Topics in Numerical Analysis is a computational science course that covers several of the fundamental subjects in numerical analysis. The primary topic will be the numerical solution of ODEs, but we will also spend some time on nonlinear optimization (how to find the max and min of functions numerically) and approximation of the elementary functions (how the computer determines values of functions like sine and cosine). We'll also discuss floating point arithmetic, including a discussion of interval methods (which perform calculations with guaranteed bounds on the possible error).

This course counts toward the Computational Science minor.

Grading: Three non-cumulative midterms and weekly homework. No final exam.

Prerequisite: MA212 or MA221, and a Matlab-based introductory numerical methods course such as MA332, MA433, ME323, CE310, or CHE310.

Maintainer: leader@rose-hulman.edu.