Here you will find solutions to some of the exercises I took up in tutorial.
Here is a practice exam for MAT237 that I wrote as an assignment for a course on teaching large classes. You may use it as practice for the tests!
Practice test
Here is a link to my, "How to read a theorem", flowchart
Tutorial 1 - Introduction
Tutorial 2 - Topology of R^{n}
Tutorial 3 - Sequences, topology of R^{n}
Tutorial 4 - Uniform continuity, differentiation, intermediate value theorem
Tutorial 5 - Multivariable differentiation
Tutorial 6 - Multivariable mean value theorem
Tutorial 7 - Taylor's theorem, extreme values
Tutorial 8 - Extrema of smooth functions, Optimization using Lagrange multipliers
Tutorial 9 - Midterm solutions
Tutorial 10 - The implicit function theorem
Tutorial 11 - Smooth curves and parameterizations
Tutorial 12 - Working with surfaces
Tutorial 13 - The Riemann integral
Tutorial 14 - Multiple integrals, Switching limits of integration
Tutorial 15 - Multiple integrals, Computations
Tutorial 16 - Line integrals
Tutorial 17 - Doing computations with Green's theorem
Tutorial 18 - Surface integrals
Tutorial 19 - Gradient, Divergence, Curl, the Divergence theorem
Tutorial 20 - Stokes' theorem