Check this page often for updates. In particular, you'll find new homework assignments here, and you can see a very brief summary of what's going on in class.
I highly recommend that you do the reading and attempt the homework before class time on the given date!
For problems from Polking, Boggess and Arnold, do all computations by hand unless you are instructed to use a computer. Except in problems where you're asked explicitly to sketch or to draw by hand, you can use MATLAB to plot direction fields and solution curves.
|
Date |
Topics |
Reading |
Homework |
Remarks |
|---|---|---|---|---|
|
January 13, W |
Practical details. What is an ODE? How to picture a first order ODE and its solutions. |
none |
Assignment 0 |
Unusually short time for Assignment 0:
|
|
January 14, Th |
Introduction to MATLAB |
Chapters 1-4 in Differential Equations with MATLAB |
Assignment 1 |
Unusually short time for assignment and unusual due
date: Do the reading before the tutorial. You'll get more done in tutorial that way. |
|
January 15, F |
First order ODEs and their solutions |
Sections 1.1 and 2.1 in Polking |
Assignment 2 |
Assignment 0 due Use dfield as your numerical solver. Read the cursor position to obtain numerical values. |
|
January 18, M |
|
|
|
Sign up for MATLAB group by today No class |
|
January 20, W |
Separable equations |
Section 2.2 in Polking |
|
Assignment 1 due |
|
January 21, Th |
Tutorial, quiz |
|
|
|
|
January 22, F |
Linear equations |
Section 2.4 in Polking |
|
Assignment 2 due |
|
January 25, M |
Linear equations |
Section 2.4 in Polking |
|
|
|
January 27, W |
Motion |
Section 2.3 |
|
|
|
January 28, Th |
Tutorial, quiz |
|
|
|
|
January 29, F |
Motion, cont'd
|
Sections 2.3, 2.6 |
|
Assignment 3 due
|
|
February 1, M |
Exact equations, cont'd,
|
Sections 2.6-2.7 |
|
|
|
February 3 W |
Existence and Uniqueness cont'd,
|
Sections 2.7-2.8 |
|
|
|
February 4, Th |
Tutorial, quiz |
|
|
|
|
February 5, F |
Dependence on parameters,
|
Sections 2.8, 2.9 |
Assignment 4 due |
|
|
February 8, M |
Autonomous equations, cont'd
|
Sections 2.9, 2.5 |
|
No office hours today or tomorrow |
|
February 10, W |
Mixing, cont'd
|
Sections 2.5, 3.1, 3.2 |
|
|
|
February 12, Th |
Tutorial, quiz |
|
|
|
|
February 13, F |
Population, cont'd
|
Section 3.1 |
Assignment 5 due |
|
|
February 15, M |
Finance, Euler's method |
Sections 3.3, 6.1 |
|
|
|
February 17, W |
Review |
|
|
|
|
February 18, Th |
Exam 1 |
|
|
|
|
February 19, F |
Euler's method, Runge-Kutta |
Sections 6.1-6.2 |
Assignment 6 due |
|
|
February 22, M |
Euler's method cont'd,
|
Sections 6.1-2 |
|
|
|
February 24, W |
Errors and pitfalls |
Sections 6.3-6.4, MATLAB Chapter 8 |
|
|
|
February 25, Th |
Go over exam in tutorial, quiz |
|
|
Quiz
on personal finance (section 3.3) and Euler's method (section
6.1)
Math for
Everyone at 5 p.m. in 101 Jordan
|
|
February 26, F |
Intro to systems |
Section 8.1 |
Assignment 7 due |
|
|
February 29, M |
Intro to systems, cont'd
|
Sections 8.1, 8.2 |
|
Start reviewing linear algebra if you're rusty. |
|
March 2, W |
Geometric interpretation, cont'd |
Section 8.2 |
|
|
|
March 3, Th |
Tutorial, quiz |
|
|
Quiz on sections 6.3 and 8.1 in Polking, et al, and sections 8.3-8.4 in Differential Equations with MATLAB |
|
March 4, F |
Qualitative analysis |
Section 8.3 |
Assignment 8 due
|
|
|
March 14, M |
Qualitative analysis, cont'd
|
Sections 8.3, 8.4 |
|
|
|
March 16, W |
Linear systems |
Sections 8.4, 8.5 |
|
|
|
March 17, Th |
Tutorial, quiz |
|
|
Quiz on sections 8.2-8.4 |
|
March 18, F |
Constant coefficient systems |
Section 9.1
|
Assignment 9 due |
|
|
March 21, M |
Properties of linear systems, cont'd
|
End of Section 8.5, Section 9.1 |
|
|
|
March 23, W |
Constant coeff. systems, cont'd,
planar systems
|
Sections 9.1-9.2 |
|
|
|
March 24, Th |
Tutorial, quiz |
|
|
Assignment 10 due, unusual day Quiz on sections 8.5, 9.1-9.2 |
|
March 30, W |
Review |
|
|
|
|
March 31 Th |
Exam 2 |
|
|
|
|
April 1, F |
Constant coefficient planar systems |
Section 9.2, cont'd |
|
|
|
April 4, M |
Phase portraits |
Section 9.3 |
|
|
|
April 6, W |
Trace-determinant plane
|
Section 9.4 |
|
Math Autobiographical talk, Kevin Grady, 5:30 p.m. in 127 Hayes-Healy |
|
April 7, Th |
Tutorial
|
Go over Exam 2
Quiz |
|
Math for Everyone at 5 p.m. in
101 Jordan
For extra credit: Go, write a paragraph about something you found interesting and what you thought of the talk |
|
April 8, F |
Exponential of matrix |
Section 9.6 |
|
Assignment 11 due |
|
April 11, M |
Exponential of a matrix, cont'd,
Sections 9.6, 9.7 |
|
|
Project due Monday, April 18 |
|
April 13, W |
Second order ODEs, homogeneous linear constant coefficient equations |
Sections 4.1-4.3 |
|
You've seen most of the material in 4.1-4.3 before.
|
|
April 14, Th |
Tutorial, quiz |
|
|
|
|
April 15, F |
Second order ODEs, homogeneous case, cont'd
|
Sections 4.1-4.4 |
Assignment 12 due
|
|
|
April 18, M |
Harmonic motion
|
Sections 4.4-4.5 |
|
Project due
|
|
April 20, W |
Nonhomogeneous constant coefficient second order ODEs, cont'd
Forced harmonic motion |
Sections 4.6-4.7 |
|
|
|
April 21, Th |
Tutorial, quiz |
|
|
Quiz on sections 4.1-4.7 |
|
April 22, F |
Linearization and stability |
Sections 10.1-1.2 |
Assignment 13 due
|
|
|
April 25, M |
Linearization and stability, cont'd
|
Sections 10.1-2, 9.9 |
|
Revisions to project due |
|
April 27, W |
Nonhomoegneous systems, cont'd
|
Section 9.9 |
What was Lorenz studtying and how did he discover the strange behavior of the system? |
Assignment 14 due
|
|
April 28, Th |
Review |
|
Review outline for final |
Review session at 3:30 p.m. in 231 Hayes-Healy |
|
May 5, Th |
Final |
|
Extra credit assignment due
|
In 229 Hayes-Healy at 8 a.m. |