syllabus.pdf - University of Toronto Division of...

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University of Toronto Division of Engineering Science Linear Algebra MAT185S Nuts & Bolts MAT185 is a continuation of linear algebra that was begun in ESC103. The essential topics in this course are vector spaces, determinants, eigenvalues and eigenvectors, diagonalization, and the solution of a system of ordinary differential equations. Our lectures will follow our notes , which will be available online at portal.utoronto.ca (Blackboard). The suggested supplementary volume, taken from Nicholson, is intended as a source of exercises and problems. The Nicholson text itself may be consulted as a second voice on the topic. This is a mathematics course and so you will see many proofs. You need to know not only the definitions and theorems but also to understand the proofs you encounter. The statements of results, and often their proofs, endow you with the tools and insight that you will need to do the suggested exercises and to understand future courses you may take. You should do as many exercises each week as possible but you should especially attempt the ones that are indicated in boldface and underlined for discussion in the following week’s tutorial.
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