Lectures run on Mondays, Wednesdays and Thursdays from Thursday the 4th of September to Wednesday the 3rd of December. Monday the 13th and Thursday the 30th of October are holidays. This leaves us with 37 lectures, which we will number 0-36; see bottom of page for conversion to dates.
With this notation, here is a rather rough estimate of the order in which we will cover topics, the number of lectures devoted to each, and hence the lecture numbers devoted to them. Also indicated are estimates for the dates of the midterms, which will take place in-class during lecture slots.
This is very much subject to change as the term progresses.
| Topic | Textbook sections | No. Lectures | Lectures |
|---|---|---|---|
| Introduction | [] | 1 | 0 |
| Functions of several variables, differentiation thereof | 2.1-2.7 | 6 | 1-6 |
| Taylor's formula and optimisation problems | 4.1-3 | 4 | 7-10 |
| Constrained optimisation; Lagrange multipliers | 4.4 | 2 | 11-12 |
| Midterm 1 | [] | 1 | 13 |
| Parametrised curves | 3.1-3.4, 5.1 | 4 | 14-17 |
| Path integrals | 5.2-5.4,4.6 | 5 | 18-22 |
| Multiple integrals; change of variables formula | 6.1-6.5,2.8 | 4 | 23,25-28 |
| Midterm 2 (on constrained optimisation, parametrised curves, and path integrals) | [] | 1 | 24 |
| Parametrised surfaces and surface integrals | 7.1-7.5 | 3 | 29-31 |
| Green's, Gauss's, and Stokes' theorems | 8.1-8.3 | 5 | 32-36 |
ass1: due 26 Sep, covering lecs 1-6
ass2: due 10 Oct, covering lecs 7-12
ass3: due 29 Oct, covering lecs 13-19
ass4: due 14 Nov, covering lecs 20-26
ass5: due 3 Dec, covering lecs 27-34