Math 32A: Calculus of Several Variables
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| Date | Topic | Homework
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| 3/28 (Mon) | Section 13.1: Vectors in the plane |
13.1: 4,14,19,24,28,42,44,62,63 |
| 3/30 (Wed) | Section 13.2: Vectors in three dimensions |
13.2: 10,21,26,34,40,42,50 |
| 4/1 (Fri) | Section 13.3: Dot product |
13.3: 9,13,16,24,33,34,44,47,55,77,84,86 |
| 4/4 |
Section 13.4: Cross
product |
13.4: 5,11,16,20,33
(give an explanation),36,46,51,59 |
| 4/6 |
Section 13.5: Planes in 3-space |
13.5: 4,10,18,22,27,40,50,58,76 |
| 4/8 |
Section 12.1: Parametric equations |
12.1: 5,9,14,21,28,38,52,54,62 |
| 4/11 |
Section 14.1: Vector-valued functions |
14.1: 10,12,18,29,32,34,39,40,42 |
| 4/13 |
Section 14.2: Calculus of vector-valued
functions |
14.2: 3,6,8,12,16,19,26,34,35,52,57 |
| 4/15 |
Section 14.3: Arc length and speed |
14.3: 3,4,6,10,14,24,26,30 |
| 4/18 |
Section 14.4: Curvature (pp. 727-731) |
14.4: 6,7,13,18,25,26,27,28 |
| 4/20 |
Midterm #1 | |
| 4/22 |
Section 14.5: Motion in 3-space (pp. 738-740) |
14.5: 6,8,15,16,19,21,26 |
| 4/25 |
Section 15.1: Function of two or more variables | 15.1: 4,12,17,19,23,25,30,33,36 |
| 4/27 |
Section 13.6: A survey of quadric surfaces | 13.6: 25,26,27,28,29,30,38 15.1: 52,54 |
| 4/29 |
Section 15.2: Limits and continuity |
15.2: 3,6,10,14,16,20,30,41 |
| 5/2 |
Section 15.3: Partial derivatives |
15.3: 12,13,20,23,36,57,60,64,65,71 |
| 5/4 |
Section 15.3: More on partial derivatives Section 15.4: Differentiability and tangent planes |
15.3: 48,49,73,74,76,79 15.4: 2,4,8,9,11 |
| 5/6 |
Section 15.4: More on differentiability and
tangent planes |
15.4: 13,18,26,32,37,38 |
| 5/9 |
Section 15.5: Gradient and directional derivatives, Day I | 15.5:
2,4,5,8,10,15,20 |
| 5/11 |
Section 15.5: Gradient and directional derivatives, Day II | 15.5: 21,26,27,32,34,36,41,46,48 |
| 5/13 |
Section 15.6: Chain rule, Day I | 15.6: 3,6,9,12,15 |
| 5/16 |
Midterm #2 |
|
| 5/18 |
Section 15.6: Chain rule, Day II |
15.6: 20,21,22,23,24 (consult p. 696),30,34 Problem 20 appeared twice on the list and was deleted (5/20). |
| 5/20 |
Section 15.7: Optimization, Day I | 15.7: 2,3,7,8,11,13,18,22 |
| 5/23 |
Section 15.7: Optimization, Day II | 15.7: 28,31,34,35,37,40,44,48(you must use the
hint),54 This week's HW is due Wed 6/1. |
| 5/25 |
Section 15.8: Lagrange multipliers, Day I | 15.8: 1,2,6,10,12,14,17,19 |
| 5/27 |
Section 15.8: Lagrange multipliers, Day II | 15.8: 22,27,29,30,33,42,43 |
| 5/30 |
University Holiday (Memorial Day) |
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| 6/1 |
Review |
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| 6/3 |
Review |
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| 6/6 (Mon) | Final Exam 11:30-2:30 Location: MS 4000A (our usual classroom) |
Sample
problems |