MATH-433 Linear & Modern Algebra
This course is a continuation of MATH 243 (Matrix Theory); it moves from a largely computational approach to a more abstract view. It introduces abstract vector spaces, linear transformations, general fields, and inner products. This course also introduces the concept of an abstract group, focusing in particular on matrix groups such as the general linear, special linear, and orthogonal groups. The group of rigid motions of the plane in studied in detail. MATH 433 provides background required for MATH 434 (Abstract Algebra), which proceeds to a deeper study of group theory and an introduction to commu-tative algebra. (every semester)