Math 330: Ordinary Differential Equations

Fall 2015

Tentative Detailed Class Schedule

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