| Lecture | Date | Topic | Section
|
| 1 | Tue 9/1 | General remarks,
parametric curves | 9.1
|
| 2 | Thu 9/3 | Calculus with parametric curves | 9.2
|
| 3 | Tue 9/8 | Polar coordinates | 9.3, 9.4
|
| 4 Q | Thu 9/10 | 3-dimensional space
and vectors | 10.1, 10.2
|
| 5 | Tue 9/15 | Dot product | 10.3
|
| 6 Q | Thu 9/17 | Cross product | 10.4
|
| 7 | Tue 9/22 | Lines and planes | 10.5
|
| 8 Q | Thu 9/24 | Cylinders and quadric surfaces | 10.6
|
| --- | Tue 9/29 | No class (Monday schedule) | ---
|
| 9 | Thu 10/1 | Calculus of vector functions | 10.7
|
| 10 Q | Tue 10/6 | Arclength, curvature
and Motion | 10.8, 10.9
|
| 11 | Thu 10/8 | Review I | ---
|
| 12 | Tue 10/13 | Midterm I | ---
|
| 13 | Thu 10/15 | Functions of several
variables, limits and continuity | 11.1, 11.2
|
| 14 | Tue 10/20 | Partial derivatives | 11.3
|
| 15 Q | Thu 10/22 | Derivatives and Linear approximations | 11.4
|
| 16 | Tue 10/27 | Chain rule | 11.5
|
| 17 Q | Thu 10/29 | Directional derivative
and the gradient | 11.6
|
| 18 | Tue 11/3 | Critical points and extrema | 11.7
|
| 19 Q | Thu 11/5 | Double integrals over rectangles | 12.1
|
| 20 | Tue 11/10 | Double integrals over
general regions | 12.2
|
| 21 | Thu 11/12 | Review II | ---
|
| 22 | Tue 11/17 | Midterm II | ---
|
| 23 | Thu 11/19 | Double integrals in
polar coordinates | 12.3
|
| 24 Q | Tue 11/24 | Applications of double
integrals | 12.4
|
| --- | Thu 11/26 | No class (Thanksgiving) | ---
|
| 25 | Tue 12/1 | Triple integrals | 12.5
|
| 26 Q | Thu 12/3 | Triple integrals in
cylinderical coordinates | 12.6
|
| 27 | Tue 12/8 | Triple integrals in spherical coordinates | 12.7
|
| 28 | Thu 12/10 | Review III | ---
|