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Final Exam Review Solutions

3/16/2020

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  • Final Exam Review Solutions! Click Here!
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Week 10

3/10/2020

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Final Exam is Tuesday, March 17th, at 5:30pm
​The final exam is going to be emailed to you on Tuesday at 5:30pm. Please follow these guidelines for submitting this final exam:

Make sure to check your spam/promotions/social folder if you don't see the exam in your inbox at 5:30pm on Tuesday!

1)    a. If you have a printer, you may print it and do the exam in its normal format.
       b. If you don't have a printer, do the problems on your own paper.
              i. Please do one problem per page to keep it easy for me to follow your work. Keep it neat and organized!

2) Take pictures of your completed exam, crop them, and compile the pictures into a PDF file. There are "scanner" apps for your phone that will do this for you. 
      a. Make sure to do a trial run of this before taking the exam!
      b. If you have any concerns regarding your access to technology, please email me ASAP so I can find an                            accommodation for you.

3) The exam is to be completed by 7:20pm. Email me the PDF of your completed final exam by 7:40pm. The extra time is for you to be able to get it properly scanned and emailed to me.

4) On the exam you are allowed:
      a. A graphing calculator.
      b. Any provided formulas will be provided in the exam.

5) You are to treat this as an in-class exam. No notes, no book, no internet, no outside help of any kind.

6) Submit any and all remaining assignments as separate PDF files. Let each of the following be its own PDF:
      a. Final Exam
      b. Final Exam Review
      c. Book Homework
      d. Formal Written Homework

7) If you have any concerns regarding timing, space, access to technology, etc. please email me ASAP with an individual email so I can provide accommodations for your specific needs.

8)  Is there anything else I'm forgetting that you think I need to address? Please let me know in a private email.

9) Please be patient and understanding. This is obviously not anyone's optimal situation but let's make the best of it :)

It really has been a wonderful term with all of you! Thank you so much for being such an awesome class and all of the time and dedication you've put into this beautiful subject!
Due Tuesday, March 17th:

Textbook Exercises:

Lesson 25 - Delta Functions and Impulse Forcing
6.4: 1, 3, 5, 7, 9

Formal Written Homework:
  • FWH 10 - Delta Dirac Functions

Final Exam Review:
  • Final Exam Review - Is due 100% complete BEFORE the final begins, in order to drop the final exam requirement of 70% down to 60% in order to pass the class. No matter what your final exam score, you must have a 70% or higher overall in the class to pass.
  • Final Exam Review Solutions - will be posted on Monday, March 16th, at 2pm. If you would like help with any problem before that please just email and ask!
Lessons:
  • ​Lesson 25 - Delta Functions and Impulse Forcing
    • Solutions​
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Week 9

3/3/2020

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Please Complete a Course Evaluation! Click Here
Due Tuesday, March 10th

Textbook Exercises:

Lesson 22 - Laplace Transforms Introduction
6.1: 1, 3, 5, 6, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27

Lesson 23 - Laplace Transforms on Discontinuous Functions
6.2: 1, 3, 5, 7, 9, 11, 13, 15, 17​

Lesson 24 - 2nd-Order ODEs and Laplace Transforms
6.3: 7, 9, 15, 17, 27, 29, 31, 33​

Formal Written Homework:
  • FWH 9 - Laplace Transforms
​
Exam 2 Corrections:
  • ​You are REQUIRED to PRINT, read, sign, follow, and ATTACH the following document:
    • Exam 2 Test Correction Standards

Due Tuesday, March 17th:
  • Final Exam Review - Is due 100% complete BEFORE the final begins, in order to drop the final exam requirement of 70% down to 60% in order to pass the class. No matter what your final exam score, you must have a 70% or higher overall in the class to pass.
  • Final Exam Review Solutions - will be posted on Monday, March 16th, at 2pm. If you would like help with any problem before that please just email and ask!
Lesson:
  • Lesson 22 - Laplace Transforms Introduction
    • Solutions
  • Lesson 23 - Laplace Transforms on Discontinuous Functions
    • Solutions
  • Lesson 24 - 2nd-Order ODEs and Laplace Transforms
    • Solutions
    • Link to Geogebra Graphs: 
      • https://www.geogebra.org/graphing/bmszpcbj
      • https://www.geogebra.org/graphing/ktycntwx
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Exam 2 Review Solutions

2/26/2020

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  • Exam 2 Review Solutions! Click Here!
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Week 8

2/25/2020

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Due Thursday, February 27th:
  • Exam 2 Review - Is due 100% complete BEFORE the exam begins in order to be eligible to submit test corrections. 
  • Exam 2 Review Solutions - will be posted on Wednesday, February 26th, at 2pm. If you would like help with any problem before that please just email and ask!

​Due Tuesday, March 3rd:

Textbook Exercises:

Lesson 20 - Fixed Point Analysis:
5.1: 1, 3, 7, 11, 15, 17
Extra Credit: 5.1: 18 (5 pts)

Lesson 21 - Species Interactions:
5.1: 6, 27, 28

Formal Written Homework:
  • FWH 8 - Non-Linear System Analysis
Lessons:
  • Lesson 20 - Fixed Point Analysis
    • Solutions
  • Lesson 21 - Species Interactions
    • Solutions
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Week 7

2/18/2020

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Due Tuesday, February 25th:

Textbook Homework:

Lesson 17 - Forced Harmonic Oscillators
4.1: 1, 5, 11, 15, 31, 33, 39, 41

Lesson 18 - Sinusoidal Forcing
4.2: 3, 7, 13, 17, 18

Lesson 19 - Undamped Forcing and Resonance
4.3: 1, 5, 9, 11, 15, 17, 21​

Formal Written Homework:
  • FWH 7 - Forced Harmonic Oscillators

Due Thursday, February 27th:
  • Exam 2 Review - Is due 100% complete BEFORE the exam begins in order to be eligible to submit test corrections. 
  • Exam 2 Review Solutions - will be posted on Wednesday, February 26th, at 2pm. If you would like help with any problem before that please just email and ask!
Lessons:
  • ​Lesson 17 - Forced Harmonic Oscillators
    • Solutions
  • Lesson 18 - Sinusoidal Forcing
    • Solutions
  • Lesson 19 - Undamped Forcing and Resonance
    • Solutions
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Week 6

2/11/2020

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Due Tuesday, February 18th:

Textbook Homework:

Lesson 14 - Three Dimensional Linear Systems
3.8: 5, 7, 11, 15, 17, 19, 20, 21

Lesson 15 - Second Order ODEs as Systems
3.6: 1, 3, 5, 7, 9, 11

Lesson 16 - Unforced Harmonic Oscillators
3.6: 13, 17, 19, 21, 25, 27
3.4: 22, 23​​

Formal Written Homework:
  • FWH 6 - 3D Linear Systems, 2nd-Order ODEs, and Harmonic Oscillators

Due Thursday, February 27th:
  • Exam 2 Review - Is due 100% complete BEFORE the exam begins in order to be eligible to submit test corrections. 
  • Exam 2 Review Solutions - will be posted on Wednesday, February 26th, at 2pm. If you would like help with any problem before that please just email and ask!
Lessons:
  • Lesson 14 - Three Dimensional Linear Systems
    • Solutions
  • Lesson 15 - Second Order ODEs as Systems
    • Solutions
  • Lesson 16 - Unforced Harmonic Oscillators
    • Solutions
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Week 5

2/4/2020

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Due Tuesday, February 11th:

Textbook Homework:

Lesson 10 - Real Eigenvalues
3.3: 1, 3, 5, 9, 11, 19

Lesson 11 - Complex Eigenvalues 1
3.4: 1, 3, 5, 7 (on 3, 5, 7: skip part (c) )

Lesson 12 - Complex Eigenvalues 2
3.4: 9, 11, 13

Lesson 13 - Repeated and Zero Eigenvalues
​3.5: 1, 3, 5, 7, 17, 19, 21, 23​

Formal Written Homework:
  • FWH 5 - Zero, Repeated, and Complex Eigenvalues

Exam 2 Corrections:
  • You are REQUIRED to PRINT, read, sign, follow, and ATTACH the following document:
    • Exam 1 Test Correction Standards
Lessons:
  • Lesson 10 - Real Eigenvalues
    • Solutions
  • Lesson 11 - Complex Eigenvalues 1
    • Solutions
  • Lesson 12 - Complex Eigenvalues 2
    • Solutions
  • Lesson 13 - Repeated and Zero Eigenvalues
    • Solutions
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Exam 1 Review Solutions

1/29/2020

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  • Exam 1 Review Solutions! Click Here!
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Week 4

1/28/2020

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Due Thursday, January 30th:
  • Exam 1 Review - Is due 100% complete BEFORE the exam begins in order to be eligible to submit test corrections. 
  • Exam 1 Review Solutions - will be posted on Wednesday, January 29th at 2pm. If you would like help with any problem before that please just email and ask! If you finish the review early and would like to check your answers, email me pictures of your completed work and I'll send you the solution packet.

Due Tuesday, February 4th:

Textbook Homework:

Lesson 9 - Introduction to Eigenspaces
3.2: 1, 3, 5, 7, 11, 13, 15, 16, 17

Formal Written Homework:
  • FWH 4 - Intro to Eigenspaces in Phase Planes
Lessons:
  • Lesson 9 - Introduction to Eigenspaces
    • Solutions​
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