Welcome to the permanent home page for Section ES31 of MATH-2200 (Differential Equations) at Southeast Community College in the Spring term of 2022. I am Toby Bartels, the instructor.

Course administration

Contact information

Feel free to send a message at any time, even nights and weekends (although I'll be slower to respond then).


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. You automatically get an online version of this textbook through Canvas, although you can use a print version instead if you like.


  1. Introduction:
  2. Initial examples:
  3. Solution curves:
  4. First-order linear equations:
  5. Numerical solutions:
  6. Models:
Quiz 1, covering the material in Problem Sets 1–6, is on February 15 Tuesday.

Linear equations

  1. Higher-order equations:
  2. Reduction of order:
  3. Homogeneous equations:
  4. Undetermined coefficients:
  5. Variation of parameters:
  6. Cauchy–Euler equations:
  7. Applications of linear equations:
  8. Linear systems of equations:
Quiz 2, covering the material in Problem Sets 7–14, is on March 24 Thursday.

Laplace transforms

  1. The Laplace transform:
  2. Using the Laplace transform:
  3. Translations:
  4. Convolution:
  5. Integral equations:
  6. Delta functions:
  7. Systems of initial-value problems:
Quiz 3, covering the material in Problem Sets 15–21, is on April 21 Thursday.


  1. Basics:
  2. Linear equations:
  3. Laplace transforms:

Final exam

There is a comprehensive final exam on May 3 Tuesday, in our normal classroom at the normal time but lasting until 5:40 PM. (You can also arrange to take it at a different time from April 29 to May 5.) To speed up grading at the end of the term, the exam is multiple choice, with no partial credit.

For the exam, you may use one sheet of notes that you wrote yourself. 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 (except for the official syllabus) were written by Toby Bartels, last edited on 2022 May 2. Toby reserves no legal rights to them.

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