MATH 311 Geometric Algebra
(3-0-3) This course is designed as an introduction to linear and geometric algebra. Linear algebra topics include vectors, vector spaces, matrices, inner and outer products, eigenvectors, and linear transformations. Extending these ideas to higher-dimensional objects gives geometric algebra; topics include oriented areas and volumes, multivectors, the geometric product, blades, complex numbers and quaternions, the exterior product, and an introduction to other algebras.