Instructor: Johan Asplund, johan.asplund[at]stonybrook.edu, Office: Math Tower 3-116
Class time and location:
MW 5:00–6:20pm, Earth&Space 001
Office hours:
MW 4:00–5:00pm (Math Tower 3-116) and Tue 5:00–6:00pm (MLC via Zoom)
Recitation 1: Tue 2:00–2:55pm, Physics P130
TA: Jiaji Cai
Recitation 2: Wed 11:00–11:55am, Library N4072
TA: Aritra Chatterjee
Recitation 3: Tue 12:30–1:25pm, Physics P112
TA: Jiaji Cai
Recitation 4: Fri 2:00–2:55pm, Physics P116
TA: Adityo Mamun
Recitation 5: Wed 9:30–10:25am, Physics P116
TA: Aritra Chatterjee
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.
Midterm I Practice materials: Practice problems (solutions). Old midterm (solutions).
| Date | Topic | Read | HW | Quiz pool | Due |
|---|---|---|---|---|---|
| Mon Jan 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 Feb 2 |
| Wed Jan 28 | Dot product and cross product | 2.3, 2.4 (notes) | |||
| Mon Feb 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 Feb 9 |
| Wed Feb 4 | Parametrizing curves | 1.1, 1.2 (notes) | |||
| Mon Feb 9 | Conic sections and quadratic surfaces | 1.5, 2.6 (notes) | 1.5.268, 2.6.324 | 1.5: 300 2.6: 328, 342 2.7: 364 |
Week of Feb 16 |
| Wed Feb 11 | Spherical coordinates and vector-valued functions | 2.7, 3.1 (notes) | |||
| Mon Feb 16 | Calculus of vector-valued functions and curvature | 3.2, 3.3 (notes) | |||
| Wed Feb 18 | Midterm review | All of the above (except 3.3) | |||
| Mon Feb 23 | Snow day | ||||
| Wed Feb 25 | Midterm I (In class) (solutions) | ||||
| Mon Mar 2 | Functions of several variables and limits | 4.1, 4.2 (notes) | 4.2.82, 4.3.158 | 4.1: 8 4.2: 72, 102 4.3: 118, 142 4.4: 170 |
Week of Mar 9 |
| Wed Mar 4 | Partial derivatives and tangent planes | 4.3, 4.4 (notes) | |||
| Mon Mar 9 | The chain rule | 4.5 (notes) | 4.6.284, 4.7.334 | 4.5: 218, 246 4.6: 264, 280 4.7: 310, 312 |
Week of Mar 23 |
| Wed Mar 11 | Directional derivatives and the gradient | 4.6 (notes) | |||
| Mon Mar 16 | No class (Spring recess) | ||||
| Wed Mar 18 | No class (Spring recess) | ||||
| Mon Mar 23 | Maxima/minima problems | 4.7 | 4.8.378, 5.1.34 | 4.8: 368 5.1: 14, 30, 36 |
Week of Mar 30 |
| Wed Mar 25 | Lagrange multipliers | 4.8 | |||
| Mon Mar 30 | Double integrals I | 5.1 | 5.3.136, 5.4.208 | 5.2: 82 5.3: 134, 148 5.4: 182, 200 |
Week of Apr 6 |
| Wed Apr 1 | Double integrals II | 5.2, 5.3 | |||
| Mon Apr 6 | Triple integrals | 5.4, 5.5 | |||
| Wed Apr 8 | Midterm review | 4.1–5.5 | |||
| Mon Apr 13 | Midterm II (In class) | ||||
| Wed Apr 15 | Vector fields | 6.1 | |||
| Mon Apr 20 | Line integrals, conservative vector fields | 6.2, 6.3 | 6.2.70, 6.4.196 | 6.2: 66, 68 6.3: 116, 122 6.4: 174 |
Week of Apr 27 |
| Wed Apr 22 | Green's theorem | 6.3, 6.4 | |||
| Mon Apr 27 | Divergence and curl, surface integrals | 6.5, 6.6 | 6.5.220, 6.6.286 | 6.5: 216, 226 6.6: 274, 284 |
Week of May 4 |
| Wed Apr 29 | Stokes' theorem | 6.7 | |||
| Mon May 4 | The divergence theorem | 6.8 | |||
| Wed May 6 | Final review | All of the above | |||
| Wed May 13 | Final Exam: 5:30–8:00pm, Room TBA | ||||