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

**Prerequisites: Math 221, 251, or 253; Math 308 at least concurrently; junior or senior classification or permission of instructor
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** TEXTBOOKS:
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- S.J. Leon,
*Linear Algebra with Applications,*8th edition.

- M. Spiegel,
*Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems*