These are the recordings, scanned lectures, and handouts for students in a class for differential equations offered in spring semester 2026.
Note: Vimeo is a video hosting service which streams a better quality video and has no ads.
These are the recordings, scanned lectures, and handouts for students in a class for differential equations offered in spring semester 2026.
Note: Vimeo is a video hosting service which streams a better quality video and has no ads.
1 - Introduction to the course
Blank notes; filled notes; Vimeo; YouTube
2 - Basics review
3 - Verifying; initial values; setting up; existence and uniqueness
4 - Separable differential equations
5 - Linear first-order differential equations
6 - Exact ODEs and substitution
7 - Population models
8 - Autonomous ODEs
9 - Higher order ODEs; Wronskian
10 - Euler equations; strategy for nonhomogeneous ODE
11 - Order reduction; constant coefficient ODEs
12 - Spring-mass-damper systems
13 - Undetermined coefficients
14 - Variation of parameters
Review
1 - Introduction to ODE systems
2 - Elimination method
3 - Basics of matrices
4 - Differential equations and matrices; eigenvalues and eigenvectors
5 - Handling complex eigenvalues
6 - Handling repeated eigenvalues
7 - Matrix exponentials
8 - Undetermined coefficients for systems
9 - Variation of parameters for systems
Review (Blank PDF; Filled PDF; YouTube; Vimeo) [Handout]
1 - Introduction to Laplace transforms
2 - Laplace transforms and ODEs
3 - Fun with partial fractions
4 - Derivatives and convolutions
5 - Piecewise functions
6 - Delta function
7 - Introduction to series and ODEs
8 - Explicit solution from series + convergence
9 - Ordinary points + radius of convergence
Review
1 - Numerical solutions for basic differential equations; Euler's method
2 - Numerical solutions for systems of differential equations