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Texas A&M University

MATH 309

Course Content:

Systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, diagnalization, inner product spaces, orthogonal functions, separation of variables, Fourier series, Bessel functions.

Course objectives:

  1. Students will gain working knowledge of matrix algebra, the solution of systems of algebraic linear equations, determinants, and eigenvectors.
  2. Students will learn to recognize and exploit vector spaces, linear transformations, subspaces, bases, and orthogonality in practical problems.
  3. Students will learn to solve separable partial differential equations by Fourier series and Bessel functions.


Math 221, 251, or 253; Math 308 at least concurrently; junior or senior classification or permission of instructor


  • S.J. Leon, Linear Algebra with Applications, 8th edition.
  • M. Spiegel, Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems