University of Houston
Department of Mathematics
MATH 4364 Numerical Analysis

Prerequisites: MATH 2431 (Linear Algebra), MATH 3331 (Differential Equations), COSC 1301 or 2101 or equivalent experience with one programming language (computer assignments).

Textbook: Numerical Analysis (8th edition), by R.L. Burden and J.D. Faires, Brooks-Cole Publishers

Brief Description of MATH 4364 : This course introduces students to classical numerical methods for approximating the solutions of common mathematical problems. It allows students to deal with numerical methods both at a theoretical level and for programming purposes. This is an introductory course and will be a mix of mathematics and computing. The mathematical content of the course for this semester covers interpolation, numerical integration, direct and iterative methods for solving linear systems of algebraic equations and numerical methods for solving nonlinear algebraic equations. N.B. This is the first semester of a two semester course. The emphasis the second semester (MATH 4365) will be in particular on numerical methods for ordinary differential equations and partial differential equations.

Course structure: This a ex-cathedra course, that is a mix of mathematics of computing. Student evaluation will be based on in-class exams and one final exam, homework extracted from the text and computer projects.

Tentative Syllabus of the Fall semester (MATH 4364)

Tentative Syllabus of the Spring semester (MATH 4365)