APMTH 205: Advanced Scientific Computing: Numerical Methods

Nick Trefethen
APMTH 205    |      Fall 2024      |      Course Listing    |   Canvas Site
Monday & Wednesday, 3:00 PM – 4:15 PM

Mathematical theory and implementation aspects of well-established numerical algorithms applied in various scientific and engineering disciplines. The course will cover data fitting, numerical linear algebra, numerical differentiation and integration, optimization, and numerical solvers for differential equations. There will be a significant programming component. Students will be expected to implement a range of numerical methods as part of individual and group-based projects. The material is sufficiently diverse to match each student’s background and programming skills.

Recommended Prep: Familiarity with linear algebra and calculus; basic programming knowledge (Python or MATLAB recommended).