MIT OpenCourseWare provides a this course for free.

Given its prominence to neural networks and quantum computing, now is a good time to learn Linear Algebra.

MIT A 2020 Vision of Linear Algebra, Spring 2020Instructor: Gilbert StrangView the complete course: https://ocw.mit.edu/2020-visionYouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61iQEFiWLE21EJCxwmWvvek

Professor Strang describes independent vectors and the column space of a matrix as a good starting point for learning linear algebra. His outline develops the five shorthand descriptions of key chapters of linear algebra. 

Learn Algebra in this full college course. Algebraic concepts are often used in programming. 

This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel: https://www.youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw  

Chapters:

  • (0:00:00) Exponent Rules
  • (0:10:14) Simplifying using Exponent Rules
  • (0:21:18) Simplifying Radicals
  • (0:31:46) Factoring
  • (0:45:08) Factoring – Additional Examples
  • (0:55:37) Rational Expressions
  • (1:05:00) Solving Quadratic Equations
  • (1:15:22) Rational Equations
  • (1:25:31) Solving Radical Equations
  • (1:37:01) Absolute Value Equations
  • (1:42:23) Interval Notation
  • (1:49:35) Absolute Value Inequalities
  • (1:56:55) Compound Linear Inequalities
  • (2:05:59) Polynomial and Rational Inequalities
  • (2:16:20) Distance Formula
  • (2:20:59) Midpoint Formula
  • (2:23:30) Circles: Graphs and Equations
  • (2:33:06) Lines: Graphs and Equations
  • (2:41:35) Parallel and Perpendicular Lines
  • (2:49:05) Functions
  • (3:00:53) Toolkit Functions
  • (3:08:00) Transformations of Functions
  • (3:20:29) Introduction to Quadratic Functions
  • (3:23:54) Graphing Quadratic Functions
  • (3:33:02) Standard Form and Vertex Form for Quadratic Functions
  • (3:37:18) Justification of the Vertex Formula
  • (3:41:11) Polynomials
  • (3:49:06) Exponential Functions
  • (3:56:53) Exponential Function Applications
  • (4:08:38) Exponential Functions Interpretations
  • (4:18:17) Compound Interest
  • (4:29:33) Logarithms: Introduction
  • (4:38:15) Log Functions and Their Graphs
  • (4:48:59) Combining Logs and Exponents
  • (4:53:38) Log Rules
  • (5:02:10) Solving Exponential Equations Using Logs
  • (5:10:20) Solving Log Equations
  • (5:19:27) Doubling Time and Half Life
  • (5:35:34) Systems of Linear Equations
  • (5:47:36) Distance, Rate, and Time Problems
  • (5:53:20) Mixture Problems
  • (5:59:48) Rational Functions and Graphs
  • (6:13:13) Combining Functions
  • (6:17:10) Composition of Functions
  • (6:29:32) Inverse Functions

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