Handbook of Differential Equations: Ordinary Differential Equations, Volume 1
Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations...
Transcript of Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations...
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Active/Self-Paced/Blended/On-LineDifferential Equations: (How) Does It
Work?
Bernd Schroder
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Most Students in Differential Equations AreEngineering Majors
1. And even if not, we must pay attention to the applications.2. If differential equations (mathematics) had no applications,
most people would not care.3. Regarding remote delivery: Motivation is the key, natural
applications can help.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Most Students in Differential Equations AreEngineering Majors
1. And even if not, we must pay attention to the applications.
2. If differential equations (mathematics) had no applications,most people would not care.
3. Regarding remote delivery: Motivation is the key, naturalapplications can help.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Most Students in Differential Equations AreEngineering Majors
1. And even if not, we must pay attention to the applications.2. If differential equations (mathematics) had no applications,
most people would not care.
3. Regarding remote delivery: Motivation is the key, naturalapplications can help.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 5: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/5.jpg)
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Most Students in Differential Equations AreEngineering Majors
1. And even if not, we must pay attention to the applications.2. If differential equations (mathematics) had no applications,
most people would not care.3. Regarding remote delivery
: Motivation is the key, naturalapplications can help.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 6: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/6.jpg)
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Most Students in Differential Equations AreEngineering Majors
1. And even if not, we must pay attention to the applications.2. If differential equations (mathematics) had no applications,
most people would not care.3. Regarding remote delivery: Motivation is the key
, naturalapplications can help.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Most Students in Differential Equations AreEngineering Majors
1. And even if not, we must pay attention to the applications.2. If differential equations (mathematics) had no applications,
most people would not care.3. Regarding remote delivery: Motivation is the key, natural
applications can help.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 8: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/8.jpg)
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Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
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Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Limits
Derivatives
Integrals
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Limits
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Integrals
Vector Calculus
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
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Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
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Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
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Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Linearity vs. Nature’s Requirements
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Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Linearity vs. Nature’s Requirements
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6
Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Linearity vs. Nature’s Requirements
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6
Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Linearity vs. Nature’s Requirements
-
6
Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
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6
Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Linearity vs. Nature’s Requirements
-
6
Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Linearity vs. Nature’s Requirements
-
6
Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Linearity vs. Nature’s Requirements
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6
Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
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6
Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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Algebra
Limits
Derivatives
Integrals
Vector Calculus
Diff. Eq.
Linear Algebra
Statistics
Partial Diff. Eq.
Topics presented vs. used
Math (dashed) vs. Engr. & Sci. (solid)
Curriculumstarts
Curriculumends
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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The Text
1. Standard topics: First order DEs, linear constant coefficientDEs, Laplace transforms, series solutions, systems.
2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
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The Text1. Standard topics
: First order DEs, linear constant coefficientDEs, Laplace transforms, series solutions, systems.
2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 36: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/36.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs
, linear constant coefficientDEs, Laplace transforms, series solutions, systems.
2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 37: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/37.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs
, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 38: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/38.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms
, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 39: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/39.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions
, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 40: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/40.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.
2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 41: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/41.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular.
(So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 42: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/42.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)
3. Application focused: Spring-Mass-Systems, LRC Circuits,Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 43: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/43.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused
: Spring-Mass-Systems, LRC Circuits,Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 44: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/44.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems
, LRC Circuits,Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 45: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/45.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits
,Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 46: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/46.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits
, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 47: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/47.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables
, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 48: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/48.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings
,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 49: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/49.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom.
(Pick and choose.)4. Concise and active: Activities and videos take the place of
longer lists of examples.5. Special focus on “reading with a pencil”.
That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 50: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/50.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 51: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/51.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active
: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 52: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/52.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 53: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/53.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.
That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 54: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/54.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 55: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/55.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.)
What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 56: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/56.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have?
(And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 57: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/57.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
The Text1. Standard topics: First order DEs, linear constant coefficient
DEs, Laplace transforms, series solutions, systems.2. Modular. (So you can change the order.)3. Application focused: Spring-Mass-Systems, LRC Circuits,
Multi-Loop Circuits, Hanging Cables, Oscillating Strings,Hydrogen Atom. (Pick and choose.)
4. Concise and active: Activities and videos take the place oflonger lists of examples.
5. Special focus on “reading with a pencil”.That’s it.
(Question meant in a very constructive way.) What else did weand the generations before us have? (And every one of thesepeople is a case study of what did or did not work.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 58: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/58.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Non-Text Materials
1. Video presentations of focused topics. Seehttp://www2.latech.edu/~schroder/videos.htm
Comments appreciated.2. Homework delivered with WebWork. See
http://webwork.maa.org/wiki/Main_Page
(I consider it confusing to have too many places where stuffneeds to be done.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 59: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/59.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Non-Text Materials1. Video presentations of focused topics.
Seehttp://www2.latech.edu/~schroder/videos.htm
Comments appreciated.2. Homework delivered with WebWork. See
http://webwork.maa.org/wiki/Main_Page
(I consider it confusing to have too many places where stuffneeds to be done.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 60: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/60.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Non-Text Materials1. Video presentations of focused topics. See
http://www2.latech.edu/~schroder/videos.htm
Comments appreciated.2. Homework delivered with WebWork. See
http://webwork.maa.org/wiki/Main_Page
(I consider it confusing to have too many places where stuffneeds to be done.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 61: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/61.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Non-Text Materials1. Video presentations of focused topics. See
http://www2.latech.edu/~schroder/videos.htm
Comments appreciated.
2. Homework delivered with WebWork. Seehttp://webwork.maa.org/wiki/Main_Page
(I consider it confusing to have too many places where stuffneeds to be done.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 62: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/62.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Non-Text Materials1. Video presentations of focused topics. See
http://www2.latech.edu/~schroder/videos.htm
Comments appreciated.2. Homework delivered with WebWork.
Seehttp://webwork.maa.org/wiki/Main_Page
(I consider it confusing to have too many places where stuffneeds to be done.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 63: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/63.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Non-Text Materials1. Video presentations of focused topics. See
http://www2.latech.edu/~schroder/videos.htm
Comments appreciated.2. Homework delivered with WebWork. See
http://webwork.maa.org/wiki/Main_Page
(I consider it confusing to have too many places where stuffneeds to be done.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 64: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/64.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Non-Text Materials1. Video presentations of focused topics. See
http://www2.latech.edu/~schroder/videos.htm
Comments appreciated.2. Homework delivered with WebWork. See
http://webwork.maa.org/wiki/Main_Page
(I consider it confusing to have too many places where stuffneeds to be done.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 65: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/65.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Delivery of the Course
1. Early version of text used for several years in LouisianaTech’s Integrated Engineering and Science Curricula.
2. Course delivered face-to-face with new drafts in Summer2008 (by the author) and Fall 2008 (by the author and acolleague in a parallel session).
3. Videos were available in Summer (half) and Fall (all).4. First on-line delivery in Winter 2008-2009 quarter (by the
author) and in Spring 2009 (by a colleague).
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 66: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/66.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Delivery of the Course1. Early version of text used for several years in Louisiana
Tech’s Integrated Engineering and Science Curricula.
2. Course delivered face-to-face with new drafts in Summer2008 (by the author) and Fall 2008 (by the author and acolleague in a parallel session).
3. Videos were available in Summer (half) and Fall (all).4. First on-line delivery in Winter 2008-2009 quarter (by the
author) and in Spring 2009 (by a colleague).
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 67: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/67.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Delivery of the Course1. Early version of text used for several years in Louisiana
Tech’s Integrated Engineering and Science Curricula.2. Course delivered face-to-face with new drafts in Summer
2008 (by the author)
and Fall 2008 (by the author and acolleague in a parallel session).
3. Videos were available in Summer (half) and Fall (all).4. First on-line delivery in Winter 2008-2009 quarter (by the
author) and in Spring 2009 (by a colleague).
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 68: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/68.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Delivery of the Course1. Early version of text used for several years in Louisiana
Tech’s Integrated Engineering and Science Curricula.2. Course delivered face-to-face with new drafts in Summer
2008 (by the author) and Fall 2008 (by the author and acolleague in a parallel session).
3. Videos were available in Summer (half) and Fall (all).4. First on-line delivery in Winter 2008-2009 quarter (by the
author) and in Spring 2009 (by a colleague).
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 69: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/69.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Delivery of the Course1. Early version of text used for several years in Louisiana
Tech’s Integrated Engineering and Science Curricula.2. Course delivered face-to-face with new drafts in Summer
2008 (by the author) and Fall 2008 (by the author and acolleague in a parallel session).
3. Videos were available in Summer (half) and Fall (all).
4. First on-line delivery in Winter 2008-2009 quarter (by theauthor) and in Spring 2009 (by a colleague).
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 70: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/70.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Delivery of the Course1. Early version of text used for several years in Louisiana
Tech’s Integrated Engineering and Science Curricula.2. Course delivered face-to-face with new drafts in Summer
2008 (by the author) and Fall 2008 (by the author and acolleague in a parallel session).
3. Videos were available in Summer (half) and Fall (all).4. First on-line delivery in Winter 2008-2009 quarter (by the
author)
and in Spring 2009 (by a colleague).
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 71: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/71.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Delivery of the Course1. Early version of text used for several years in Louisiana
Tech’s Integrated Engineering and Science Curricula.2. Course delivered face-to-face with new drafts in Summer
2008 (by the author) and Fall 2008 (by the author and acolleague in a parallel session).
3. Videos were available in Summer (half) and Fall (all).4. First on-line delivery in Winter 2008-2009 quarter (by the
author) and in Spring 2009 (by a colleague).
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 72: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/72.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different
1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 73: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/73.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.
2. Requires prepared learner and teacher. (Are we alreadyprepared?)
3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 74: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/74.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner
and teacher. (Are we alreadyprepared?)
3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 75: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/75.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher.
(Are we alreadyprepared?)
3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 76: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/76.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)
3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 77: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/77.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day
for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 78: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/78.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.
4. Field of vision is limited to a screen, which is too small formost mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 79: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/79.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics.
Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 80: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/80.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 81: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/81.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion.
Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 82: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/82.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 83: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/83.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.
7. On-line students often have additional responsibilities.(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 84: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/84.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 85: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/85.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Why On-Line Delivery is Different1. No/limited/different one-on-one human interaction.2. Requires prepared learner and teacher. (Are we already
prepared?)3. Requires the will to study every day for long hours.4. Field of vision is limited to a screen, which is too small for
most mathematics. Comments appreciated onhttp://www2.latech.edu/~schroder/videos.htm
5. Can incorporate voice, more illustrations and especiallymotion. Comments appreciated on http:
//www2.latech.edu/~schroder/animations.htm
6. Proctoring becomes a challenge.7. On-line students often have additional responsibilities.
(Work, family, ...)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 86: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/86.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics
1. Aren’t we already doing it? Automated homework systemstake care of a key component of instruction in many places.
2. Not a new concept: We called them “books”.3. Reading already is active learning, focus can be enhanced
by alternating reading, presentations, activities.4. Establish that on-line classes are not “the easy way out”.
If anything, they are harder, but they can leave you betterprepared. (If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 87: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/87.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics1. Aren’t we already doing it? Automated homework systems
take care of a key component of instruction in many places.
2. Not a new concept: We called them “books”.3. Reading already is active learning, focus can be enhanced
by alternating reading, presentations, activities.4. Establish that on-line classes are not “the easy way out”.
If anything, they are harder, but they can leave you betterprepared. (If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 88: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/88.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics1. Aren’t we already doing it? Automated homework systems
take care of a key component of instruction in many places.2. Not a new concept: We called them “books”.
3. Reading already is active learning, focus can be enhancedby alternating reading, presentations, activities.
4. Establish that on-line classes are not “the easy way out”.If anything, they are harder, but they can leave you betterprepared. (If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 89: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/89.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics1. Aren’t we already doing it? Automated homework systems
take care of a key component of instruction in many places.2. Not a new concept: We called them “books”.3. Reading already is active learning
, focus can be enhancedby alternating reading, presentations, activities.
4. Establish that on-line classes are not “the easy way out”.If anything, they are harder, but they can leave you betterprepared. (If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 90: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/90.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics1. Aren’t we already doing it? Automated homework systems
take care of a key component of instruction in many places.2. Not a new concept: We called them “books”.3. Reading already is active learning, focus can be enhanced
by alternating reading, presentations, activities.
4. Establish that on-line classes are not “the easy way out”.If anything, they are harder, but they can leave you betterprepared. (If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 91: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/91.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics1. Aren’t we already doing it? Automated homework systems
take care of a key component of instruction in many places.2. Not a new concept: We called them “books”.3. Reading already is active learning, focus can be enhanced
by alternating reading, presentations, activities.4. Establish that on-line classes are not “the easy way out”.
If anything, they are harder, but they can leave you betterprepared. (If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 92: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/92.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics1. Aren’t we already doing it? Automated homework systems
take care of a key component of instruction in many places.2. Not a new concept: We called them “books”.3. Reading already is active learning, focus can be enhanced
by alternating reading, presentations, activities.4. Establish that on-line classes are not “the easy way out”.
If anything, they are harder, but they can leave you betterprepared.
(If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 93: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/93.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics1. Aren’t we already doing it? Automated homework systems
take care of a key component of instruction in many places.2. Not a new concept: We called them “books”.3. Reading already is active learning, focus can be enhanced
by alternating reading, presentations, activities.4. Establish that on-line classes are not “the easy way out”.
If anything, they are harder, but they can leave you betterprepared. (If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 94: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/94.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics1. Aren’t we already doing it? Automated homework systems
take care of a key component of instruction in many places.2. Not a new concept: We called them “books”.3. Reading already is active learning, focus can be enhanced
by alternating reading, presentations, activities.4. Establish that on-line classes are not “the easy way out”.
If anything, they are harder, but they can leave you betterprepared. (If you can teach yourself mathematics, you canteach yourself anything.)
5. To start, pick a course that is not impeded too much bylimited presentation space.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 95: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/95.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)
1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 96: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/96.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.
2. “Read first”/“Discover first” approach.2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 97: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/97.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 98: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/98.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.
2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 99: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/99.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.
2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 100: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/100.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.
2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 101: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/101.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.
2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 102: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/102.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.
2.6 Do homework, preferably closed book.3. Tests are still paper and pencil. For remote students, a
secure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 103: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/103.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 104: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/104.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil.
For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 105: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/105.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory.
Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 106: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/106.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (My Approach)1. Focused text that is meant to be read.2. “Read first”/“Discover first” approach.
2.1 Start with a “follow the instructions” discovery activity.2.2 Read the section.2.3 Solve practice problems.2.4 Finish reading, if applicable.2.5 Then watch the presentation.2.6 Do homework, preferably closed book.
3. Tests are still paper and pencil. For remote students, asecure testing site is mandatory. Tests can be mailed to aproctor in pdf format.
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 107: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/107.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (Tools andResources)
1. WeBWorKhttp://webwork.maa.org/wiki/Main_Page
2. MikTEX http://www.miktex.org (beamer included),WinEdt http://www.winedt.com/, TEXnicCenterhttp://www.toolscenter.org/, TEXCADhttp://texcad.sourceforge.net/, Graphe Easyhttp://www.grapheeasy.com/index2.php?lang=en
3. MERLOT (Multimedia Educational Resource for Learningand On-Line Teaching) http://www.merlot.org
4. ALEKS (Assessment and LEarning in Knowledge Spaces)http://www.aleks.com/highered
5. “That stuff that comes with your book.”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 108: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/108.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (Tools andResources)
1. WeBWorKhttp://webwork.maa.org/wiki/Main_Page
2. MikTEX http://www.miktex.org (beamer included),WinEdt http://www.winedt.com/, TEXnicCenterhttp://www.toolscenter.org/, TEXCADhttp://texcad.sourceforge.net/, Graphe Easyhttp://www.grapheeasy.com/index2.php?lang=en
3. MERLOT (Multimedia Educational Resource for Learningand On-Line Teaching) http://www.merlot.org
4. ALEKS (Assessment and LEarning in Knowledge Spaces)http://www.aleks.com/highered
5. “That stuff that comes with your book.”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 109: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/109.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (Tools andResources)
1. WeBWorKhttp://webwork.maa.org/wiki/Main_Page
2. MikTEX http://www.miktex.org (beamer included),WinEdt http://www.winedt.com/, TEXnicCenterhttp://www.toolscenter.org/, TEXCADhttp://texcad.sourceforge.net/, Graphe Easyhttp://www.grapheeasy.com/index2.php?lang=en
3. MERLOT (Multimedia Educational Resource for Learningand On-Line Teaching) http://www.merlot.org
4. ALEKS (Assessment and LEarning in Knowledge Spaces)http://www.aleks.com/highered
5. “That stuff that comes with your book.”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 110: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/110.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (Tools andResources)
1. WeBWorKhttp://webwork.maa.org/wiki/Main_Page
2. MikTEX http://www.miktex.org (beamer included),WinEdt http://www.winedt.com/, TEXnicCenterhttp://www.toolscenter.org/, TEXCADhttp://texcad.sourceforge.net/, Graphe Easyhttp://www.grapheeasy.com/index2.php?lang=en
3. MERLOT (Multimedia Educational Resource for Learningand On-Line Teaching) http://www.merlot.org
4. ALEKS (Assessment and LEarning in Knowledge Spaces)http://www.aleks.com/highered
5. “That stuff that comes with your book.”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 111: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/111.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (Tools andResources)
1. WeBWorKhttp://webwork.maa.org/wiki/Main_Page
2. MikTEX http://www.miktex.org (beamer included),WinEdt http://www.winedt.com/, TEXnicCenterhttp://www.toolscenter.org/, TEXCADhttp://texcad.sourceforge.net/, Graphe Easyhttp://www.grapheeasy.com/index2.php?lang=en
3. MERLOT (Multimedia Educational Resource for Learningand On-Line Teaching) http://www.merlot.org
4. ALEKS (Assessment and LEarning in Knowledge Spaces)http://www.aleks.com/highered
5. “That stuff that comes with your book.”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 112: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/112.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Remote Delivery of Mathematics (Tools andResources)
1. WeBWorKhttp://webwork.maa.org/wiki/Main_Page
2. MikTEX http://www.miktex.org (beamer included),WinEdt http://www.winedt.com/, TEXnicCenterhttp://www.toolscenter.org/, TEXCADhttp://texcad.sourceforge.net/, Graphe Easyhttp://www.grapheeasy.com/index2.php?lang=en
3. MERLOT (Multimedia Educational Resource for Learningand On-Line Teaching) http://www.merlot.org
4. ALEKS (Assessment and LEarning in Knowledge Spaces)http://www.aleks.com/highered
5. “That stuff that comes with your book.”Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 113: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/113.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues
1. Students like the enthusiasm and the videos. (Review,exam preparation, missed classes.)
2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 114: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/114.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos.
(Review,exam preparation, missed classes.)
2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 115: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/115.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)
2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 116: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/116.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.
3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 117: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/117.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.
4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 118: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/118.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.
5. Fast paced videos are o.k.: Students can (and do) stop andrewind. (And the corny jokes seem bearable, too.)
6. Colleague wanted to take over the on-line class for spring.(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 119: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/119.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.
: Students can (and do) stop andrewind. (And the corny jokes seem bearable, too.)
6. Colleague wanted to take over the on-line class for spring.(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 120: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/120.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind.
(And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 121: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/121.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)
6. Colleague wanted to take over the on-line class for spring.(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 122: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/122.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 123: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/123.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure:
Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 124: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/124.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture.
And yes, I am the Academic Director.)7. “In math, if you go to class or not, you have to teach it to
yourself anyway.”8. Students use the materials in different ways: Groups watch
videos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 125: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/125.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 126: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/126.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 127: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/127.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways
: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 128: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/128.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together
, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 129: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/129.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Students/Colleagues1. Students like the enthusiasm and the videos. (Review,
exam preparation, missed classes.)2. Students and colleague like the integrated applications.3. Students want more examples.4. Student performance is comparable to other classes.5. Fast paced videos are o.k.: Students can (and do) stop and
rewind. (And the corny jokes seem bearable, too.)6. Colleague wanted to take over the on-line class for spring.
(Full disclosure: Louisiana Tech has a strong teachingculture. And yes, I am the Academic Director.)
7. “In math, if you go to class or not, you have to teach it toyourself anyway.”
8. Students use the materials in different ways: Groups watchvideos together, one actually follows my directions ...
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 130: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/130.jpg)
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Can On-Line Preparation Improve YourTeaching?
1. Limitations can focus your attention: A small windowrequires concise statements and approaches. It can alsoimprove your organization and segmenting.
2. Seeing the lengths of your presentations makes you thinkabout how to get to the point a little faster.
3. BUT: Need to remember that it’s still just one class. (60hours of video for a 3 credit hour class is not an option.Not even 31.5 = 37.5−6 hours are an option.)
4. Can these materials be used to facilitate the Mooremethod? (For the Moore method, “traditional backup” maybe what allows us to override some natural inhibitions.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 131: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/131.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Can On-Line Preparation Improve YourTeaching?
1. Limitations can focus your attention: A small windowrequires concise statements and approaches. It can alsoimprove your organization and segmenting.
2. Seeing the lengths of your presentations makes you thinkabout how to get to the point a little faster.
3. BUT: Need to remember that it’s still just one class. (60hours of video for a 3 credit hour class is not an option.Not even 31.5 = 37.5−6 hours are an option.)
4. Can these materials be used to facilitate the Mooremethod? (For the Moore method, “traditional backup” maybe what allows us to override some natural inhibitions.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 132: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/132.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Can On-Line Preparation Improve YourTeaching?
1. Limitations can focus your attention: A small windowrequires concise statements and approaches. It can alsoimprove your organization and segmenting.
2. Seeing the lengths of your presentations makes you thinkabout how to get to the point a little faster.
3. BUT: Need to remember that it’s still just one class. (60hours of video for a 3 credit hour class is not an option.Not even 31.5 = 37.5−6 hours are an option.)
4. Can these materials be used to facilitate the Mooremethod? (For the Moore method, “traditional backup” maybe what allows us to override some natural inhibitions.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 133: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/133.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Can On-Line Preparation Improve YourTeaching?
1. Limitations can focus your attention: A small windowrequires concise statements and approaches. It can alsoimprove your organization and segmenting.
2. Seeing the lengths of your presentations makes you thinkabout how to get to the point a little faster.
3. BUT: Need to remember that it’s still just one class.
(60hours of video for a 3 credit hour class is not an option.Not even 31.5 = 37.5−6 hours are an option.)
4. Can these materials be used to facilitate the Mooremethod? (For the Moore method, “traditional backup” maybe what allows us to override some natural inhibitions.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 134: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/134.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Can On-Line Preparation Improve YourTeaching?
1. Limitations can focus your attention: A small windowrequires concise statements and approaches. It can alsoimprove your organization and segmenting.
2. Seeing the lengths of your presentations makes you thinkabout how to get to the point a little faster.
3. BUT: Need to remember that it’s still just one class. (60hours of video for a 3 credit hour class is not an option.
Not even 31.5 = 37.5−6 hours are an option.)4. Can these materials be used to facilitate the Moore
method? (For the Moore method, “traditional backup” maybe what allows us to override some natural inhibitions.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 135: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/135.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Can On-Line Preparation Improve YourTeaching?
1. Limitations can focus your attention: A small windowrequires concise statements and approaches. It can alsoimprove your organization and segmenting.
2. Seeing the lengths of your presentations makes you thinkabout how to get to the point a little faster.
3. BUT: Need to remember that it’s still just one class. (60hours of video for a 3 credit hour class is not an option.Not even 31.5 = 37.5−6 hours are an option.)
4. Can these materials be used to facilitate the Mooremethod? (For the Moore method, “traditional backup” maybe what allows us to override some natural inhibitions.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 136: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/136.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Can On-Line Preparation Improve YourTeaching?
1. Limitations can focus your attention: A small windowrequires concise statements and approaches. It can alsoimprove your organization and segmenting.
2. Seeing the lengths of your presentations makes you thinkabout how to get to the point a little faster.
3. BUT: Need to remember that it’s still just one class. (60hours of video for a 3 credit hour class is not an option.Not even 31.5 = 37.5−6 hours are an option.)
4. Can these materials be used to facilitate the Mooremethod?
(For the Moore method, “traditional backup” maybe what allows us to override some natural inhibitions.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 137: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/137.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Can On-Line Preparation Improve YourTeaching?
1. Limitations can focus your attention: A small windowrequires concise statements and approaches. It can alsoimprove your organization and segmenting.
2. Seeing the lengths of your presentations makes you thinkabout how to get to the point a little faster.
3. BUT: Need to remember that it’s still just one class. (60hours of video for a 3 credit hour class is not an option.Not even 31.5 = 37.5−6 hours are an option.)
4. Can these materials be used to facilitate the Mooremethod? (For the Moore method, “traditional backup” maybe what allows us to override some natural inhibitions.)
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 138: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/138.jpg)
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Clientele Course Materials On-Line Delivery Adding the Two Reactions
Becoming Involved as a Mathematician
1. Non-mathematicians are worth talking to.2. The study of related fields can be interesting and
rewarding.3. Knowing “their” language (forcing functions, shock
absorbers ...) goes a long way with students.4. Successful teaching can have significant positive impact on
mathematics and on society.5. Development of courses and curricula can be rewarding.
(Personally, I’m hooked on writing books.)6. It can be eye-opening to ask questions like: “Is ... really
the right requirement for ...?”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 139: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/139.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Becoming Involved as a Mathematician1. Non-mathematicians are worth talking to.
2. The study of related fields can be interesting andrewarding.
3. Knowing “their” language (forcing functions, shockabsorbers ...) goes a long way with students.
4. Successful teaching can have significant positive impact onmathematics and on society.
5. Development of courses and curricula can be rewarding.(Personally, I’m hooked on writing books.)
6. It can be eye-opening to ask questions like: “Is ... reallythe right requirement for ...?”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 140: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/140.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Becoming Involved as a Mathematician1. Non-mathematicians are worth talking to.2. The study of related fields can be interesting and
rewarding.
3. Knowing “their” language (forcing functions, shockabsorbers ...) goes a long way with students.
4. Successful teaching can have significant positive impact onmathematics and on society.
5. Development of courses and curricula can be rewarding.(Personally, I’m hooked on writing books.)
6. It can be eye-opening to ask questions like: “Is ... reallythe right requirement for ...?”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 141: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/141.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Becoming Involved as a Mathematician1. Non-mathematicians are worth talking to.2. The study of related fields can be interesting and
rewarding.3. Knowing “their” language (forcing functions, shock
absorbers ...) goes a long way with students.
4. Successful teaching can have significant positive impact onmathematics and on society.
5. Development of courses and curricula can be rewarding.(Personally, I’m hooked on writing books.)
6. It can be eye-opening to ask questions like: “Is ... reallythe right requirement for ...?”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 142: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/142.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Becoming Involved as a Mathematician1. Non-mathematicians are worth talking to.2. The study of related fields can be interesting and
rewarding.3. Knowing “their” language (forcing functions, shock
absorbers ...) goes a long way with students.4. Successful teaching can have significant positive impact on
mathematics and on society.
5. Development of courses and curricula can be rewarding.(Personally, I’m hooked on writing books.)
6. It can be eye-opening to ask questions like: “Is ... reallythe right requirement for ...?”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 143: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/143.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Becoming Involved as a Mathematician1. Non-mathematicians are worth talking to.2. The study of related fields can be interesting and
rewarding.3. Knowing “their” language (forcing functions, shock
absorbers ...) goes a long way with students.4. Successful teaching can have significant positive impact on
mathematics and on society.5. Development of courses and curricula can be rewarding.
(Personally, I’m hooked on writing books.)6. It can be eye-opening to ask questions like: “Is ... really
the right requirement for ...?”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 144: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/144.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Becoming Involved as a Mathematician1. Non-mathematicians are worth talking to.2. The study of related fields can be interesting and
rewarding.3. Knowing “their” language (forcing functions, shock
absorbers ...) goes a long way with students.4. Successful teaching can have significant positive impact on
mathematics and on society.5. Development of courses and curricula can be rewarding.
(Personally, I’m hooked on writing books.)
6. It can be eye-opening to ask questions like: “Is ... reallythe right requirement for ...?”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?
![Page 145: Active/Self-Paced/Blended/On-Line Differential Equations ... · If differential equations (mathematics) had no applications, most people would not care. 3. Regarding remote delivery:](https://reader034.fdocuments.net/reader034/viewer/2022042708/5f39bc245a8c6604913e2e96/html5/thumbnails/145.jpg)
logo1
Clientele Course Materials On-Line Delivery Adding the Two Reactions
Becoming Involved as a Mathematician1. Non-mathematicians are worth talking to.2. The study of related fields can be interesting and
rewarding.3. Knowing “their” language (forcing functions, shock
absorbers ...) goes a long way with students.4. Successful teaching can have significant positive impact on
mathematics and on society.5. Development of courses and curricula can be rewarding.
(Personally, I’m hooked on writing books.)6. It can be eye-opening to ask questions like: “Is ... really
the right requirement for ...?”
Bernd Schroder Louisiana Tech University, College of Engineering and Science
Active/Self-Paced/Blended/On-Line Differential Equations: (How) Does It Work?