gibson:teaching:fall-2016:math753:description

This course introduces mathematical algorithms and methods of approximation. Topics include a wide survey of approximation methods. Methods examined include polynomial interpolation, root finding, numerical linear algebra, numerical integration, and the approximation of differential equations. Included in each case is a study of the accuracy and stability of a given technique, as well as its efficiency.

In the fall of 2016 the course will also serve as an introduction to the Julia programming language.

Prerequisites: MATH 426; MATH 445 (or CS 410 or IAM 550). Essentially, calculus and some programming.

- To learn the fundamentals of solving mathematical problems numerically on computers.
- To develop basic fluency in the Julia programming language.
- To develop reading, writing, and speaking skills.

The course will follow a typical lecture, homework, exam format. On some occasions lecture time might be divided into 50 minutes lecture and 30 minutes in-class lab work, with students working individually or in pairs to solve sample problems on computers.

gibson/teaching/fall-2016/math753/description.txt · Last modified: 2016/08/30 08:37 by gibson