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