Math 237: Calculus 3 for Honours Math

• Notes on scalar functions; examples of graphs.
• Suggestions for computing limits.
• Last two examples from Monday's lecture.
• Monday, 26 Sept, Lecture.
• Monday, 3 Oct, Lecture.
• Wednesday and Friday, 5 and 7 Oct, Lectures.
• Suggestions for Assignment 3.
• Suggestions on how to test differentiability.
• More examples of the Chain Rule.
• Directional derivatives.
• Suggestions for using Taylor's Theorem.
• Suggested problems for the midterm.
• Solutions to some of the suggested problems.
• Extreme Value Theorem.
• Lagrange multipliers.
• Suggestions for solving optimisation problems.
• Examples of regions in polar coordinates.
• Examples of regions in cylindrical and spherical coordinates.
• Suggestions for finding the image of a mapping.
• Computing double iterated integrals.
• Change of variable -- double integrals.
• Suggestions for computing triple integrals. See solutions to the suggested triple integrals for examples.
• Suggested triple integrals
• Solutions to the suggested triple integrals: colour, black and white
• Suggested problems for the final