| Date |
Topics covered |
Sections |
| 24/9
| Riemann sums, area between two graphs, volumes by slicing |
6.1, 6.2 |
| 26/9
| Vectors, norm, dot product |
12.2, 12.3 |
| 28/9
| Lines, vector-valued functions, velocity vector, tangent line |
12.5, 13.1, 13.2 |
| 1/10
| Cross product, equation of a plane, normal vector |
12.4, 12.6 |
| 3/10
| Functions of two variables: domain, graph, level curves |
14.1 |
| 5/10
| Partial derivatives, mixed partials |
14.3 |
| 8/10
| Chain rule, implicit differentiation, related rates |
14.5 |
| 10/10
| Directional derivative, gradient |
14.6 |
| 12/10
| Tangent plane, normal vector |
14.7 |
| 15/10
| Second derivative test, relative extrema, saddle points |
14.8 |
| 17/10
| Double integrals, iterated integrals, volume |
15.1 |
| 19/10
| Fubini's theorem |
15.2 |
| 22/10
| Double integrals in polar coordinates |
15.3 |
| 24/10
| Parametric surfaces, surface area |
15.4 |
| 26/10
| Center of gravity, centroid, triple integrals |
15.5, 15.6 |
| 31/10
| Triple integrals in cylindrical and spherical coordinates |
15.5, 15.7 |
| 2/11
| Change of variables, Jacobians |
15.8 |
| |
Study week |
|
| 12/11
| Vector fields, divergence, curl |
16.1 |
| 14/11
| Line integrals, work |
16.2 |
| 16/11
| Path independence, conservative vector fields |
16.3 |
| 21/11
| Green's theorem |
16.4 |
| 23/11
| Surface integrals |
16.5 |
| 26/11
| Flux integrals, oriented surfaces |
16.6 |
| 28/11
| Divergence theorem |
16.7 |
| 30/11
| Stokes' theorem |
16.8 |
| 3/12
| Laplace transform: definition and examples |
|
| 5/12
| Laplace transform: some more examples |
|
| 7/12
| Laplace transform: shifting theorems |
|
| 10/12
| Laplace transform: Dirac delta function |
|