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MTH 135 Introduction to Linear Algebra
Credit Hours: 4
Prerequisite: Grade of C or better in MTH 134

First course in vectors and matrices, vector spaces, and linear transformations. The ideas discussed not only serve as a good introduction to the more abstract courses a mathematics student meets at the junior-senior level, but they also have many useful applications outside of mathematics. Covers the following topics: vectors, matrices, operations on matrices, inverse of a matrix, solutions of systems of linear equations, rank of a matrix, vector spaces and subspaces, linear dependence and independence, basis and dimension, linear transformations, sums, composites, inverses of linear transformations, range and kernel of a linear transformation, and eigenvalues and eigenvectors, diagonalization, inner products and orthogonality, including the Gram-Schmidt process. Quadratic forms and other additional topics could be included, as time permits. (1.1) Proficiency Credit Not Available Pass/No Credit Not Available