# 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:

- 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

## TEXTBOOKS:

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