Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 322: Applied Mathematical Analysis

Student Body: 

Students in the Sciences and Engineering. Applied Math majors.

Background and Goals: 

This is the second semester in the standard sequence in applied analysis at the math department. This sequence is aimed to applied math majors and students in the sciences and engineering who need to have knowledge of analysis and its applications beyond the standard calculus sequence. A good introductory course in the study of partial differential equations and boundary value problems.

Alternatives: 

N/A

Subsequent Courses: 

N/A

Course Content: 
  • Introduction
    • General remarks on PDEs
    • Linearity and the Principle of Superposition
    • Separation of variables
    • An example of PDE: the heat equation
  • Fourier Series
  • Solution of the heat, Laplace and wave equations
  • Finite Difference Methods: A First Look
  • Inhomogeneous Equations
  • A second look at the basic equations
    • Circular Domain
    • Higher dimensions
  • Unbounded regions and the Fourier transform
  • More on the wave equations: characteristics
  • More on numerical methods
  • Green's functions
  • dispersion, stability, boundary layers
credits: 
3. (N-A)
semester: 
FallSpring
prereqs: 
Math 319, 321.

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

(608) 263-3054

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