Course Modules

End of Class Survey

End of Class Survey End of Class Survey

Quiz

End of Class Survey End of Class Survey 1

quiz 3507608 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Orientation Module

Orientation Module Orientation Module

Assignment

Upload a Profile Picture Upload a Profile Picture 10 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Quiz

Take this Syllabus Quiz Take this Syllabus Quiz 16 2

quiz 3060631 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Discussion Topic

Introduce Yourself Introduce Yourself 10 3

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Page

Get MyLab Access (Free for 14 days) Get MyLab Access (Free for 14 days) 4

wiki_page 3060633 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

Install these Applications Install these Applications 5

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External Url

Orientation Meeting Recording Orientation Meeting Recording 6

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Resources

Resources Resources

Context Module Sub Header

Integration Review Material 1

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External Url

The DI Method (for Integration by Parts) The DI Method (for Integration by Parts) 2

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Context Module Sub Header

Uploading Written Assignments 3

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Page

Tutorial - How to upload Written Assignments to Canvas Tutorial - How to upload Written Assignments to Canvas 4

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Context Module Sub Header

Graphers 5

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External Url

DField Grapher (Direction Fields) DField Grapher (Direction Fields) 6

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External Url

Desmos (2D graphing) Desmos (2D graphing) 7

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External Url

Desmos Tutorials Desmos Tutorials 8

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Attachment

Direction Fields (optional use for 1.3 Notes).nb Direction Fields (optional use for 1.3 Notes).nb 9

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External Url

Slopes App for IOS Slopes App for IOS 10

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External Url

Slopes App for Android Slopes App for Android 11

external_url 3060613 0

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Context Module Sub Header

Other 13

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Page

Tutorial - How to Upgrade to Full (Paid) MyLab Access Tutorial - How to Upgrade to Full (Paid) MyLab Access 14

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External Tool

Review Material (Study Plan) Review Material (Study Plan) 15

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Attachment

Table of Integrals, Power Series Expansions and Lapalace Transforms.pdf Table of Integrals, Power Series Expansions and Lapalace Transforms.pdf 16

attachment 3104730 0

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Attachment

Single Variable Calculus Summary Sheet Single Variable Calculus Summary Sheet 17

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Attachment

Algebra, Geometry and Trig Formulas.pdf Algebra, Geometry and Trig Formulas.pdf 18

attachment 3253571 0

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Context Module Sub Header

3rd Party Videos 19

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External Url

BlackPenRedPen (based on our textbook) BlackPenRedPen (based on our textbook) 20

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
External Url

DE video Lecture Series - MIT DE video Lecture Series - MIT 21

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External Url

Professor Leonard Professor Leonard 22

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External Url

Khan Academy Khan Academy 23

external_url 3261921 0

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Chapter 1: Introduction

Chapter 1: Introduction Chapter 1: Introduction

Context Module Sub Header

1.1 Background 1

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External Url

1.1 Lecture Video 1.1 Lecture Video 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

1.1 Homework 1.1 Homework 10 3

assignment 2914900 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

1.1 Written Work 1.1 Written Work 10 4

assignment 3223818 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

1.2 Solutions and Initial Value Problems 5

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External Url

1.2 Lecture Video 1.2 Lecture Video 6

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

1.2 Homework 1.2 Homework 11 7

assignment 2914899 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

1.2 Written Work 1.2 Written Work 11 8

assignment 3223819 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

1.3 Direction Fields 9

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External Url

1.3 and 1.4 Lecture Videos 1.3 and 1.4 Lecture Videos 10

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

1.3 Homework 1.3 Homework 7 11

assignment 2914901 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

1.3 Written Work 1.3 Written Work 7 12

assignment 3223820 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

1.4 The Approximation Method of Euler 13

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Assignment

1.4 Homework 1.4 Homework 6 14

assignment 2914902 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

1.4 Written Work 1.4 Written Work 6 15

assignment 3223821 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Chapter 2: First-Order Differential Equations

Chapter 2: First-Order Differential Equations Chapter 2: First-Order Differential Equations

Context Module Sub Header

2.1 Introduction - Motion of a Falling Body (No Homework) 1

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External Url

2.1 Lecture Video 2.1 Lecture Video 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

2.2 Separable Equations 3

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External Url

2.2 Video Lecture 2.2 Video Lecture 4

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

2.2 Homework 2.2 Homework 14 5

assignment 2914903 1

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2.3 Linear Equations 7

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External Url

2.3 Lecture Video 2.3 Lecture Video 8

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2.3 Homework 2.3 Homework 10 9

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2.4 Exact Equations 11

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External Url

2. 4 Lecture Video 2. 4 Lecture Video 12

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Chapter 3: Mathematical Models and Numerical Methods Involving First-Order Equations

Chapter 3: Mathematical Models and Numerical Methods Involving First-Order Equations Chapter 3: Mathematical Models and Numerical Methods Involving First-Order Equations

Context Module Sub Header

3.2 Compartmental Analysis 1

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External Url

3.2 Lecture Video 3.2 Lecture Video 2

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3.2 Written Work 3.2 Written Work 11 4

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Chapter4: Linear Second-Order Equations

Chapter4: Linear Second-Order Equations Chapter4: Linear Second-Order Equations

Context Module Sub Header

4.1 Introduction: The Mass-Spring Oscillator 1

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External Url

4.1 Lecture Video 4.1 Lecture Video 2

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4.2 Homogenous Linear Equations: The General Solution 3

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4.2 Homework. 4.2 Homework. 15 4

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4.2 Written Work 4.2 Written Work 15 5

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4.3 Auxiliary Equations with Complex Roots 6

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External Url

4.3 Lecture Video 4.3 Lecture Video 7

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4.3 Homework. 4.3 Homework. 11 8

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4.3 Written Work 4.3 Written Work 11 9

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Context Module Sub Header

4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients 10

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External Url

4.4 Lecture Video 4.4 Lecture Video 11

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4.4 Written Work 4.4 Written Work 11 12

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4.4 Homework. 4.4 Homework. 11 13

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Context Module Sub Header

4.5 The Superposition Principle and Undetermined Coefficients Revisited 14

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External Url

4.5 Lecture Video 4.5 Lecture Video 15

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4.5 Homework. 4.5 Homework. 15 16

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Context Module Sub Header

4.6 Variation of Parameters 18

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External Url

4.6 Lecture Video 4.6 Lecture Video 19

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4.6 Homework. 4.6 Homework. 8 20

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4.6 Written Work 4.6 Written Work 8 21

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Context Module Sub Header

4.7 Variable-Coefficient Equations 22

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External Url

4.7 Lecture Video 4.7 Lecture Video 23

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Context Module Sub Header

4.8 Qualitative Considerations for Variable-Coefficient and Nonlinear Equations 26

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4.8 Lecture Video 4.8 Lecture Video 27

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4.8 Homework. 4.8 Homework. 4 28

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4.8 Written Work 4.8 Written Work 4 29

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Context Module Sub Header

4.9 A Closer Look at Free Mechanical Vibrations 30

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4.9 Lecture Video 4.9 Lecture Video 31

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4.9 Homework. 4.9 Homework. 6 32

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4.9 Written Work 4.9 Written Work 6 33

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Context Module Sub Header

4.10 A Closer Look at Forced Mechanical Vibrations 34

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External Url

4.10 Lecture Video 4.10 Lecture Video 35

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Chapter 5: Introduction to Systems and Phase Plane Analysis

Chapter 5: Introduction to Systems and Phase Plane Analysis Chapter 5: Introduction to Systems and Phase Plane Analysis

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5.1 Interconnected Fluid Tanks 1

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5.2 Differential Operators and the Elimination Method for Systems 2

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5.1 and 5.2 Lecture Video 5.1 and 5.2 Lecture Video 3

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5.4 Introduction to the Phase Plane 7

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5.4 Lecture Video 5.4 Lecture Video 9

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Chapter 6: Theory of Higher-Order Linear Differential Equations

Chapter 6: Theory of Higher-Order Linear Differential Equations Chapter 6: Theory of Higher-Order Linear Differential Equations

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6.1 Basic Theory of Linear Differential Equations 1

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6.1 Lecture Video 6.1 Lecture Video 2

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6.2 Homogenous Linear Equations with Constant Coefficients 5

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6.2 Lecture Video 6.2 Lecture Video 6

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6.3 Undetermined Coefficients and the Annihilator Method 9

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6.3 Lecture Video 6.3 Lecture Video 10

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Chapter 7: Laplace Transforms

Chapter 7: Laplace Transforms Chapter 7: Laplace Transforms

Context Module Sub Header

7.1 Introduction - A Mixing Problem 1

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7.1 Lecture Video 7.1 Lecture Video 2

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7.2 Definition of the Laplace Transform 3

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7.2 Lecture Video 7.2 Lecture Video 4

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7.3 Properties of the Laplace Transform 7

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7.3 Lecture Video 7.3 Lecture Video 8

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7.4 Inverse Laplace Transform 11

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7.4 Lecture Video 7.4 Lecture Video 12

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7.5 Solving Initial Value Problems 15

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7.5 Lecture Video 7.5 Lecture Video 16

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Context Module Sub Header

7.6 Transforms of Discontinuous Functions 19

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7.6 Lecture Video 7.6 Lecture Video 20

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7.7 Transforms of Periodic and Power Functions 23

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7.7 Video Lecture 7.7 Video Lecture 24

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7.7 Homework. 7.7 Homework. 10 25

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7.7 Written Work 7.7 Written Work 10 26

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Chapter 8: Series Solutions of Differential Equations

Chapter 8: Series Solutions of Differential Equations Chapter 8: Series Solutions of Differential Equations

Context Module Sub Header

8.1: Introduction: The Taylor Polynomial Approximation 1

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External Url

8.1 Lecture Video 8.1 Lecture Video 2

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8.2 Power Series and Analytic Functions 3

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Lecture 8.2 Video Lecture 8.2 Video 4

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8.3 Power Series Solutions to Linear Differential Equations 7

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8.3 Lecture Video 8.3 Lecture Video 8

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8.4 Equations with Analytic Coefficients 11

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8.4 Lecture Video 8.4 Lecture Video 12

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8.6 Method of Frobenius 15

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Chapter 9 Matrix Method for Linear Systems

Chapter 9 Matrix Method for Linear Systems Chapter 9 Matrix Method for Linear Systems

Context Module Sub Header

9.1 Introduction 1

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9.1 Lecture Video 9.1 Lecture Video 2

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9.2 Review 1: Linear Algebraic Equations 5

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9.2 Lecture Video 9.2 Lecture Video 6

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9.3 Review 2: Matrices and Vectors 9

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9.3 Lecture Video 9.3 Lecture Video 10

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9.4 Linear Systems in Normal Form 13

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9.5 Homogeneous Linear Systems with Constant Coefficients 17

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9.6 Complex Eigenvalues 20

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9.7 Nonhomogeneous Linear Systems 23

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9.7 Written Work 9.7 Written Work 16 25

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Course Modules

End of Class Survey

Orientation Module

Resources

Integration Review Material 1

Uploading Written Assignments 3

Graphers 5

Other 13

3rd Party Videos 19

Chapter 1: Introduction

1.1 Background 1

1.2 Solutions and Initial Value Problems 5

1.3 Direction Fields 9

1.4 The Approximation Method of Euler 13

Chapter 2: First-Order Differential Equations

2.1 Introduction - Motion of a Falling Body (No Homework) 1

2.2 Separable Equations 3

2.3 Linear Equations 7

2.4 Exact Equations 11

Chapter 3: Mathematical Models and Numerical Methods Involving First-Order Equations

3.2 Compartmental Analysis 1

Chapter4: Linear Second-Order Equations

4.1 Introduction: The Mass-Spring Oscillator 1

4.2 Homogenous Linear Equations: The General Solution 3

4.3 Auxiliary Equations with Complex Roots 6

4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients 10

4.5 The Superposition Principle and Undetermined Coefficients Revisited 14

4.6 Variation of Parameters 18

4.7 Variable-Coefficient Equations 22

4.8 Qualitative Considerations for Variable-Coefficient and Nonlinear Equations 26

4.9 A Closer Look at Free Mechanical Vibrations 30

4.10 A Closer Look at Forced Mechanical Vibrations 34

Chapter 5: Introduction to Systems and Phase Plane Analysis

5.1 Interconnected Fluid Tanks 1

5.2 Differential Operators and the Elimination Method for Systems 2

5.4 Introduction to the Phase Plane 7

Chapter 6: Theory of Higher-Order Linear Differential Equations

6.1 Basic Theory of Linear Differential Equations 1

6.2 Homogenous Linear Equations with Constant Coefficients 5

6.3 Undetermined Coefficients and the Annihilator Method 9

Chapter 7: Laplace Transforms

7.1 Introduction - A Mixing Problem 1

7.2 Definition of the Laplace Transform 3

7.3 Properties of the Laplace Transform 7

7.4 Inverse Laplace Transform 11

7.5 Solving Initial Value Problems 15

7.6 Transforms of Discontinuous Functions 19

7.7 Transforms of Periodic and Power Functions 23

Chapter 8: Series Solutions of Differential Equations

8.1: Introduction: The Taylor Polynomial Approximation 1

8.2 Power Series and Analytic Functions 3

8.3 Power Series Solutions to Linear Differential Equations 7

8.4 Equations with Analytic Coefficients 11

8.6 Method of Frobenius 15

Chapter 9 Matrix Method for Linear Systems

9.1 Introduction 1

9.2 Review 1: Linear Algebraic Equations 5

9.3 Review 2: Matrices and Vectors 9

9.4 Linear Systems in Normal Form 13

9.5 Homogeneous Linear Systems with Constant Coefficients 17

9.6 Complex Eigenvalues 20

9.7 Nonhomogeneous Linear Systems 23