Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 514: Numerical Analysis

Student Body: 

Computer Science, applied math majors and math majors with emphasis in Comp. Sci. Graduate students in related areas.

Background and Goals: 

Polynomial forms, divided differences. Polynomial interpolation. Polynomial approximation: uniform approximation and Chebyshev polynomials, least-squares approximation and orthogonal polynomials. Numerical differentiation and integration. Splines, B-splines and spline approximation. Numerical methods for solving initial and boundary value problems for ordinary differential equations.

Alternatives: 

N/A

Subsequent Courses: 

Math 515

Course Content: 
  • 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
credits: 
3. (N-A)
semester: 
Fall
prereqs: 
(MATH 320, 340, 341 or 375) and (MATH 322, 376, 421 or 521) and (COMP SCI 200, 300, 301, or 310) or graduate or professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, WI  53706

(608) 263-3054

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