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
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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.
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WeekLecture NumberAssignmentDueSolutions
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.
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  • 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.
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  • 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