In this repository, I will be uploading my textbook and readings notes for MAT291: Introduction to Mathematical Physics by lecture. The notes are organized by week; use the table below to see what topics were covered in each week. To find my notes for other courses I've taken at the University of Toronto, visit my website!
| Week | Sections Covered |
|---|---|
| Week 1 (Sept 2 - 6) | Vectors, Lines, Planes, Surfaces, Other Coordinates, Graphing |
| Week 2 (Sept 9 - 13) | Limits, Continuity, Partial Derivatives, Differentiability |
| Week 3 (Sept 16 - 20) | Chain Rule, Directional Derivative and Gradient, Tangential Plane and Linear Approximation to Curved Surfaces |
| Week 4 (Sept 23 - 27) | Small Signal Modelling, Double Integrals over Rectangular Regions, Double Integrals over General Regions |
| Week 5 (Sept 30 - Oct 4) | Triple Integrals, Change of Variables for 2 and 3 Variables, Strategies for Determining Change of Variables (Double Integrals) |
| Week 6 (Oct 7 - 11) | Double Integrals in Polar Coordinates, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates |
| Week 7 (Oct 14 - Oct 18) | Line Integrals of Scalar Functions, Surface Integrals |
| Week 8 (Oct 21 - 25) | Surface Integrals, Circulation and Flux, Curl and Divergence of a Vector Field, Vector Identities, Helmholtz Theorem, Divergence Theorem, Stokes' Theorem |
| Week 9 (Nov 4 - 8) | Divergence Theorem (Tooling Example), Stokes' Theorem (Tooling Example), Computing the Field F if the Divergence and Curl of the Vector Field F are Given |