Math 113: Linear Algebra and Matrix Theory
Course Description: Math 113 will cover the basics of linear algebra from a theoretical standpoint. We will cover properties of vector spaces, linear transformations, and spectral decompositions. The emphasis will be on theoretical aspects of these topics and producing rigorous proofs of results rather than on computation. The course will also focus on teaching students how to write proofs and doing so will be expected on the homeworks. Math 113 is appropriate for students who have already taken Math 51, although the latter is not a requirement.