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 connects hand calculations, mathematical abstractions, and computer programming.
It illustrates the development of mathematical theory.
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.
We invite you to LAFF with us!
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
MOOCs stand for Massive Open Online Courses. These arefree online courses from universities around the world (eg. StanfordHarvardMIT) offered to anyone with an internet connection.
How do I register?
To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you. They also have student discussion forums, homework/assignments, and online quizzes or exams.
Life Is Studycompleted this course, spending 7 hours a week on it.
LAFF requires a major time commitment. Unless you are already familiar with some of the topics, you'll probably spend 5-8 hours a week. It is clear that a tremendous amount of effort went into producing the materials for this course. There are multiple homework exercises after almost every video and most weeks have one or more programming exercises where you implement and visualize linear algebra functions using tools the instructors have created. The instructors were also active on the forums, which was nice to see.