Math 21a, Fall 2007
Homework page of Math 21a, Multivariable Calculus
Homework
Course head: Oliver Knill
Office: SciCtr 434

 Change homework problem 24 in 13.8 to ```---------------------------------------------------------------------------- Use the divergence theorem to compute the flux of the vector field F(x,y,z)=<(2x+2y+z^2)x, (2x+2y+z^2)y, (2x+2y+z^2)z> through the unit sphere oriented in the outward normal vector. ---------------------------------------------------------------------------- ```

 Week Lecture Number Assignment Due Solutions Week 1 1. Class 9.1: 8,10,14,16,18 Due Wed Sep 26 rsp. Thu Sep 27 Solutions_Week1_Lecture1 Week 1 2. Class 9.2: 18,22,38 9.3: 34,38 Due Fri Sep 28 rsp Tue Oct 2 Solutions_Week1_Lecture2 Week 1 3. Class 9.4: 4,14,16,26,30 Due Mon Oct 1 rsp Tue Oct 2 Solutions_Week1_Lecture3 Week 2 1. Class 9.5: 8,32,36,48,54 Due Wed Oct 3 rsp Thu Oct 4 Solutions_Week2_Lecture1 Week 2 2. Class 9.6: 2,4,10,14,32 Due Fri Oct 5 rsp Tue Oct 9 Solutions_Week2_Lecture2 Week 2 3. Class 9.6: 12,22,34, Problems A and B Due Wed Oct 10 rsp Tue Oct 9 Solutions_Week2_Lecture3 Week 3 Columbus day, no class on Monday Week 3 1. Class 10.1: 17-22,34,38, 10.2: 24,28 Due Fri Oct 12 rsp Thursday Oct 11 Solutions_Week3_Lecture1 Week 3 2. Class 10.3: 2,14,18 10.4: 6,24 Due Mon Oct 15 rsp Tuesday Oct 16 Solutions_Week3_Lecture2 Week 4 No homework assigned due to midterm Week 4 2. Class 9.7: 10,18,20,30,32 Due Fri Oct 19 rsp Tuesday Oct 23 Solutions_Week4_Lecture2 Week 4 3. Class 10.5: 4,11-16,24,32,Problem A:more details Due Mon Oct 22 rep Tue Oct 23 Solutions_Week4_Lecture3 Week 5 1. Class 11.1:22 11.2: 32 11.3: 12,64,66 Due Wed Oct 24 rsp Thursday Oct 25 Solutions_Week5_Lecture1 Week 5 2. Class 11.3:62,68,72,74,80 Due Fri Oct 26 rsp Tuesday Oct 30 Solutions_Week5_Lecture2 Week 5 3. Class 11.4: 2,4,12,26,30 Due Mon Oct 29 rsp Tuesday Oct 30 Solutions_Week5_Lecture3 Week 6 1. Class 11.5: 4,26,28,32,36 Due Wed Oct 31 rsp Thursday Nov 1 Solutions_Week6_Lecture1 Week 6 2. Class 11.6: 34,36,42,44,Problem A: Due Fri Nov 2 rsp Tuesday Nov 6 Solutions_Week6_Lecture2 Week 6 3. Class 11.6: 18,24,26,28,30 Due Mon Nov 5 rsp Tuesday Nov 6 Solutions_Week6_Lecture3 Week 7 1. Class 11.7: 2,10,12,44,48 Due Wed Nov 7 rsp Thursday Nov 8 Solutions_Week7_Lecture1 Week 7 2. Class 11.8: 4,6,10,16,38 Due Fri Nov 9 rsp Tuesday Nov 13 Solutions_Week7_Lecture2 Week 7 3. Class 11.8: 18,24,40b),42 Problem A Due Wed Nov 14 rsp Tuesday Nov 13 Solutions_Week7_Lecture3 Week 8 No class on Monday due to Veteransday Week 8 No homework assigned due to midterm Week 8 3. Class 12.2: 16,22, 12.3, 36,42,44 Due Mon Nov 19 rsp Tuesday Nov 20 Solutions_Week8_Lecture3 Week 9 1. Class 12.4: 8,20,24,28,30 Due Wed Nov 21 rsp Tuesday Nov 27 Solutions_Week9_Lecture1 Week 9 2. Class 12.5: 2,22, 12.6: 2,24,28 Due Mon Nov 26 rsp Tuesday Nov 27 Solutions_Week9_Lecture2 Week 9 No homework assigned due to Thanksgiving Week 10 1. Class 12.7: 4,12,32,44,48 Due Wed Nov 28 rsp Thursday Nov 29 Solutions_Week10_Lecture1 Week 10 2. Class 12.8: 4,8,16,32,36 Due Fri Nov 31 rsp Tuesday Dec 4 Solutions_Week10_Lecture2 Week 10 3. Class 13.1: 24,34 13.2: 18,20,42 Due Mon Dec 3 rsp Tuesday Dec 4 Solutions_Week10_Lecture3 Week 11 1. Class 13.3: 8,18,22,26,29-32 Due Wed Dec 5 rsp Thursday Dec 6 Solutions_Week11_Lecture1 Week 11 2. Class 13.4: 4,10,12,14,18 Due Fri Dec 7 rsp Tuesday Dec 9 Solutions_Week11_Lecture2 Week 11 3. Class 13.5: 6,10,14,26,36 Due Mon Dec 10 rsp Tuesday Dec 9 Solutions_Week11_Lecture3 Week 12 1. Class 13.6: 20,22,38,40,42 Due Wed Dec 12 rsp Thursday Dec 13 Solutions_Week12_Lecture1 Week 12 2. Class 13.7: 2,8,10,14,18 Due Fri Dec 14 rsp Tuesday Dec 18 Solutions_Week12_Lecture2 Week 12 3. Class 13.8: 2,12,24 13.9: 32,34 Due Mon Dec 17 rsp Tuesday Dec 18 Solutions_Week12_Lecture3
 Homework is due at the beginning of class. We do not accept electronic HW submission. If you do the homework with a word processor like LateX, print it out and submit the paper. Please staple your homework. No late homework accepted but will delete the least 3 scores for MWF sections and 2 for TTh sections. Reserve these 3 "Joker" cards for emergencies. Collaborations are welcome however you must turn in your own copy and list on it the names of your collaborators. Similarly, acknowledge the use of Mathematica. If you use Mathematica, nevertheless, write down all steps of your computation or print out the Mathematica notebook, you authored. If you can not turn in your homework because of a religious holiday like Yom Kipur, turn it in earlier or give it to a friend to turn it in. Please write legibly and indicate clearly, where a new problem starts. Try to keep the problems in order. Use words to explain your work, if necessary. Show your work. Answers without explanations are given zero points. If unable to finish a problem, indicate where you are stuck. This will help us to give partial credit. Please infom about typos, misprints. We state here corrections to the in class distributed texts as well as to the posted solutions. Each hint gives you a bonus point. The texts posted here are corrected. (+Sol) means solutions have been posted. Homework scores from individual sections will be adjusted in the end because different graders grade each section.

 Grading: Each of the 5 problems assigned per unit is worth 3 points. Course assistants are encourabled grade according to the following rubric: 3 Points. Work is completely accurate and essentially perfect. Work is thoroughly developed, neat, and easy to read. Complete sentences are used where appropriate. 2 Points. Work is good, but incompletely developed, hard to read or unexplained. Answers that are not explained may received 2 points even if correct. The work contains the right idea but is flawed. 1 Point. Work is sketchy. There is some correct work, but most of the work is incorrect. 0 Points. Work is minimal or non-existent. Solution is completely incorrect. Only the answer is given.

Questions and comments to knill@math.harvard.edu
Math21b | Math 21a | Fall 2007 | Department of Mathematics | Faculty of Art and Sciences | Harvard University