ODE Home
Announcements
Syllabus
Homework Assignments
Homework Solutions
Exercises
html
pdf
Lectures
Index
Exams - Solutions
Maple Worksheets
Koofers
Links
Video
Lecture
Date
Topic
0
Linear Algebra Review for ODEs
pdf
1
01.21
Working Definitions & Examples
pdf
2
01.26
First Order ODEs - Solutions & Their Properties
pdf
3
01.28
First Order Separable & Exact ODEs
pdf
4
02.02
First Order Linear ODEs
pdf
5
02.04
Visualization Tools for Solutions to First Order ODEs
pdf
6
02.09
Integral Solutions to a Linear 1st-Order ODEs
pdf
7
02.11
Approximation Tools for 1st-Order ODEs
pdf
8
02.16
Existence, Uniqueness, Extendability, & Continuous Dependence for 1st-Order ODEs
pdf
9
02.18
Qualitative tools for 1st-Order ODEs
pdf
02.23
Exam 1
10
02.25
Linear Homogeneous 2nd-Order ODEs - Analysis & Visualization
pdf
11
03.02
Fundamental Solution Sets for Linear Homogeneous 2nd-Order ODEs
pdf
12
03.04
Visualization & Numerical Approximation Tools for Solutions to Linear Homogeneous 2nd-Order ODEs
pdf
13
03.18
Linear Nonhomogeneous 2nd-Order ODEs - The General Solution & the UC Method
pdf
14
03.23
Linear Nonhomogeneous 2nd-Order ODEs - Variation of Parameters & Green's Kernel
pdf
15
03.25
Physical Systems Modelled by Linear Nonhomogeneous 2nd-Order ODEs
pdf
16
03.30
Green's Kernel & Convolution for Linear ODEs
pdf
17
04.01
Delta Functions & the Impulse Response
pdf
04.06
Exam 2
18
04.08
Introduction to Laplace Transforms
pdf
19
04.13
Operational Properties of Laplace Transforms
pdf
20
04.15
Solution of Linear IVPs by Laplace Transforms
pdf
21
04.20
Linear Systems - Examples & Theory
pdf
22
04.22
Solution by Eigenvectors
pdf
23
04.27
Phase Portraits of Two-Dimensional Systems
04.29
Exam 3
24
Phase Plane Analysis of Nonlinear 2nd-Order ODEs
25
Physical Systems Modelled by Nonlinear 2nd-Order ODEs
INDEX
Stephen Saperstone Home
George Mason Home
Mathematical Sciences Home