Linear Algebra - Foundations to Frontiers

Go to class
Write Review

Free Online Course: Linear Algebra - Foundations to Frontiers provided by edX is a comprehensive online course, which lasts for 15 weeks long, 6-10 hours a week. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from edX. Linear Algebra - Foundations to Frontiers is taught by Robert van de Geijn and Maggie Myers.

Overview
  • Linear Algebra: Foundations to Frontiers (LAFF) is packed full of challenging, rewarding material that is essential for mathematicians, engineers, scientists, and anyone working with large datasets. Students appreciate our unique approach to teaching linear algebra because:

    • It's visual.
    • It connects hand calculations, mathematical abstractions, and computer programming.
    • It illustrates the development of mathematical theory.
    • It's applicable.

    In this course, you will learn all the standard topics that are taught in typical undergraduate linear algebra courses all over the world, but using our unique method, you'll also get more! LAFF was developed following the syllabus of an introductory linear algebra course at The University of Texas at Austin taught by Professor Robert van de Geijn, an expert on high performance linear algebra libraries. Through short videos, exercises, visualizations, and programming assignments, you will study Vector and Matrix Operations, Linear Transformations, Solving Systems of Equations, Vector Spaces, Linear Least-Squares, and Eigenvalues and Eigenvectors. In addition, you will get a glimpse of cutting edge research on the development of linear algebra libraries, which are used throughout computational science.

    MATLAB licenses will be made available to the participants free of charge for the duration of the course.

    To see what former learners have to say about the course, read reviews on coursetalk.

    We invite you to LAFF with us!

Syllabus
  • Week 0 Get ready, set, go!
    Week 1 Vectors in Linear Algebra
    Week 2 Linear Transformations and Matrices
    Week 3 Matrix-Vector Operations
    Week 4 From Matrix-Vector Multiplication to Matrix-Matrix Multiplication
    Exam 1
    Week 5
    Matrix-Matrix Multiplication
    Week 6 Gaussian Elimination
    Week 7 More Gaussian Elimination and Matrix Inversion
    Week 8 More on Matrix Inversion
    Exam 2
    Week 9 Vector Spaces
    Week 10 Vector Spaces, Orthogonality, and Linear Least Squares
    Week 11 Orthogonal Projection and Low Rank Approximation
    Week 12 Eigenvalues and Eigenvectors
    Final