Class MWF 10:00-11:00, MATX 1100 Office Hours M 14:00-15:30, Th 14:00-15:00 or by appointment

Note: the prerequisite may be waived for exceptional incoming students. About the course We will explore linearity, one of the simplest mathematical phenomena, and Linear algebra, a basic math-ematical language. It is used within mathematics, for example to talk about differential equations and strategies in game theory, and generally within science to describe the world around us. For example, it is the most natural language to express quantum mechanics, is basic to studying signal processing and underlies calculations in computer graphics. We will emphasize mathematical ways of thought, including understanding definitions and writing rigorous proofs. This course is aimed at excellent students (typically honours students, though anyone may enroll). It is more abstract and covers more material than MATH 152 and MATH 221. The textbook for this course is [2], Linear algebra by Friedberg, Insel and Spence. It will serve as a reference and as a source of practice problems. That said, the material is standard and is covered by many textbooks. Purely as examples note [4] (emphasis on worked problems). and [3] (extremely abstract treatment) There will be three parallel themes through the course: computation, abstract linear algebra, and general mathematical thinking. Exams will consist roughly of 30-40 % computation and 60%-70 % abstract material. Teaching and learning Course plan (material