Hands On Training

Linear Algebra - Foundations to Frontiers

The University of Texas at Austin

via

edX

Course Features

Duration

15 weeks

Delivery Method

Online

Available on

Limited Access

Accessibility

Mobile, Desktop, Laptop

Language

English

Subtitles

English

Level

Intermediate

Effort

10 hours per week

Teaching Type

Self Paced

Course Description

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!

Course Overview

International Faculty

Post Course Interactions

Instructor-Moderated Discussions

Skills You Will Gain

Prerequisites/Requirements

High School Algebra, Geometry, and Pre-Calculus.

What You Will Learn

Algorithms for matrix computations and solving systems of equations

Connections between linear transformations, matrices, and systems of linear equations

Orthogonality, linear least-squares, eigenvalues and eigenvectors

Partitioned matrices and characteristics of special matrices

Vector spaces, subspaces, and characterizations of linear independence

Course Content

Expand all sections

Module 1: Matrix-Matrix Multiplication

Module 2: Get ready, set, go!

Module 3: Vectors in Linear Algebra

Module 4: Linear Transformations and Matrices

Course Instructors

Maggie Myers

Lecturer, Department of Statistics and Data Sciences at The University of Texas at Austin

Dr. Maggie Myers was a lecturer for the Department of Computer Science and Division of Statistics and Scientific Computing. She taught undergraduate and graduate courses in Bayesian Statistics. Her r...

Robert van de Geijn

Professor of Computer Science at The University of Texas at Austin

With a Ph.D. in applied mathematics, Robert van de Geijn is a professor of Computer Science and a member of the Oden Institute for Computational Engineering and Science and the Division of Statistics...