Weeks 1-12 Bennet

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Previous Weeks' Assignments Practice Exams Exam 1, Fall 2010 Exam 1, Spring 2011 Exam 2, Fall 2010 Exam 2, Spring 2011 Exam 3, Fall 2010 Exam 3, Spring 2011 Exam 1 Solutions, Fall 2010 Exam 1 Solutions, Spring 2011 Exam 2 Solutions, Fall 2010 Exam 2 Solutions, Spring 2011 Exam 3, Fall 2010 Solutions Exam 3, Spring 2011 Solutions Week 1 Monday, 8/25 What is a differential equation? Text: Introduction Lecture Notes Tuesday, 8/26 Slope Fields Lab Text: Geometric Interpretation Slope Fields Lab Applet Wednesday, 8/27 Separable Equations Text: Separable Equations Text: Initial Value Problems Lecture Notes Thursday, 8/28 Recitation Written Homework (due Tuesday, 9/2, at 5:00) Exercises : 2, 12, 15, 17, 20 Online Homework (due Tuesday, 9/2, at midnight) Separable Equations Studio Assignment (due Wednesday, 9/3, at 5:00) Text: Geometric Interpretation Write up your answers to all 8 problems to turn in. Week 2

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Transcript of Weeks 1-12 Bennet

Page 1: Weeks 1-12 Bennet

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Previous Weeks' Assignments

Practice Exams

Exam 1, Fall 2010Exam 1, Spring 2011

Exam 2, Fall 2010Exam 2, Spring 2011

Exam 3, Fall 2010Exam 3, Spring 2011

Exam 1 Solutions, Fall 2010Exam 1 Solutions, Spring 2011

Exam 2 Solutions, Fall 2010Exam 2 Solutions, Spring 2011

Exam 3, Fall 2010 SolutionsExam 3, Spring 2011 Solutions

Week 1

Monday, 8/25 What is a differential equation?Text: IntroductionLecture Notes

Tuesday, 8/26 Slope Fields LabText: Geometric InterpretationSlope Fields Lab Applet

Wednesday, 8/27 Separable EquationsText: Separable EquationsText: Initial Value ProblemsLecture Notes

Thursday, 8/28 Recitation

Written Homework (due Tuesday, 9/2, at 5:00)

Exercises: 2, 12, 15, 17, 20

Online Homework (due Tuesday, 9/2, at midnight)

Separable Equations

Studio Assignment (due Wednesday, 9/3, at 5:00)

Text: Geometric InterpretationWrite up your answers to all 8 problems to turn in.

Week 2

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Monday, 9/1 Labor Day

Tuesday, 9/2 Numerical MethodsText: Numerical Methods

Wednesday, 9/3 Exact EquationsText: Exact EquationsLecture Notes

Thursday, 9/4 Recitation

Written Homework

Exercises: 23, 31, 35, 39 (due Tuesday, 9/9, at 5:00)

Online Homework

Exact Equations (due Tuesday, 9/9, at midnight)

Studio Assignment

Text: Numerical Methods (due Wednesday, 9/10, at 5:00)Problems: 1, 3, 7, 9, 13, 15

Week 3

Monday, 9/8 Linear EquationsText: Linear EquationsLecture Notes

Tuesday, 9/9 Autonomous EquationsText: Autonomous Equations

Wednesday, 9/10 Change of VariablesText: Change of VariablesLecture Notes

Thursday, 9/11 Recitation

Written Homework

Exercises: 33, 37, 40, 49, 50 (due Tuesday, 9/16, at 5:00)

Online Homework

Linear Equations (due Monday, 9/15, at midnight)Bernoulli Equations (due Tuesday, 9/16, at midnight)Homogeneous Equations (due Tuesday, 9/16, at midnight)

Studio Assignment

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Text: Autonomous Equations (due Wednesday, 9/17, at 5:00)Submit a lab report as defined in the text instructions

Extra Credit

Text: Runge­Kutta Methods (due in Recitation, 9/18)Problems: 2, 3, 5, 6, 7

Week 4

Monday,9/15

Long­Term Behavior of SolutionsText: Long­Term BehaviorText: Population ModelsBecause of technical difficulties, I did this lectureon the board and so notes were not recorded onthe computer. Since students have requestedposted notes, I'm linking to the notes from thelast time I covered this material in class.

Spring 2011 Lecture Notes

Tuesday,9/16

Harvesting ModelsText: Harvesting ModelsVox.com article on overfishing

Wednesday,9/17

Theory of First Order EquationsText: Picking a Technique and Theory of FirstOrder EquationsLecture Notes

Thursday,9/18

Recitation

Written Homework

Exercises: 42, 54, 56, 61, 62 (due Monday, 9/22, at 5:00)

Online Homework

Autonomous Equations (due Monday, 9/22, at midnight)

Studio Assignment

Text: Harvesting Models (due Tuesday, 9/23, at 5:00)Submit a lab report as defined in the text instructions

Week 5

Monday,9/22

Complex VariablesText: Complex VariablesBring a notecard with a question you'd likeanswered before the exam.Lecture Notes

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Tuesday,9/23

Review for Exam

Tuesday,9/237:15­8:45pm

Exam 1

Score Grade # of Students

 64­80  A 57

56­63 B 66

48­55 C 45

40­47 D 18

0­39 F 15Exam 1Exam 1 Solutions

Wednesday,9/24

Geometry of Complex NumbersText: Geometry of Complex NumbersNo NotecardLecture Notes

Thursday,9/25

Recitation

Online Homework

Complex Arithmetic (due Monday, 9/29, at midnight)Complex Variables (due Tuesday, 9/30, at midnight)

Extra Credit

Text: Calculus of Variations (due in Recitation, 10/2)Problems: 1, 2, 3, 4, 5

Week 6

Monday,9/29

Theory of Linear EquationsText: Theory of Linear EquationsBring a notecard with whatever you found mostconfusing in reading the section.Lecture Notes

Tuesday,9/30

Complex Graphs StudioText: Graphing Complex Functions

Wednesday,10/1

Homogeneous EquationsText: Homogeneous EquationsBring a notecard with whatever you found mostconfusing in reading the section.

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Lecture Notes

Thursday,10/2

Recitation

Written Homework

Exercises: 12, 16, 30, 33, 45 (due Tuesday, 10/7, at 5:00)

Online Homework

Second Order Homogeneous Equations (due Tuesday, 10/7, at midnight)

Studio Assignment

Text: Graphing Complex Functions (due Wednesday, 10/8, at 5:00)Submit answers to all problems 1­10.

Week 7

Monday,10/6

Inhomogemeous EquationsText: Inhomogeneous EquationsBring a notecard with whatever you found mostconfusing in reading the section.Lecture Notes

Tuesday,10/7

Numerical Methods for Higher Order EquationsText: Numerical Methods for Higher OrderEquations

Wednesday,10/8

Variation of ParametersText: Variation of ParametersBring a notecard with whatever you found mostconfusing in reading the section.Lecture Notes

Thursday,10/9

Recitation

Written Homework

Exercises: 37, 38, 46, 48, 79 (due Tuesday, 10/14, at 5:00)

Online Homework

Second Order Inhomogeneous Equations (due Tuesday, 10/14, at midnight)

Studio Assignment

Text: Numerical Methods (due Wednesday, 10/15 at 5:00)Problems 1, 4, 5, 8, 10

Extra Credit

Second Order Autonomous Equations (due Thursday, 10/16 in recitation)

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Problems 1 and 2

Week 8

Monday,10/13

Inhomogemeous EquationsText: Free MotionBring a notecard with whatever you found mostconfusing in reading the section.Lecture Notes

Tuesday,10/14

Graphing Solutions to Second Order Linear EquationsStudio AssignmentYou will find it useful to have read the section onForced Motion (to be covered in lectureWednesday) before completing this lab.

Wednesday,10/15

Forced MotionText: Forced MotionBring a notecard with whatever you found mostconfusing in reading the section.Lecture Notes

Thursday,10/16

Recitation

Written Homework

Exercises: 54, 55, 64, 69, 72 (due Monday, 10/20, at 5:00)

Online Homework

Spring­Mass Systems (due Monday, 10/20, at midnight)

Studio Assignment

Lab Instructions (due Tuesday, 10/21, at 5:00)Submit answers to all problems 1­8.

Week 9

Monday,10/20

Review of Chapter 2Bring a notecard with a question you would likeanswered before the exam.Lecture Notes

Tuesday,10/21

Review for the exam

Tuesday,10/217:15­

Exam 2Score Grade # of Students

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8:45pm  70­80  A 44

62­69 B 65

54­61 C 54

46­53 D 20

0­45 F 10Exam 2Exam 2 Solutions

Wednesday,10/22

Laplace TransformsText: Laplace TransformsText: Laplace Transform TableNo notecardLecture Notes

Thursday,10/23

Recitation

Online Homework

Laplace Transforms (due Tuesday, 10/28, at midnight)Inverse Laplace Transforms (due Tuesday, 10/28, at midnight)

Extra Credit

The Gamma Function (due Thursday, 10/30 in recitation)Do problems 1 (6 points), 2, 3, and 7 (2 points apiece).

Week 10

Monday,10/27

Solving Differential Equations with LaplaceTransforms

Text: Solving Differential Equations withLaplace TransformsBring a notecard with a question over thesection.Lecture Notes

Tuesday,10/28

Poles of the Laplace Transform and Behavior ofSolutions

InstructionsStability Lab

Wednesday,10/29

Impulse FunctionsText: Impulse FunctionsText: ConvolutionsBring a notecard with a question over the

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section.Lecture Notes

Thursday,10/30

Recitation

Written Homework

Exercises: 4, 11, 14, 16, 24 (due Tuesday, 11/4, at 5:00)

Online Homework

Impulse Functions (due Tuesday, 11/4, at midnight)

Studio Assignment

Poles of Laplace Transform Lab (due Wednesday, 11/5, at 5:00)Submit answers to the bold­face questions in 2­7.

Week 11

Monday, 11/3 Systems of Linear EquationsText: Linear SystemsText: Non­Linear SystemsBring a notecard with a question over thesections.Lecture Notes

Tuesday, 11/4 Systems LabInstructionsSystems Lab

Wednesday,11/5

Mathematical Models and Geometric MethodsText: Geometric MethodsBring a notecard with a question over thesection.Lecture Notes

Thursday, 11/6 Recitation

Written Homework

Exercises: 30, 34, 38, 39, 40 (due Tuesday, 11/11, at 5:00)

Online Homework

First Order Linear Systems (due Tuesday, 11/11, at midnight)

Studio Assignment

Systems Lab (due Wednesday, 11/12, at 5:00)Submit answers to the bold­face questions in 1­5.

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Extra Credit

Pendulums and Almost Periodic Functions (due Thursday, 11/13 in recitation)Exercises 1­4.

Week 12

Monday, 11/10 Power SeriesText: Power SeriesBring a notecard with a question over thesection.Lecture Notes

Tuesday, 11/11 Series Solutions LabInstructionsSeries Solutions Lab

Wednesday,11/12

Series SolutionsText: Series SolutionsBring a notecard with a question over thesection.Lecture Notes

Thursday, 11/13 Recitation

Written Homework

Exercises: 4, 6, 8, 9, 12 (due Monday, 11/17, at 5:00)

Online Homework

Series Solutions (due Monday, 11/17, at midnight)

Studio Assignment

Series Solutions Lab (due Tuesday, 11/18, at 5:00)Submit answers to the bold­face questions in 1­6.

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