## Math 3430, Ordinary Differential Equations

## Semester 1, 2021-2022

**Course Lecturer **
#### Dr. Judith Packer, Dept. of Mathematics

*Tel: (303) 492-6979*

Office: Math 227

Email: packer@colorado.edu

URL: http://math.colorado.edu/~packer

**Course Syllabus: For course syllabus, click here! Please abide by the University Mask mandate in lectures. **

**Course Information:**

This course is meant to familiarize the student with the elements of the theory of ordinary differential equations.
It gives an elementary systematic introduction to first-order scalar differential equations,
nth-order linear differential equations, and n-dimensional linear systems of first-order differential equations.
Additional topics are chosen from equations with regular singular points, Laplace transforms, phase plane techniques,
basic existence and uniqueness, and numerical solutions.

**Prerequisite:**

Similar to APPM 2360.

**Course Text:**

We will use the text "Differential Equations and their Applications", Fourth Edition,
Martin Braun, Springer, 1993. We will cover most of Chapters 1 through 4 of the text.

**Assessment:**
- Homework Assignments (every week): 20 %
- Friday worksheets (every Friday, last 10-15 minutes of class): 5 %
- In-class mid-term exam - Wednesday, September 29, 12:40 p.m.- 1:35 p.m., in class: 22.5 %
- Previous Midterm 1: For a sample Midterm 1 from several years ago, go to the class Canvas page.
- In-class mid-term exam - Wednesday, November 3, 12:40 p.m. - 1:35 p.m., in class: 22.5 %
- For a sample Midterm 2 from several years ago, go to the class Canvas page.
- In-class final exam, Saturday, December 11, 4:30 p.m. -- 7:00 p.m. : 30 % .
- Previous final exam: for a sample final exam from several years ago, go to the class Canvas page.

**Lecture Hours and Venue: **

MWF 12:40 p.m.- 1:30 p.m. CLRE 104.

**Office Hours: **

10:30 a.m. - 11:30 a.m., by ZOOM or in Math 227 MWF, or by appointment on ZOOM.

** Homework(Subject to change): **

- Due Wednesday, Sept. 1: pp. 9-10 - # 1, 3, 7, 8, 13, 16; pp. 24-25 - # 1, 2, 3, 6, 7, 10.
- Due Friday, September 10: pp. 24-25 - # 13, 14(a), (c), (e), (h), 15, 17; p. 66-67 - # 3, 4, 6, 7, 9, 11, 12, 15.
- Due Friday, September 17 : pp. 80-81 - # 2, #3, #5, #8, # 17; p. 100 - #1, #3, #4, #5.
- Due Friday, September 25: pp. 136-137 - # 1 (a),(b),(c), 2 (b),(d),(f), 3, 7 (a),(c),(f), 13, 15; pp. 140 - # 1, 3, 4, 5, 10, 11.
- Due Friday, October 8: p. 144: # 3, 4, 5, 9, 10; pp. 149-150: #2, 3, 5, 6, 7, 11, 12, 14, 15, 18, 19; p. 153: #2, 3.
- Due Friday, October 15: pp. 156-157: 7, 9; p. 164: #2, 4, 5, 7, 11, 13; pp. 197: 3, 4, 6.
- Due Friday, October 22: ; pp. 197-198: 3, 4, 6, 7, 9(a),(b), 11(a); pp. 232-233: #2, 3, 4, 9.
- Due Friday, October 29: pp. 232-233: #1518, 19; p. 237-238: # 1, 3, 4, 7(a), (c), 11, 13, 22.
- Due Friday, November 12: pp. 243: # 3, 4, 7; p. 271: #1,3, 4, 7; pp. 296-297: # 1, 3, 6, 7.
- Due Friday, November 19: pp. 340-341: # 1, 3, 5, 7, 9, 12, 13; p. 344: # 1,3, 6.
- Due Wednesday, December 1: p. 344: #7, 9; pp. 352-353: # 1, 3, 5, 6, 7, 10.
- Due Wednesday, December 8: pp. 359-360: # 1, 3, 4, 7, 9; pp. 366-367: # 1, 3, 5 , 8; pp. 370: 1, 3.

**Some Important Names associated with Differential Equations :**

Back to the home page of Judith A. Packer

Last modified August 23, 2021.