Differential Equations
Math 244, Fall 2020

Textbook

Same book as last semester. There are a couple of different versions of the 9th edition (see below).

Elementary Differential Equations and Boundary Value Problems, by William Boyce and Richard DiPrima (9th Edition)

TEXT NOTE: This is NOT the current version, which is the 11th edition. There are a couple of different versions of the text; here are the links to Amazon.com for the information:
With Boundary Value Problems
The text without Boundary Value Problems
There also is an optional Student Solution Manual Available (typically, these have more detailed solutions to odd numbered problems)
We'll generally be covering topics from Chapters 1-7 except Chapter 4. Also, topics from Chapter 7, 9 as time permits.

Beginning Material

Links by Day

Links for Weeks 1 to 7
Week 8
- Mon, Oct 12: "Live review day". Nothing new is assigned.
- Wed, Oct 14: Exam day today/Thursday.
- Fri, Oct 16: Today we start Chapter 6, The Laplace Transform. We'll start 6.1 today and finish it on Monday, then start 6.2 on Monday as well.
  - The video mentions a table of transforms. This is available in Section 6.2, pg 317. You might take a photo and convert it to a PDF for yourself to make it convenient when you're working on HW.
  - Section 6.1, part 1
  - Section 6.1, part 2
  - Overhead slides for the previous two videos
  - Section 6.1, Examples part 1
  - Notes
  - Section 6.1, Examples part 2
  - Notes
  - Homework for 6.1 (Due Tue, Oct 20): 1, 3, 4*, 15, 5(a), 22.
Week 9
- Mon, Oct 19:
  - Section 6.2 Solving DEs
  - Notes from the Video
  - Section 6.2 - Examples
  - Notes from the Video
  - Homework for 6.2 (Due Thur, Oct 22): 1, 3, 5, 10*, 13, 15, 20, 21*
- Wed, Oct 21: Sections 6.3 and 6.4 (The Heaviside Function).
  Sections 6.3 and 6.4 really go together, so I'll put all the videos here. We'll take all day today and Friday will be nothing new, so you can finish this material up.
  - Section 6.3 - Heaviside Section 6.3-4 - Examples, part 1
  - Section 6.3-4 - Examples, part 2
  - Section 6.3-4 - Examples, part 3
  - Section 6.3-4 - Examples, part 4
  - Homework for 6.3: 1, 5, 7, 21, 23*, 33
  - Homework for 6.4: 1(a), 3(a), 8(a)*, 15, 21(b)*
  - Homework for 6.3-6.4 will be due on Tuesday.
- Fri, Oct 23: Nothing new today. Finish up Section 6.4!
Week 10:
- Mon, Oct 26: Another new function- The Dirac Delta Function (Section 6.5).
  - Section 6.5 Dirac
  - Section 6.5 Examples
  - Homework for 6.5: 1(a), 3(a)*, 14(a)-just solve, 17(b), 18(b)*. HW due on Thursday Oct 29.
- Wed, Oct 28: Section 6.6: The Convolution (The last section of Chapter 6!)
  - Section 6.6 Convolution
  - Section 6.6 Examples
  - Homework for 6.6: 5, 6*, 9, 10*, 17, 23, 24*. Homework due on Tuesday, Nov 3.
- Fri, Oct 30: Review Chapter 6. Next week we'll be doing something completely different.
Week 11 (Elements of Chapter 5)
- Mon, Nov 2: Section 5.1
  - Review of Series, Power Series, Radius of Convergence (About 26 minutes- sorry!)
  - Review of Taylor Series (About 18 minutes)
  - Algebra on the index of summation (About 13 minutes)
  - Homework Section 5.1: 1, 2, 4*, 6, 10, 12, 14, 16*, 21, 22, 27*. Due Thur, Nov 5.
- Wed, Nov 4: Section 5.2
  - Power series solutions, idea and example
  - Power series solutions, solve using derivatives
  - Power series solutions, find recurrence relation (example)
  - Homework, Section 5.2, p. 259. We'll only be finding the recurrence relation for each problem: 1, 3, 5, 8. Use "the derivative method" to determine the first five terms of the Taylor series for each IVP: p. 265- 1, 2, 3.
- Fri, Nov 6: Review
Week 12
- Mon, Nov 9: Review day.
- Wed, Nov 11: Exam on Wed/Thu
- Fri, Nov 13: Introduction to Systems (Takes the place of Section 7.1-7.2)
  - Notes (in PDF) for today
  - Video notes 1 of 2
  - Video notes 2 of 2
  - Homework Handout. Do all the problems, but turn in 1(a), 3(a), and 6. Due on Tuesday Nov 16.
Week 13
- Mon, Nov 16: Continuing Linear Systems (Notes below).
  - Notes for this material (in PDF), also with homework on the last page
  - Video discussion 1 of 2
  - Video discussion 2 of 2
  - Homework: Try all of the problems on the handout; turn in #1, 2, 4 for Thursday.
- Wed, Nov 18: Day 3, Linear Systems (Notes below).
- Fri, Nov 20: Last day, Linear Systems.
Week 14
- Mon, Nov 23 (Review Day). See the links below under "Final Exam".
Week 15: Finals Week.

Exam Links

Exam 1
- Notes about the exam (sent earlier by email)
- Link to the online calculator (if you need one for the exam).
- Please take the sample exam on Canvas sometime to get used to the format.
- Summary of the material for the first exam
- Review questions
- Review solutions
- Video Review 1 An overview of the class so far.
- Video Review 2 An overview of graphical analysis.
Exam 2
- (Review video removed- it was supposed to be only temporarily posted).
- Summary of topics for Exam 2 (Chapter 3)
- Review questions for Exam 2
- Solutions to the review questions.
Exam 3
- Summary of topics for Exam 3
- Exam 3 Review Questions (Updated Mon Nov 9 to include the radius of convergence problems at the end).
- Exam 3 Review Solutions
- Exam 3 Review, Part 1
- Exam 3 Review, Part 2
- Exam 3 Review, Part 3
- Exam 3 Review, Part 4
Final Exam
- The final will be comprehensive, you'll have three hours (and 10 minutes for file uploading) to complete it, and it will be available on Wed, Thur and Fri of Finals Week.
- Summary of Solving a Linear System
- Review material for the final
- Solutions to the review

Online Links

An online direction field plotter. You'll need it for 1.1, and in general for plotting the direction fields for first order DEs.

How Will I Upload Materials to Canvas?

There are several apps for cell phones to convert images of your work to PDF, which you can then upload to Canvas. Below, Prof. Schueller demonstrates one such app, Adobe Scan. Unfortunately, you will be asked to set up an account, but otherwise it seems like a good app (if you want to use other apps, that's fine, too- but please upload files as PDF).

Differential EquationsMath 244, Fall 2020