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Week 10

6/4/2018

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Due Wednesday, June 6th:
  • Grade on the feedback you received
    • Feedback Grade Form with Instructions
  • PROJECT FINAL DRAFTS!

Due Wednesday, June 13th:

Textbook Exercises:

HW 16)
7.5 Periodic and Piecewise Continuous Input Functions: 1, 2, 3, 8, 10, 29, 31, 33
Hint for 29: Use theorem 2 with p=2pi/k and f(t)={sin(kt) for 0<=t<pi/k, 0 for pi/k<=t <2pi/k
At end, factor denominator (1-e^(-2pi*s/k))

HW 17)
7.6 Impulses and Delta Functions: 1, 5, 18, 22

In-Class Graded Worksheets:

Monday: GWS 16 - 7.5 Periodic and Piecewise Continuous Input Functions

Wednesday: GWS 17 - 7.6 Impulses and Delta Functions

  • Final Exam Review (Covers 1.1 - 7.6)
  • Final Exam Review Solutions
  • Group Project Interaction Scores
Lecture Problems:

Monday: LP 16 - 7.5 Periodic and Piecewise Continuous Input Functions

Wednesday: LP 17 - 7.6 Impulses and Delta Functions
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Week 9

5/30/2018

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Due Monday, June 4th:

Textbook Exercises:

HW 15)

7.2 Transformations of Initial Value Problems: 1, 3, 4, 7, 10, 19
7.3 Translation and Partial Fractions: 27, 28, 29

In-Class Graded Worksheets:

Wednesday: GWS 15 - 7.2 and 7.3 Transformations of Initial Value Differential Equations

Due Wednesday, June 6th:
  • Grade on the feedback you received
    • Feedback Grade Form with Instructions
  • PROJECT FINAL DRAFTS!
Lecture Problems:

Wednesday: LP 15 - 7.2 and 7.3 Transformations of Initial Value Differential Equations
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Week 8

5/21/2018

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NO CLASS ON MONDAY, MAY 28TH FOR MEMORIAL DAY!
Due Wednesday, May 23rd:
  • Grade on the feedback you received
    • Feedback Grade Form with Instructions
  • Second Draft of your project
  • Exam 2 Review (Covers 3.1 - 5.5)
  • Exam 2 Review Solutions

Due Wednesday, May 30th:

Feedback for other group's rough draft:
  • Feedback Instructions

Test Corrections: Please print, read, sign, attach, and follow the the test correction standards.
  • Test Correction Standards

Textbook Exercises:

HW 14)
7.1 Laplace Transformations and Inverse Transformations: 4, 7, 8, 13, 16, 18, 23, 26, 28, 29, 39, 40

In-Class Graded Worksheets:

Monday: GWS 14 - 7.1 Laplace Transformations and Inverse Transformations
               GWS 14 - 7.1 Laplace Transformations and Inverse Transformations Solutions

Lecture Problems:

Monday: LP 14 - 7.1 Laplace Transformations and Inverse Transformations
               LP 14 - 7.1 Laplace Transformations and Inverse Transformations Solutions

The warm-up activity we were going to do Monday is here if you'd like to get some extra practice. This is not a graded assignment since class was cancelled, more just for your benefit if you'd like to look it over.

WA 14 - 6.2 and 6.3 Stability and Predator/Prey Models
WA 14 - 6.2 and 6.3 Stability and Predator/Prey Models Solutions
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Week 7

5/14/2018

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Due Wednesday, May 16th:
  • Feedback for the Rough Draft you read. Put an alias instead of your name as the one giving feedback if you'd like anonymity! Make sure and let me know your alias if you opt to do this. See last week's post for instructions on giving feedback.

Due Monday, May 21st:

Textbook Exercises:

HW 12)

5.4 More with Springs: 1, 3, 5, 13
5.5 Multiple Eigenvalue Solutions: 1, 3, 5, 7
  • Maple Example of a Differential System Direction Field

HW 13)
6.2 Linear and Almost Linear Systems: 1, 3, 11, 13, 15
6.3 Ecological Systems, Predator/Prey Scenarios: 1, 2, 27, 29, 31

In-Class Graded Worksheets:

Monday: GWS 12 - 5.5 Multiple Eigenvalue Solutions

Wednesday: GWS 13 - 6.2 and 6.3 Phase Plane and Predator/Predator Prey

Due Wednesday, May 23rd:
  • Grade on the feedback you received
    • Feedback Grade Form with Instructions
  • Second Draft of your project
  • Exam 2 Review (Covers 3.1 - 5.5)
  • Exam 2 Review Solutions will be posted on Tuesday, May 22nd, around midday. If you would like any solutions before this, please email me and ask. If you finish the review early, please email me pictures of your completed work and I'll send you the solution packet.
Lecture Problems:

Monday: LP 12 - 5.5 Multiple Eigenvalue Solutions

Wednesday: LP 13 - 6.1 and 6.3 Phase Plane and Predator/Predator Prey
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Week 6

5/7/2018

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Due Wednesday, May 9th:
  • Very Rough First Drafts - JUST PUT YOUR GROUP NAME, NOT THE MEMBER NAMES AT THE TOP!

Due Monday, May 14th:

Textbook Exercises:

HW 10)
5.1 Matrices and Linear Systems: 13, 15, 22, 26, 31, 35

HW 11)
5.2 Eigenvalue Method for Homogeneous Systems: 3, 5, 6, 9, 10, 19, 42 (on 3 and 5, don't worry about graphing slope field. On 42, use Maple)
  • Eigenvalue and Eigenvectors in Maple Example

In-Class Graded Worksheets:

Monday: GWS 10 - 5.1 Matrices and Linear Systems

Wednesday: GWS 11 - 5.2 Eigenvalue Method for Homogeneous Systems

Due Wednesday, May 16th:

Feedback for other group's rough draft:
  • Feedback Instructions
Lecture Problems:

Monday: LP 10 - 5.1 Matrices and Linear Systems

Wednesday: LP 11 - 5.2 Eigenvalue Method for Homogeneous Systems
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Week 5

4/30/2018

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Due Wednesday, May 2nd:
  • Group Name (with member names) and Research Topic
  • Test Corrections (Standards posted last week)

Due Monday, May 7th:

Textbook Exercises:

HW 8)
3.6 Forced Oscillations and Resonance: 3, 5, 7, 9, 13, 26
3.7 Electrical Circuits: 7, 9, 10, 17, 19

HW 9)
4.1 First Order Systems: 1, 2, 6, 19, 20, 27
4.2 Elimination Method: 3, 4, 6, 31

Graded Worksheets:

Monday: GWS 8 - Forced Oscillations and Electrical Circuits

Wednesday: GWS 9 - First Order Systems and the Elimination Method


Due Wednesday, May 9th:
  • Very Rough Drafts
Lecture Problems:

Monday:
LP 8 - Forced Oscillations and Electrical Circuits

Wednesday: LP 9 - First Order Systems and the Elimination Method
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Week 4

4/23/2018

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Due Monday, April 30th:

Textbook Exercises:

HW 7)

3.4 Mechanical Vibrations: 15, 17, 18
3.5 Nonhomogeneous Equations: 3, 4, 9, 11, 13, 17, 31, 34, 37, 39

In-Class Graded Worksheets:

Monday: GWS 7 - 3.4 and 3.5 Vibes and Nonhomog Eqs

Wednesday: None. You have an exam!

Due Monday, May 7th:

Project First Drafts!
  • Group Project Instructions

Due Wednesday, May 2nd:
  • Test Corrections - Please print, read, sign, and follow the following standards for test corrections:
    • Test Correction Standards



Lecture Problems:

Monday: LP 7 - 3.4 and 3.5 Vibes and Nonhomog Eqs
               LP 7 - 3.4 and 3.5 Vibes and Nonhomog Eqs     
               Solutions


Wednesday: None. You have an exam!
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Week 3

4/16/2018

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I've added a page to LP 6 at the end which covers the complex number solutions to the characteristic equation of a 2nd-Order Homogeneous Equation. Click LP 6 - 3.1, 3.2, 3.3 Second Order Linear Equations (With Answers), below.
Also note, a couple more typos were pointed out to me on the review so those have been fixed and the file has again been updated as of Thursday afternoon.

Due Monday, April 23rd:

Textbook Exercises:


HW 5)
2.3 Acceleration and Velocity Models: 2, 9, 10
2.4 Euler's Method: 4, 7, 12 (4 and 7 by hand showing steps, 12 via maple just showing data table)
  • Euler's Method Maple Example

HW 6)
3.1 Introduction to Second Order Linear Equations: 2, 6, 24, 33, 34, 35, 40, 43
3.2 General Solutions to Linear Equations: 21, 22
3.3 Homogeneous Equations with Constant Coefficients: 2, 3, 5, 6, 7, 8, 9, 22, 27

In-Class Graded Worksheets:

Monday: GWS 5 - 2.3 and 2.4 Motion Models and Euler's Method

Wednesday: GWS 6 - 3.1, 3.2, and 3.3 Second Order Linear Equations

Due Wednesday, April 25th:
  • Exam 1 Review - Must be 100% Completed BEFORE the exam begins in order to be eligible for test corrections.
  • Exam 1 Review Solutions
Lecture Problems:

Monday: LP 5 - 2.3 and 2.4 Motion Models and Euler's Method (No Answers)
             LP 5 - 2.3 and 2.4 Motion Models and Euler's Method (With Answers)

Wednesday: LP 6 - 3.1, 3.2, and 3.3 Second Order Linear Equations (No Answers)
                  LP 6 - 3.1, 3.2, and 3.3 Second Order Linear Equations (With Answers)
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Week 2

4/9/2018

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Due Monday, April 16th:

Textbook Exercises:

HW 3)
1.5 Linear First-Order Equations: 12, 13, 18, 19, 23, 41
1.6 Substitution Method and Exact Equations: 6, 9, 10

HW 4)
2.1 Population Models: 1, 4, 7, 9, 10
2.2 Equilibrium Solutions and Stability: 2, 5, 7, 10

In-Class Graded Worksheets:

Monday: GWS 3 - 1.5 and 1.6 Linear First Order Equations and Substitution Method

Wednesday: GWS 4 - 2.1 and 2.2 Population Models and Equilibrium Solutions
Lecture Problems:

Monday: LP 3 - 1.5 and 1.6 Linear First Order Equations and Substitution Method with Solutions
               LP 3 - 1.5 and 1.6 Linear First Order Equations and Substitution Method without Solutions

Wednesday: LP 4 - 2.1 and 2.2 Population Models and Equilibrium Solutions with Solutions
                     LP 4 - 2.1 and 2.2 Population Models and Equilibrium Solutions without Solutions


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Week 1

3/28/2018

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Due Monday, April 9th:

Textbook Exercises:

HW 1)
1.1 Differential Equations and Mathematical Models: 3, 5, 11, 14, 17, 19, 20, 37, 41
1.2 Integrals as General and Particular Solutions: 2, 3, 6, 10, 13, 38

HW 2)
1.3 Slope Fields and Solutions Curves: 5, 6, 13, 14, 22, 24 (for 5, 6, and 24 use Maple)
  • Sample Direction Field in Maple
1.4 Separable Equations and Applications: 2, 3, 19, 21, 22

In-Class Graded Worksheets:

Monday: GWS 1 - 1.1 and 1.2 Diff. Eqns. and Integrals

Wednesday: GWS 2 - 1.3 and 1.4 Slope Fields and Separable Equations
Lecture Problems:

Monday: LP 1 - 1.1 and 1.2 Diff. Eqns. and Integrals

Wednesday: LP 2 - 1.3 and 1.4 Slope Fields and Separable Equations 
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    Course Documents
    • Syllabus
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