Instructor: Johan Asplund, johan.asplund[at]stonybrook.edu, Office: Math Tower 3-116
Class time and location:
TuTh 11:00–12:20pm, Engineering 143
Office hours:
TuTh 12:30–1:30pm (Math Tower 3-116) and W 5:00–6:00pm (MLC via Zoom)
Recitation 1: Wed 11:00–11:55am, Humanities 3018
TA: Jiaji Cai
Recitation 2: Fri 12:30–1:25pm, Physics P127
TA: Jiaji Cai
Recitation 3: Tue 12:30–1:25pm, Library E4315
TA: Yiheng Dong
Recitation 4: Thu 3:30–4:25pm, Earth&Space 069
TA: Yiheng Dong
Syllabus: Here.
Textbook: OpenStax Calculus Vol. 3 (Free; online copy here.)
Homeworks/quiz pool: Most weeks, two homework problems and a pool of 4–6 quiz problems are assigned. The homework problems are due in the recitation the upcoming week, and one problem from the quiz pool will be given as a quiz problem in the recitation the upcoming week.
| Date | Topic | Read | HW | Quiz pool | Due |
|---|---|---|---|---|---|
| Tue Aug 26 | Vectors | 2.1, 2.2 (notes) | 2.2.88, 2.4.190 | 2.1: 6, 10 2.2: 92 2.3: 126 2.4: 186 |
Week of Sep 2 |
| Thu Aug 28 | Dot product and cross product | 2.3, 2.4 (notes) | |||
| Tue Sep 2 | Lines and planes | 2.5 (notes) | 2.5.260, 1.2.74 | 2.5: 244 1.1: 10, 34 1.2: 62, 94 |
Week of Sep 9 |
| Thu Sep 4 | Parametrizing curves | 1.1, 1.2 (notes) | |||
| Tue Sep 9 | Conic sections and quadric surfaces | 1.5, 2.6 | 1.5.268, 2.6.324 | 1.5: 256, 300 2.6: 328, 342 2.7: 364 |
Week of Sep 16 |
| Thu Sep 11 | Cylindrical and spherical coordinates | 2.7 | |||
| Tue Sep 16 | Vector-valued functions | 3.1, 3.2 | |||
| Thu Sep 18 | Arc length and curvature | 3.3 | |||
| Tue Sep 23 | Midterm review | All of the above | |||
| Thu Sep 25 | Midterm I (In class) | ||||
| Tue Sep 30 | Functions of several variables and limits | 4.1, 4.2 | 4.2.82, 4.3.158 | 4.1: 8, 16 4.2: 72, 102 4.3: 118, 142 4.4: 170 |
Week of Oct 7 |
| Thu Oct 2 | Partial derivatives and tangent planes | 4.3, 4.4 | |||
| Tue Oct 7 | The chain rule | 4.5 | |||
| Thu Oct 9 | Directional derivatives and the gradient | 4.6 | |||
| Tue Oct 14 | No class (Fall break) | 4.6.284, 4.7.334 | 4.5: 218, 246 4.6: 264, 280 4.7: 310, 312 |
Week of Oct 21 | |
| Thu Oct 16 | Maxima/minima problems | 4.7 | |||
| Tue Oct 21 | Lagrange multipliers | 4.8 | 4.8.378, 5.1.34 | 4.8: 368 5.1: 14, 30, 36 |
Week of Oct 28 |
| Thu Oct 23 | Double integrals I | 5.1 | |||
| Tue Oct 28 | Double integrals II | 5.2, 5.3 | 5.3.136, 5.4.208 | 5.2: 82 5.3: 134, 148 5.4: 182, 200 |
Week of Nov 4 |
| Thu Oct 30 | Triple integrals I | 5.4 | |||
| Tue Nov 4 | Triple integrals II | 5.5 | |||
| Thu Nov 6 | Vector fields | 6.1 | |||
| Tue Nov 11 | Midterm review | All of the above | |||
| Thu Nov 13 | Midterm II (In class) | ||||
| Tue Nov 18 | Line integrals and conservative vector fields | 6.2, 6.3 | |||
| Thu Nov 20 | Green's theorem, divergence, and curl | 6.4, 6.5 | |||
| Tue Nov 25 | Surface integrals | 6.6 | 6.2.70, 6.4.150 | 6.2: 62 6.3: 116 6.4: 146, 156 6.5: 216, 226 |
Week of Dec 2 |
| Thu Nov 27 | No class (Thanksgiving) | ||||
| Tue Dec 2 | Stokes' theorem and the divergence theorem | 6.7, 6.8 | |||
| Thu Dec 4 | Final review | All of the above | |||
| Wed Dec 10 | Final Exam: 2:15–5:00pm, TBA | ||||