MTH 240 — Introduction to Linear Algebra (4) (4,0)
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 the concepts 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, and inverses of linear transformations; and range and kernel of a linear transformation. In addition, at least one of either eigenvalues and eigenvectors or inner product spaces and orthogonality will be covered. Material is presented with an emphasis on student-written proofs.(1.1) IAI Major: MTH 911 Proficiency Credit Not Available Pass/No Credit Not Available.