Lecturer: Matthias Maier

Office hours: We 2:30 - 3:45, Fr 2:30 - 3:45 in Vincent Hall 331 (Spring)

Math 5485-6, is an introductory two-semester course about numerical methods. We will learn about basic mathematical principles for devising and analysing of numerical methods. In particular, we will cover approximation theory of functions, numerical integration, systems of nonliner equations, numerical methods for ordinary differential equations and partial differential equations.

(deal.II)

- Lecture notes will be made available on Moodle
- (Optional) Burden and Faires, Numerical Analysis, 10th edition
- (Optional) Ascher, First Course In Numerical Methods, electronic version (available from within University network)

Topics for 5485, Fall 2017 (tentative):

- Solution of nonlinear equations in one variable / systems of nonlinear equations
- Interpolation and polynomial approximation
- Numerical integration/differentiation
- Numerical solution of ordinary differential equations (initial-value problems)

- Direct and iterative methods for solving linear systems
- Numerical solution of ordinary differential equations (boundary-value problems)
- Numerical solution of partial differential equations