The following is a tentative syllabus for the course.

week # Brief Description
Weeks 1-2 Root finding algorithms
Week 2-3 Numerical linear algebra
Week 4 Numerical interpolation
Weeks 5-6 Numerical approximation (least squares, orthogonal polynomials)
2/3 Exam 1
Week 7 Numerical differentiation and integration
Weeks 8-9 Numerical methods for ordinary differential equations
3/8 Exam 2