Math 224
Scientific Computing I

Fall 2005

Instructor: Anita Layton
Office: Physics 127
Phone: (919) 660-6979
Office Hours: TBA in Physics 127
Email: alayton@math.duke.edu

Class Times: MWF: 11:55 a.m. - 12:45 p.m. in Physics 120

Prerequisite: Math 103, 104, and basic programming background in C/C++, FORTRAN, or MATLAB

Textbooks:

Course Outline: This course will develop the theoretical and computational techniques for

  • finding roots of nonlinear functions (bisection, linear iterative methods, Newton's method)
  • numerical linear algebra (direct and iterative solutions for large matrix-vector systems, solutions of eigenvalue problems)
  • the solution of nonlinear systems (Newton's method).
Error analysis and formulation of convergent mathematical schemes will be used to derive stable, reliable, efficient, and accurate numerical methods for large classes of problems.

Scientific Computing II develops indispensable computation tools for research in many areas of engineering and applied mathematics.

This course is a prerequisite for Math 226 and 227: Numerical Partial Differential Equations, parts I & II.

Problem sets

A MATLAB Tutorial

Mail comments to Anita Layton.