Math 330: Ordinary Differential Equations
Fall 2025
Tentative Detailed Class Schedule
|
Class # |
Date |
Topic |
|
1 |
Sep 3 |
Intro Class: Modeling and Simple Differential Equations |
|
2 |
Sep 5 |
Solutions; Initial Value Problems; Direction Fields |
|
3 |
Sep 8 |
Equilibrium Solutions; Classification of DEs |
|
4 |
Sep 10 |
Linear Equations and the Method of Integrating
Factor |
|
5 |
Sep 12 |
Separable Equations |
|
6 |
Sep 15 |
Modeling with First Order Equations |
|
7 |
Sep 17 |
Linear vs. Nonlinear equations; Autonomous Equations |
|
8 |
Sep 19 |
Exact Equations |
|
9 |
Sep 22 |
Euler’s Method and Numerical Approximations |
|
10 |
Sep 24 |
Picard’s Method; Existence and Uniqueness Theorem |
|
11 |
Sep 26 |
Catch-Up Class |
|
12 |
Sep 29 |
Homogeneous Second Order Eq’s with Constant Coefficients |
|
13 |
Oct 1 |
Fundamental Solutions; General Solution; Wronskian |
|
14 |
Oct 3 |
Linear Independence of Solutions |
|
15 |
Oct 6 |
Complex and Repeated Roots of Characteristic Equation |
|
16 |
Oct 8 |
Non-homogeneous Equations; Undetermined Coefficients |
|
17 |
Oct 10 |
Variation of Parameters |
|
18 |
Oct 13 |
Mechanical and Electrical Vibrations; Harmonic
motion |
|
19 |
Oct 15 |
Damped Vibrations |
|
20 |
Oct 17 |
Forced Vibrations; Resonance |
|
21 |
Oct 20 |
Higher-Order Linear Equations |
|
22 |
Oct 22 |
Catch-Up Class |
|
23 |
Oct 24 |
Midterm Exam |
|
24 |
Oct 27 |
Power Series: Review |
|
25 |
Oct 29 |
Basic Method of Series Solutions |
|
26 |
Oct 31 |
Series Solutions Near an Ordinary Point |
|
27 |
Nov 3 |
Catch-Up Class |
|
28 |
Nov 5 |
Solutions of the Legendre Equation |
|
29 |
Nov 7 |
Cauchy-Euler Equations |
|
30 |
Nov 10 |
Laplace Transform and Its Properties |
|
31 |
Nov 12 |
Solutions of Initial Value Problems with Laplace
Transform |
|
32 |
Nov 14 |
Discontinuous Forcing Functions |
|
33 |
Nov 17 |
Using Shift Theorems in Solving Initial Value
Problems |
|
34 |
Nov 19 |
Impulse Functions; Convolution Theorem and Applications |
|
35 |
Nov 21 |
Systems of First Order Linear Equations |
|
36 |
Nov 24 |
Systems of First Order Linear Equations (continued) |
|
37 |
Dec 1 |
Introduction to Nonlinear Equations |
|
38 |
Dec 3 |
Numerical Methods; Runge-Kutta Method |
|
39 |
Dec 5 |
Catch-Up Class |
|
40 |
Dec 8 |
Research Projects Presentations |
|
41 |
Dec 10 |
Research Projects Presentations |
|
42 |
Dec 12 |
Review |
|
|
Dec 15 |
Final Exam (2:00 - 4:30) |