# MATH-2200-ES31

Welcome to the permanent home page for Section ES31 of MATH-2200 (Differential Equations) at Southeast Community College in the Spring term of 2021. I am Toby Bartels, the instructor.

• Course policies (TBA).
• Class hours: Tuesdays and Thursdays from 11:00 to 12:20 in ESQ 109C.
• Face-to-face class Zoom meeting: 967-8392-3310.
• Final exam time: May 6 Thursday from 11:00 to 12:40 in ESQ 109C or by appointment over Zoom.

## Contact information

The official textbook for the course is the 11th Edition of A First Course in Differential Equations with Modeling Applications by Dennis Zill published by Cengage.

### Basics

1. Introduction:
• Reading from the textbook for January 14 Thursday: Chapter 1 through Section 1.1 (pages 2–12).
• Exercises from the textbook due on January 19 Tuesday: 1.1.1–8, 1.1.9, 1.1.11, 1.1.13, 1.1.15, 1.1.17, 1.1.21, 1.1.23, 1.1.24, 1.1.29, 1.1.41.
2. Initial examples:
• Reading from the textbook for January 19 Tuesday:
• Section 1.2 (pages 15–19);
• Section 1.3 (pages 22–29).
• Exercises from the textbook due on January 21 Thursday: 1.2.1, 1.2.3, 1.2.5, 1.2.7, 1.2.8, 1.2.11, 1.2.12, 1.2.17, 1.2.19, 1.2.21, 1.2.23, 1.3.1, 1.3.2, 1.3.5, 1.3.9, 1.3.10, 1.3.13, 1.3.17.
3. Solution curves:
• Reading from the textbook for January 21 Thursday:
• Chapter 2 through Section 2.1 (pages 36–43);
• Section 2.2 (pages 47–52).
• Exercises from the textbook due on January 28 Thursday: 2.1.2, 2.1.15.a, 2.1.19, 2.1.20, 2.1.21, 2.1.22, 2.1.23, 2.1.24, 2.1.25, 2.1.26, 2.2.1, 2.2.3, 2.2.5, 2.2.7, 2.2.9, 2.2.23, 2.2.24, 2.2.25, 2.2.29, 2.2.31, 2.2.32, 2.2.33, 2.2.39, 2.2.41, 2.2.45.
4. First-order linear equations:
• Reading from the textbook for January 28 Thursday: Section 2.3 (pages 55–62).
• Exercises from the textbook due on February 2 Tuesday: 2.3.1, 2.3.3, 2.3.5, 2.3.7, 2.3.9, 2.3.11, 2.3.13, 2.3.17, 2.3.24, 2.3.25, 2.3.27, 2.3.37, 2.3.38.
5. Numerical solutions:
• Reading from the textbook for February 2 Tuesday: Section 2.6 (pages 76–80).
• Exercises from the textbook due on February 4 Thursday: 2.6.1, 2.6.3, 2.6.5, 2.6.6.
6. Models:
• Reading from the textbook for February 4 Thursday:
• Chapter 3 through Section 3.1 (pages 80–91);
• Section 3.2 (pages 96–101).
• Exercises from the textbook due on February 9 Tuesday: 3.1.1, 3.1.4, 3.1.5, 3.1.13, 3.1.15, 3.1.19, 3.1.21, 3.1.23, 3.1.27, 3.1.35, 3.1.38, 3.2.1, 3.2.3, 3.2.5.
Quiz 1, covering the material in Problem Sets 1–6, is on February 18 Thursday.

### Linear equations

1. Higher-order equations:
• Reading from the textbook for February 9 Tuesday: Chapter 4 through Section 4.1 (pages 118–130).
• Exercises from the textbook due on February 11 Thursday: 4.1.1, 4.1.2, 4.1.3, 4.1.9, 4.1.10, 4.1.15, 4.1.16, 4.1.17, 4.1.19, 4.1.21, 4.1.23, 4.1.24, 4.1.25, 4.1.26, 4.1.27, 4.1.31, 4.1.32, 4.1.33.
2. Reduction of order:
• Reading from the textbook for February 11 Thursday: Section 4.2 (pages 132–134).
• Exercises from the textbook due on February 23 Tuesday: 4.2.1, 4.2.3, 4.2.5, 4.2.9, 4.2.11, 4.2.14, 4.2.16, 4.2.21, 4.2.22.
3. Homogeneous equations:
• Reading from the textbook for February 23 Tuesday: Section 4.3 (pages 135–140).
• Exercises from the textbook due on February 25 Thursday: 4.3.1, 4.3.2, 4.3.3, 4.3.4, 4.3.5, 4.3.6, 4.3.13, 4.3.15, 4.3.16, 4.3.17, 4.3.18, 4.3.25, 4.3.26, 4.3.29, 4.3.31, 4.3.34, 4.3.37, 4.3.38.
4. Undetermined coefficients:
• Reading from the textbook for February 25 Thursday: Section 4.5 (pages 152–158).
• Exercises from the textbook due on March 2 Tuesday: 4.5.1, 4.5.3, 4.5.5, 4.5.6, 4.5.7, 4.5.11, 4.5.12, 4.5.13, 4.5.15, 4.5.16, 4.5.17, 4.5.18, 4.5.19, 4.5.20, 4.5.21, 4.5.30, 4.5.31, 4.5.32, 4.5.33, 4.5.39, 4.5.43, 4.5.47, 4.5.55, 4.5.64, 4.5.68.
5. Variation of parameters:
• Reading from the textbook for March 2 Tuesday: Section 4.6 (pages 159–165).
• Exercises from the textbook due on March 4 Thursday: 4.6.1, 4.6.2, 4.6.3, 4.6.6, 4.6.7, 4.6.11, 4.6.13, 4.6.15, 4.6.17.
6. Cauchy–Euler equations:
• Reading from the textbook for March 4 Thursday: Section 4.7 (pages 166–171).
• Exercises from the textbook due on March 9 Tuesday: 4.7.1, 4.7.3, 4.7.5, 4.7.7, 4.7.9, 4.7.11, 4.7.19, 4.7.23, 4.7.25, 4.7.27.
7. Applications:
• Reading from the textbook for March 9 Tuesday: Chapter 5 through Section 5.1 (pages 196–209)
• Exercises from the textbook due on March 11 Thursday: 5.1.1, 5.1.3, 5.1.8, 5.1.13, 5.1.25, 5.1.26, 5.1.29, 5.1.33, 5.1.34, 5.1.35.
Quiz 2, covering the material in Problem Sets 7–13, is on February 23 Tuesday.

### The Laplace transform

1. The Laplace transform:
• Reading from the textbook for March 11 Thursday: Chapter 7 through Section 7.1 (pages 278–284)
• Exercises from the textbook due on March 25 Thursday: 7.1.11, 7.1.13, 7.1.15, 7.1.17, 7.1.19, 7.1.21, 7.1.23, 7.1.25, 7.1.27, 7.1.29, 7.1.31, 7.1.33, 7.1.43, 7.1.44.
2. Using the Laplace transform:
• Reading from the textbook for March 23 Tuesday: Section 7.2 (pages 286–293).
• Exercises from the textbook due on March 30 Tuesday: 7.2.1, 7.2.2, 7.2.3, 7.2.4, 7.2.5, 7.2.7, 7.2.9, 7.2.11, 7.2.13, 7.2.15, 7.2.16, 7.2.19, 7.2.20, 7.2.23, 7.2.35, 7.2.36, 7.2.37, 7.2.38, 7.2.39.
3. Translations:
• Reading from the textbook for March 30 Tuesday: Section 7.3 (pages 294–302).
• Exercises from the textbook due on April 1 Thursday: 7.3.1, 7.3.2, 7.3.3, 7.3.4, 7.3.5, 7.3.6, 7.3.7, 7.3.8, 7.3.11, 7.3.13, 7.3.14, 7.3.15, 7.3.17, 7.3.21, 7.3.23, 7.3.25, 7.3.27.
4. Convolution:
• Reading from the textbook for April 1 Thursday: Section 7.4 before the optional postscript about Green's functions in Subsection 7.4.2 (pages 306–312).
• Exercises from the textbook due on April 6 Tuesday: 7.4.1, 7.4.3, 7.4.5, 7.4.8, 7.4.11, 7.4.13, 7.4.14, 7.4.19, 7.4.20, 7.4.21, 7.4.23, 7.4.25, 7.4.27, 7.4.28, 7.4.29, 7.4.30.
5. Integral equations:
• Reading from the textbook for April 6 Tuesday: The remaining subsections of Section 7.4 (pages 313–315).
• Exercises from the textbook due on April 8 Thursday: 7.4.41, 7.4.43, 7.4.45, 7.4.47, 7.4.49.
6. Systems of equations:
• Reading from the textbook for April 8 Thursday: Section 7.6 (pages 322–325).
• Exercises from the textbook due on April 13 Tuesday: 7.6.1, 7.6.3, 7.6.5, 7.6.7, 7.6.9.
7. Linear systems of equations:
• Reading from the textbook for April 13 Tuesday: Chapter 8 through Section 8.1 (pages 332–339).
• Exercises from the textbook due on April 15 Thursday: 8.1.1, 8.1.2, 8.1.7, 8.1.11, 8.1.12, 8.1.13, 8.1.14.
8. Solving systems of equations:
• Reading from the textbook for April 20 Tuesday: Section 8.2 (pages 340–352).
• Exercises from the textbook due on April 22 Thursday: 8.2.1, 8.2.2, 8.2.5, 8.2.6, 8.2.21, 8.2.22, 8.2.23, 8.2.24, 8.2.31, 8.2.35, 8.2.36, 8.2.37, 8.2.38, 8.2.39, 8.2.40.
Quiz 3, covering the material in Problem Sets 14–21, is on April 27 Tuesday.

## Quizzes

1. Basics:
• Review date: February 11 Thursday.
• Date taken: February 18 Thursday.
• Corresponding problems sets: 1–6.
• Help allowed: Your notes, calculator.
• NOT allowed: Textbook, my notes, other people, websites, etc.
2. Linear equations:
• Review date: March 11 Thursday.
• Date taken: March 23 Tuesday.
• Corresponding problems sets: 7–13.
• Help allowed: Your notes, calculator.
• NOT allowed: Textbook, my notes, other people, websites, etc.
3. The Laplace transform:
• Review date: April 22 Thursday.
• Date taken: April 27 Tuesday.
• Corresponding problems sets: 14–21.
• Help allowed: Your notes, calculator, Appendix C on pages APP-29–31 of the textbook.
• NOT allowed: Textbook, my notes, other people, websites, etc.

## Final exam

The comprehensive final exam is on May 6 Thursday, in our normal classroom at the normal time but lasting until 12:40. (You can also arrange to take it at a different time from April 30 to May 6.) To speed up grading at the end of the term, the exam will be multiple choice, with no partial credit.

For the exam, you may use one sheet of notes that you wrote yourself; please take a scan or a picture of this (both sides) and submit it on Canvas. However, you may not use your book or anything else not written by you. You certainly should not talk to other people! Calculators are allowed, although you shouldn't really need one, but not communication devices (like cell phones).

The exam consists of questions similar in style and content to those in the practice final exam (DjVu).

This web page and the files linked from it were written by Toby Bartels, last edited on 2021 August 27. Toby reserves no legal rights to them.

The permanent URI of this web page is `https://tobybartels.name/MATH-2200/2021SP/`.