Math 32A: Calculus of Several Variables
|
| Date | Topic | Homework
|
| 4/3 (Mon) | Section 13.1: Vectors in the plane |
13.1: 4,14,19,24,28,42,44,62,63 |
| 4/5 (Wed) | Section 13.2: Vectors in three dimensions |
13.2: 10,21,26,34,40,42,43,50 |
| 4/7 (Fri) | Section 13.3: Dot product |
13.3: 9,13,16,24,33,34,44,47,55,67,77,84 |
| 4/10 |
Section 13.4: Cross
product |
13.4: 5,11,21,33,45,46,51,59 |
| 4/11 or 4/13 |
Quiz
in discussion (on HW from 4/3, 4/5, 4/7) |
|
| 4/12 |
Section 13.5: Planes in 3-space |
13.4: 39 13.5: 3,10,17,22,27,40,50,57,76 |
| 4/14 |
Section 12.1: Parametric equations |
12.1: 5,11,14,21,28,37,51,54,63 |
| 4/17 |
Section 14.1: Vector-valued functions |
14.1: 10,12,18,29,32,33,39,40,42 |
| 4/18 or 4/20 |
Quiz
in discussion (on HW from 4/10, 4/12, 4/14) |
|
| 4/19 |
Section 14.2: Calculus of vector-valued
functions |
14.2: 3,6,9,12,16,22,26,34,52,56,57 |
| 4/21 |
Section 14.3: Arc length and speed |
14.3: 3,4,7 (also review how to do the integral given in the hint),10,14,26,31,37 |
| 4/24 |
Section 14.4: Curvature (pp. 727-731) |
14.4: 5,7,13,17,25,26,27 |
| 4/25 or 4/27 |
Quiz
in discussion (on HW from 4/17, 4/19, 4/21) |
|
| 4/26 |
Section 14.5: Motion in 3-space (pp. 738-740) | 14.5: 5,8,15,16,19,21,26 |
| 4/28 |
Section 15.1: Function of two or more variables | 15.1: 12,19,23,25,30,33,36 |
| 5/1 |
Section 13.6: A survey of quadric surfaces | 13.6: 25,26,27,28,29,30,38 15.1: 53,55 |
| 5/2 or 5/4 |
No quiz this week |
|
| 5/3 |
Review |
|
| 5/5 |
Midterm Exam |
Sample
problems Brief
solutions to the sample problems |
| 5/8 |
Section 15.2: Limits and continuity | 15.2: 3,6,11,14,15,20,21,30,41,42 |
| 5/9 or 5/11 |
No quiz this week |
|
| 5/10 |
Section 15.3: Partial derivatives | 15.3: 12,13,20,23,35,57,60,64,65,71 |
| 5/12 |
Section 15.3: More on partial derivatives Section 15.4: Differentiability and tangent planes |
15.3: 48,49,73,74,76,79 15.4: 3,8,9,11 |
| 5/15 |
Section 15.4: More on differentiability and tangent planes | 15.4:
13,17,25,32,37,38 |
| 5/16 or 5/18 |
Quiz
in discussion (on HW from 5/8, 5/10, 5/12) |
|
| 5/17 |
Section 15.5: Gradient and directional derivatives, Day I | 15.5: 4,5,7,10,15,19 |
| 5/19 |
Section 15.5: Gradient and directional derivatives, Day II | 15.5: 21,27,29,33,35,36,41,45,48 |
| 5/22 |
Section 15.6: Chain rule, Day I | 15.6: 3,6,9,12,15,17 |
| 5/23 or 5/25 |
Quiz
in discussion (on HW from 5/15, 5/17, 5/19) |
|
| 5/24 |
Section 15.6: Chain rule, Day II |
15.6: 20,21,23,24 (consult p.696),26,29,41 |
| 5/26 |
Section 15.7: Optimization, Day I | 15.7: 2,3,7,8,11,13,18,21 |
| 5/29 |
University Holiday (Memorial Day) | |
| 5/30 or 6/1 |
Quiz
in discussion (on HW from 5/22, 5/24, 5/26) |
|
| 5/31 |
Section 15.7: Optimization, Day II | 15.7: 28,34,35,37,40,43,48 (you must use the hint),54 |
| 6/2 |
Section 15.8: Lagrange multipliers, Day I | 15.8: 1,6,9,14,17,19 |
| 6/5 |
Section 15.8: Lagrange multipliers, Day II | 15.8: 22,27,29,30,33,42,43 |
| 6/6 or 6/8 |
No quiz this week |
|
| 6/7 |
Review |
|
| 6/9 |
Review |
|
| 6/12 (Mon) | Final
Exam 11:30-2:30 Location: Humanities 169 if your TA is Chris Hunt Humanities A51 if your TA is Max Zhou or Yilong Yang |
Sample
problems Solutions to the sample problems |