A proof-based treatment of linear algebra. Topics include a theoretical exploration of matrix properties including building linear algebra from first principles, including non-commutativity, the properties of inverses, and the structure and organization of the solutions of linear systems. The class builds up to the understanding of the fundamental theorem of linear algebra through a set of equivalent statements about matrix properties. This class requires students to be familiar with mathematical proof writing.
Course Number
UM51A
Level
University
Semester
Fall
Credit Hours
5.00
Subject
Prerequisites
AP Calculus BC (OM4BC) with AP Test score 5 or Multivariable Calculus (UM150) and consent of instructor, Advanced Problem Solving & Proof Techniques (OM050) recommended
Additional Information
Prior university level course in mathematics, prior experience reading and writing mathematical proofs is required. If the student has not taken Multivariable Calculus (UM150), an interview with the instructor will be required. Completion of an exam demonstrating proficiency reading and writing proofs may also be required.