Math 224
Scientific Computing

Fall 2010

Instructor: Anita Layton
Office: Physics 213
Phone: (919) 660-6971
Office Hours: Wed 1:30-2:30, Fri 11:30-12:30pm
Email: alayton AT math DOT duke DOT edu

Class Times: WF: 2:50 p.m. - 4:05 p.m. in Physics 119

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

Textbooks:
References:

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.

Examples and problem sets