Math 21a, Fall 2008
Homework page of Math 21a, Multivariable Calculus
Homework
Course head: Oliver Knill
Office: SciCtr 434

 Please change problem 24 in section 13.8 so that we compute the flux of the vector field <2x,2y,z2 and not the surface integral as given. We do not do scalar surface integrals except the surface area in this course. In problem 38 of section 11.8, there is a typo in the solution: the x-value for the minimum is put as (1/3)(50-10sqrt(3)), when it should be (1/3)(50-10sqrt(10)). Thanks to Yunhan Chen. In section 11.4, avoid differentials. It is an old fashioned term. In order to estimate a function near a point, where you know the value, evaluate the linearized function. This is the linear approximation. In the baseball problem 26 of section 10.4, the result is close. Please use g = 3.2808399 * 9.80665 = 32.174 ft/sec2 to determine whether it is a homerun or not.

 Week Lecture Number Assignment Solutions Week 1 1. Class 9.1: 8,14,18,32,34 Solutions_Week1_Lecture1.pdf Week 1 2. Class 9.2: 18,22,38 9.3: 24,40 Solutions_Week1_Lecture2.pdf Week 1 3. Class 9.4: 8,14,16,26,32 Solutions_Week1_Lecture3.pdf Week 2 1. Class 9.5: 10,30,34,48,54 Solutions_Week2_Lecture1.pdf Week 2 2. Class 9.6: 2,8,14,26,32 Solutions_Week2_Lecture2.pdf Week 2 3. Class 9.6: 12,22,34, Problems A and B Solutions_Week2_Lecture3.pdf Week 3 1. Class 10.1: 17-22,36,38, 10.2: 26,28 (36 computer part optional) Solutions_Week3_Lecture1.pdf Week 3 2. Class 10.3: 4,12,18 10.4: 12,26 Solutions_Week3_Lecture2.pdf Week 3 3. Class 9.7: 10,18,20,30,36 Solutions_Week3_Lecture3.pdf Week 4 Columbus day, no class on Monday - Week 4 2. Class 10.5: 2,11-16,22,30,Problem A Solutions_Week4_Lecture1.pdf Week 4 3. Class 11.2: 14,34 11.3: 12,66,68 Solutions_Week4_Lecture2.pdf Week 5 No homework assigned due to midterm Week 5 2. Class 11.3:62,64,72,76,82, Solutions_Week5_Lecture1.pdf Week 5 3. Class 11.4: 2,12,26,30,38 Solutions_Week5_Lecture2.pdf Week 6 1. Class 11.5: 4,26,28,32,Problem A: Solutions_Week6_Lecture1.pdf Week 6 2. Class 11.6: 34,36,42,44,Problem B: Solutions_Week6_Lecture2.pdf Week 6 3. Class 11.6: 18,24,26,28,30 Solutions_Week6_Lecture3.pdf Week 7 1. Class 11.7: 4,12,14,44,48 Solutions_Week7_Lecture1.pdf Week 7 2. Class 11.8: 6,8,12,16,38 Solutions_Week7_Lecture2.pdf Week 7 3. Class 11.8: 18,24,40b),42 Problem A Solutions_Week7_Lecture3.pdf Week 8 No homework assigned due to Veteransday Week 8 2. Class 12.2: 18,26, 12.3, 36,42,44 Solutions_Week8_Lecture1.pdf Week 8 3. Class 12.4: 8,20,24,28, 12.5: 2 Solutions_Week8_Lecture2.pdf Week 9 No homework assigned due to second hourly Week 9 2. Class 12.5: 22, 12.6: 2,8,24,28 Solutions_Week9_Lecture1.pdf Week 9 3. Class 12.7: 6,14,32,38,48 Solutions_Week9_Lecture2.pdf Week 10 1. Class 12.8: 4,8,16,32,36 Solutions_Week10_Lecture1.pdf Week 10 2. Class 13.1:24,34 13.2:18,20,42 Solutions_Week10_Lecture2.pdf Week 10 no homework assigned due to thanksgiving Week 11 1. Class 13.3: 6,16,22,26,29-32 Solutions_Week11_Lecture1.pdf Week 11 2. Class 13.4: 6,10,12,14,18 Solutions_Week11_Lecture2.pdf Week 11 3. Class 13.5: 6,10,16,26,36 Solutions_Week11_Lecture3.pdf Week 12 1. Class 13.6: 22,38,40,42, Problem A Solutions_Week12_Lecture1.pdf Week 12 2. Class 13.7: 2,8,10,14,18 Solutions_Week12_Lecture2.pdf Week 12 3. Class 13.8: 2,10,24 13.9: 32,34 Solutions_Week12_Lecture3.pdf