Math 32A: Calculus of Several Variables

Date  Topic  Homework

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 3space 
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: Vectorvalued functions 
14.1: 10,12,18,29,32,34,39,40,42 
4/13 
Section 14.2: Calculus of vectorvalued
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. 727731) 
14.4: 6,7,13,18,25,26,27,28 
4/20 
Midterm #1  
4/22 
Section 14.5: Motion in 3space (pp. 738740) 
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) 

6/1 
Review 

6/3 
Review 

6/6 (Mon)  Final Exam 11:302:30 Location: MS 4000A (our usual classroom) 
Sample
problems 