## Math 32A:  Calculus of Several Variables

Class Schedule

 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