- (1/6) Welcome to math 302!
- (1/10) Use a graphing tool on homework problems marked with a "G". There are various Desmos and Geogebra tools you can find with a Google search, or you can use more sophisticated software like Python or MATLAB. With careful instruction ChatGPT can make very pretty slope fields (it uses Python).
- (1/12) Here is a scan of section 1.3.
- (1/22) For some reason a textbook was not requested for our course. I talked to the bookstore and they are ordering books that will probably arrive next week. In the meantime here are 2.1 2.2 2.3.
- (2/12) Here are the group exercises we did last week: exercises-1. I gave the file to DeepSeek and asked it to solve it, the strategy it picked for each is correct, but I didn't check its accuracy. As a reminder, use technology wisely.
- (2/18) You can use Desmos for complex curves! Here are some polar curves and spirals. Play around with the parameters \(a\) and \(b\).
Math 302
Introduction to Differential Equations - Spring 2025
Meetings: TR 10:30-11:45 Keller 303
Lecturer: Kenneth Corea kcorea@[math.]hawaii.edu
Office hours: MTWR 2-3 Keller 402E
Announcements
Written Assignments
| Week | Problem Set | Due |
|---|---|---|
| 1 | 1.3 #1-4, 5, 9, 10, 13, 16-18, 21 | 1/16 |
| 2 |
1.1 #1, 7, 10, 11-16 (draw a couple solution curves and
isoclines for problems 1, 7 and 10) 2.1 #3, 4, 7, 9, 11 |
1/23 |
| 3 |
2.2 #2, 4, 9, 12 2.3 #1, 9, 12, 14 |
1/30 |
| 4 |
2.2 #28, 31 2.5 #6-9, 19, 25 2.6 #2, 8, 19 |
2/6 |
| 5 |
2.7 # 1, 4, 10, 14 For this assignment do (1a) by hand! For every other problem and part follow the instructions exactly as stated in the textbook. Have WolframAlpha do Euler's method for you. Copy or screenshot the data WolramAlpha gives you, and clearly indicate where in that data is the answer to the question. |
2/13 |
| 6 |
4.1 #9, 10, 14(ab) Also answer these questions about complex numbers |
2/20 |
| 7 |
3.1 #3, 7 3.3 #5, 8 3.4 #2, 10 4.2 #9, 10, 11, 13, 21 You should be able to find the roots of polynomials from chapter 3 by factoring or by using the quadratic formula. Try your best to find the roots of the polynomials from 4.2 by hand, but if you get stuck go ahead and use WolframAlpha. Use a graphing tool for problems that ask you to graph the solution. Do not compute Wronskians. |
2/27 |
| 8 |
3.5 #1, 2, 4, 6 4.3 #7 |
3/6 |
Exams
Exam 1:
- Exam 1 is Thursday 2/27.
- The exam covers 1st order ODEs and linear \(n\)th order homogeneous constant coefficient ODEs; Chapter 1, 2, and sections 3.1-3.4, 4.1, 4.2
- You may bring a 3x5 index card with notes and a scientific calculator.