Instructor: Daniel Coombs
E-mail: coombs at math dot ubc dot ca
Lectures:
Instructor: Malabika Pramanik
E-mail: malabika at math dot ubc dot ca
Lectures:
Date | Day | Note | Topics (Mon, Wed, Fri) | Topics (Friday second hour) | Book sections | |
03-Sep | Wed | Intro, coordinates, vectors, lengths, addition/scalar multiplication | 13.1, 13.2 | |||
05-Sep | Fri | Dot product, angles, projection, cross product | Eqns of lines and planes, examples | 13.3, 13.4 | 13.5 | |
08-Sep | Mon | Vector functions and space curves, parametrization | 14.1 | |||
10-Sep | Wed | Derivatives and integrals of vector functions | 14.2 | |||
12-Sep | Fri | Arc length, speed, velocity and acceleration | Examples and applications | 14.3, 14.4 | 14.4 | |
15-Sep | Mon | Functions of several variables | 15.1 | |||
17-Sep | Wed | Limits | 15.2 | |||
19-Sep | Fri | Partial derivatives, higher order derivatives | Tangent planes and linear approximations | 15.3 | 15.4 | |
22-Sep | Mon | Chain rule, directional derivatives, gradient | 15.5, 15.6 | |||
24-Sep | Wed | Quadratic approximation, examples | page 969 | |||
26-Sep | Fri | Local maxima and minima | Examples and catch-up | 15.7 | 15.1-15.7 | |
29-Sep | Mon | Lagrange multipliers, | 15.8 | |||
01-Oct | Wed | Double integrals | 16.1 | |||
03-Oct | Fri | Iterated integrals | Integrals over non-rectangular shapes | 16.2 | 16.3 | |
06-Oct | Mon | Polar coordinates | 16.4 | |||
08-Oct | Wed | Applications of double integrals | 16.5 | |||
10-Oct | Fri | Applications of double integrals | Review for test | 16.5 | up to 16.4 | |
13-Oct | Mon | NO CLASS | ||||
15-Oct | Wed | TEST 1 | on Chapter 13, 14, 15, 16.1-16.4 | |||
17-Oct | Fri | Triple integrals | Changing order of integration | 16.6 | 16.6 | |
20-Oct | Mon | Cylindrical coordinate integrals | 16.7 | |||
22-Oct | Wed | Spherical coordinate integrals | 16.8 | |||
24-Oct | Fri | Vector fields | conservative fields, potentials, examples | 17.1 | 17.1 | |
27-Oct | Mon | line integrals | 17.2 | |||
29-Oct | Wed | applications of line integrals | 17.2 | |||
31-Oct | Fri | fundamental theorem of line integrals | Green's theorem | 17.3 | 17.4 | |
03-Nov | Mon | Div and curl | 17.5 | |||
05-Nov | Wed | Div and curl, examples and identities | 17.5 | |||
07-Nov | Fri | Examples and applications | Review for test | 17.5 | ||
10-Nov | Mon | Review for test | up to 17.5 | |||
12-Nov | Wed | TEST 2 | Up to 17.5 | |||
14-Nov | Fri | Parametric surfaces | Parametric surfaces | 17.6 | 17.6 | |
17-Nov | Mon | Surface integrals | 17.7 | |||
19-Nov | Wed | examples and applications | 17.7 | |||
21-Nov | Fri | divergence theorem | Examples and applications | 17.9 | 17.9 | |
24-Nov | Mon | Stokes' theorem | 17.8 | |||
26-Nov | Wed | Examples and applications | 17.8 | |||
28-Nov | Fri | Review | Review |