Course Website: https://ccle.ucla.edu/course/view/18F-MATH115A-6
Syllabus: syllabus_115Apdf
Lectures: MWF 1:00pm-1:50pm, MS 5147
Teaching Assistant: Eilon Reisin-Tzur
Discussion Sessions: TR 1:00pm-1:50pm, MS 5147
Course prerequisites: Math 33A.
Course materials: Linear Algebra, Custom UCLA Fourth Edition, by Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence. The custom edition includes Chapters 2 and 3 from Mathematical Thinking: Problem-Solving and Proofs, Second Edition, by John P. D'Angelo and Douglas B. West.
Course description: The course has two main goals. One is to rigorously establish the basics of linear algebra over a field. The other is to introduce students to the concept and practice of rigorous mathematical proof more broadly. The course material includes such topics as abstract vector spaces, linear transformations and matrices, determinants, eigenvector theory and diagonalization of matrices, inner product spaces.