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 3space 
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: Vectorvalued 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 vectorvalued
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. 727731) 
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 3space (pp. 738740)  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 11:302:30 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 