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Release-50

Linear Algebra for MATH 308

Linear Algebra for MATH 308 teaser image

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.

Summary

A review of the Linear Algebra material necessary for students in MATH 308

Skills

Matrix Algebra and PropertiesSystems of EquationsFinding Eigenvectors and EigenvectorsSystems of Differential Equations

Target Audience

Students in MATH 308 or anyone who wants a review or introduction to Linear Algebra

Sections

Module 1

Lecture 1: Vectors, Linear Independence, and Spanning Sets Lecture 2: Operations with Matrices and Vectors

Module 2

Lecture 3: Systems of Equations Lecture 3 Exercises Lecture 4: Determinant Lecture 4 Exercises

Module 3

Lecture 5: Eigenvectors and Eigenvalues Lecture 5 Exercises Lecture 6: Matrix Inverses and Diagonalization Lecture 6 Exercises

Module 4

Lecture 7: Systems of Differential Equations Lecture 7 Exercises Lecture 8: Systems of Differential Equations Lecture 8 Exercises
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