MATH 3200, Elementary Differential Equations (SPRING 2021)

Class Web Page



Course Syllabus

Welcome to Math 3200, Elementary Differential Equations, Spring 2021. Take a look at the course syllabus, and make sure you havge access to the course textbook.

This web site will be where you find

so check the site regularly.

Class will be over Zoom at 991-699-1928 at the specified times, starting January 19, 2021. The first videos and assignment will be posted soon.

  • Take a look at this quick video introduction.

    Chapter 1


  • Here is the first lecture video first lecture video on the difference between explicit and implicit solutions for ODE's.
  • Here is lecture #2 on the Euler method. I noticed that I wrote the exact solution to the example I did incorrectly on the white board, but correctly in the Matlab program. See if you can find my mistake!

  • Homework problems for Thursday 1/21 and Tuesday 1/26.

    Section 1.1 #13-17

    Section 1.2 #1-13, 20,21,22

    Here is the solution for problem 17 from section 1.1.

    And you can expect a quick quiz based on the homework first thing tomoorow (tuesday). This will help me guage how we're all doing.

  • Homework problems for Tuesday 2/2. (We will discuss some from section 1.3 on 1/28.)

    Section 1.3 #3,4

    Section 1.4 #1,2,12

  • If you want to use Matlab, you will find instructions here:

    https://www.ucdenver.edu/offices/office-of-information-technology/software/how-do-i-use/matlab

    Chapter 2


  • Here is Lecture 3 on first order linear ODE's.
  • Here is Lecture 4 on exact equations.

    Note: Everybody in this course has been through the Calculus sequence, so you have learned how to integrate, i.e., find anti-derivatives of functions. We all know how unpleasant this can be, so in this course it is ok (in fact incouraged) to use a table of integrals, or software like "derive" to calculate integrals. From now on, you can think of using calculus to solve a problem the same way you think of using algebraic techniques.

  • Homework problems for February 2 and 4.

    Section 2.2 # 1-6, 17-22, 27, 28

    Section 2.3 # 1-6, 7-10, 17-20, 25, 28, 29

  • Homework problems for February 9 and 11.

    Section 2.4 #1-5, 9-13, 21-24, 32

  • Homework problems for February 16

    Section 2.5 #1-4, 13,14

    Section 2.6 #9-12, 21-24

    Here is a solution for Quiz #3.

    Chapter 3


  • Here is Lecture 5 on improved Euler's method
  • Homework problems for February 23 and 25

    Section 3.2 #6,7

    Section 3.3 #1,2,15

  • Homework problems for March 2 and 4

    Section 3.4 #1, 25a,b,c,d

    Section 3.6 #1,2,18

    Here's an exercise for the numerical techniques: y' = 1-xy, y(1)=1. Approximate Y(2) using Euler, Improved Euler, and Runge-Kutta with step size h=1.

    Chapter 4


  • Read over section 4.1 to get an idea of what we will be getting to in this chapter.
  • Homework problems for March 9

    Section 4.2 #1-4, 13-16, 21

  • Here's the midterm exam due March 12 before midnight.
  • And here are solutions for the exam.
  • Homework problems for March 18

    Section 4.3 #21-24, 28,29

  • Homework problems for March 23 and 25

    Section 4.4 # 1-8 (no work needed on these), 9-16

    Section 4.5 #1,2,3-6, 17-20

    Section 4.6 #3,4,7,9,10

  • I just noticed that our syllabus isn't quite right for what we are going to do in chapters 4 and 5, so I made a few little changes.
  • We will start sections 4.9 and 4.10 on spring dynamics next week.
  • Here is Lecture 6 on the reduction of order method.
  • Homework problems on spring-mass systems, due tuesday, April6

    Section 4.9 #3,5,13

    Section 4.10 #3,7

  • And here is Lecture 7 on spring-mass systems with external forces (including the phenomenon of resonance).

  • The rest of the semester will be devoted to systems of ode's, in particular, sections 5.2, 5.4, and 9.4-9.8. If there's time we can go back and cover section 5.3 on numerical solutions for systems of ode's.

    Chapter 5


  • Homework problems for April 8 and 13.

    section 5.2 #34

    section 5.4 #1,2,3,4,7,8,10

    Chapter 9


  • Homework for April 27 and 29

    Read section 9.1-9.4. This should be mostly a review of what you learned in your Linear Algebra course, but the idea of a matric of functions might be new.

    Section 9.5 #1-4, 11-14

    Section 9.6 #1-4, 5-8

  • Homework for May 4

    Section 9.7 #1-4

    Look at section 9.8 on matrix exponentials.

    Final Exam

  • Here is the Final Exam due tomorrow night before midnight. Email me if you have questions. Good luck!
  • And here are Solutions. I hope everybody enjoyed the course and learned some useful mathematics!