MOOCs Offered by Autar Kaw

Numerical Methods Part 1:  Numerical methods are techniques to approximate mathematical procedures (example of a mathematical procedure is an integral). Approximations are needed because we either cannot solve the procedure analytically (example is the standard normal cumulative distribution function) or because the analytical method is intractable (example is solving a set of a thousand simultaneous linear equations for a thousand unknowns). The course covers introduction to scientific computing, and numerical methods for differentiation, nonlinear equations and simultaneous linear equations.  

Numerical Methods Part 2:  This course covers the rest of the topics covered in a typical undergraduate Numerical Methods course.  The course covers the numerical methods for interpolation, regression, integration and ordinary differential equations.

Introduction to Matrix Algebra: Matrix algebra is used in a very diverse field of studies. Some of these fields include engineering, mathematics, and business. This course starts with the basics of matrix algebra with questions like: "What is a vector?" No precursory knowledge about matrix algebra is required on the part of the student, so not to worry if you are new to the subject! If you already have some knowledge of beginner concepts, just skip to the area of the course that's right for you! The video lectures are short; covering only one topic at a time, so it's easy to jump right to your level of knowledge.