Math 514 - Numerical Analysis

• Prerequisites: Math 340 or equivalent, Comp Sci 302 or equivalent.
• Frequency: Irregular.
• Student Body: Computer Science, applied math majors and math majors with emphasis in Comp. Sci. Graduate students in related areas.
• Credits: 3. (N-A)
• Recent Texts:
• Course Coordinator: Amos Ron
• Background and Goals: The goal of this course is to provide graduate students and advanced undergraduate students with an introduction to Numerical analysis, or numerical approaches to calculus. It is run by the Computer Science department.
• Alternatives: N/A
• Subsequent Courses: Math 515

Content coverage:

• Polynomial forms, divided differences
• Polynomial interpolation, Polynomial approximation:
  • Uniform approximation
  • Chebyshev polynomials
  • Least-squares approximations
  • Orthogonal polynomials
• Numerical differentiation and integration
• Splines, B-splines and spline approximation
• Numerical methods for solving initial and boundary value problems for ODEs