====== Math 753/853  ======

===== 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 [[http://www.julialang.org|Julia programming language]].

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

===== Objectives =====

  - 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. 

===== Organization =====

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.