Weeks 1-12 Bennet
description
Transcript of Weeks 1-12 Bennet
5/23/2015 Math 240 Old Assignments
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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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