An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear dependence and independence, subspaces, basis. Inner products. Matrix ...

Linear transformations. Linear operators, change of basis, inner product and the diagonalization problem. Quadratic forms. Convex sets and geometric programming, input/output models for an economy, ...

Prerequisite: Linear Algebra. Generally offered: every spring. Explores some topic that builds on material in 3140. Possible topics include (but are not limited to) Galois theory, representation ...

MATH 4450 Advanced Linear Algebra (Offered Occasionally: 3) Prerequisites: MATH 2210 Linear Algebra and MATH 3310 Introduction to Abstract Algebra. This proof-based course presents a more rigorous ...

The student must pass the department’s Foundation Exam. This exam covers material from advanced vector calculus and linear algebra at the upper-division undergraduate level and is offered before the ...