Linear Algebra for MATH 308
A mini-course in Linear Algebra for MATH 308
This online workshop provides a general introduction to linear algebra. It is designed to helps students prepare for MATH 308: Differential Equations, but the material is also relevant to students not in Math 308.
Format
- Each lecture below contains videos covering the listed topics.
- There are also detailed notes for the material in the videos.
- Lectures 3 through 8 have exercises you can try after learning the material. Each exercise also has a written solution and video showing how to solve the problems.
- If you want to go straight to a particular topic or the exercises, you can click on the links.
Course Content
View Lecture 1: Vectors, Linear Independence, and Spanning Sets
- Vectors and Vector Spaces
- Motivation from Systems of Equations
- Linear Independence
- Spanning Set and Basis
- Motivation from Systems of Equations
- Matrices
- Matrix-Vector Multiplication
- Eigenvectors
- Algebra and Calculus with Vectors and Matrices