MATH
21 B
Mathematics Math21b Spring 2009
Linear Algebra and Differential Equations
Homework
Course Head: Oliver Knill
Office: SciCtr 434
  • Homework is always due the next class. Exceptions can happen around midterms.
  • The Tue/Thu section has the same homework but splitted at a different place.
  • Homework is due at the beginning of class. We have a strict no late HW policy but you can use 3 jokers throughout the semester (as in 21a last semester).
  • Collaborations are welcome however you must turn in your own copy and list on it the names of your collaborators.
  • Use words to explain your work, if necessary. Show your work.
  • A star * after a problem indicates that the problem is recommended only. You don't turn it in, nor will it be graded. True/False problems are also optional. You do not turn it in. If two problems are bracketet [14,24], it means that both together count as one problem.
  • Homework is graded on a 10 points scale. There are 5 problems per day, 50 points maximal per day and 150 points maximal a week.
Homework rule: We have a strict no late homework policy. Homework is due in class. In case of illness (bring documentation from the Harvard University health service) we will average with less HW sets in this case. In case of nondocumented illness, or forgotten homework, a jokers is invoked. Please do not ask for homework extension.
To problem 42 in section 1.2.
Week Lecture Number Assignment
Week 1 lecture 1 1.1: 10,24,40,46,48,28*,36* TF4,23* Due Wed 2/4 rsp Thu 2/5 Solutions
Week 1 lecture 2 1.2: 6,12,18,30,42,32*,20* TF6,44* Due Fri 2/6 rsp Tue 2/10 Solutions
Week 1 lecture 3 1.3: [12,14],28,34,48,62,26*,46* TF23,41* Due Mon 2/9 rsp Tue 2/10 Solutions
Week 2 lecture 4 2.1: 6,14,24-30,42,44,34*,52* TF5,6* Due Wed 2/11 rsp Thu 2/12 Solutions
Week 2 lecture 5 2.2: 6,8,28,30,34,47*,36*TF14,37* Due Fri 2/13 rsp Tue 2/17 Solutions
Week 2 lecture 6 2.3: 14,30,[46,48],40*,42*, 2.4: 12,44,28*,72* TF26,49* Due Wed 2/18 rsp Tue 2/17 Solutions
Week 3 no lecture presidents day
Week 3 lecture 7 3.1: [12,20],34,42,44,54,38*,48* TF8,50* Due Fri 2/21 rsp Thu 2/20 Solutions
Week 3 lecture 8 3.2: 20,28,32,40,48,36*,38* TF16,24* Due Mon 2/23 rsp Tue 2/24 Solutions
Week 4 lecture 9 3.3: 18,26,32,38,50,36*,56* TF2/6* Due Wed 2/25 rsp Thu 2/26 Solutions
Week 4 lecture 10 3.4: 8,18,42,50,60,32*,26* TF24/34* Due Fri 2/27 rsp Tue 3/3 Solutions
Week 4 lecture 11 4.1: 6-8,9-11,36,48,58,44*,12*-15* TF2/18* Due Mon 3/2 rsp Tue 3/3 Solutions
Week 5 review no homework for Wednesday rsp Thursday
Week 5 lecture 12 4.1: 3-4,14,38,50,52,42*,56* TF18/30* Due Fri 3/7 rsp Tue 3/11 Solutions
Week 5 lecture 13 5.1: 8,16,18,20,28,38*,14* TF5/14* Due Mon 3/10 rsp. Tue 3/11 Solutions
Week 6 lecture 14 5.2: 12,14,18,34,40,44*36* TF29/48* Due Wed 3/11 rsp Thu 3/12 Solutions
Week 6 lecture 15 5.3: 5-8,9-11,13-16,17-20,40,48*,46* TF22*23* Due Fri 3/13 rsp Tue 3/17 Solutions
Week 6 lecture 16 5.4: 4,10,22,34,40,20*,18* TF24*18* Due Mon 3/16 rsp Tue 3/17 Solutions
Week 7 lecture 17 6.1: 38,40,44,48,56,54*,60* TF4*,30* Due Wed 3/18 rsp Thu 3/19 Solutions
Week 7 lecture 18 6.2: 8,10,38,66,50*,44* and 6.3: 12 TF32*,34* Due Fri 3/20 rsp Tue 3/31 Solutions
Week 7 lecture 19 7.1: 12,36 and 7.2: 12,28,38,25*,26* TF6*,20* Due Mon 3/30 rsp Tue 3/31 Solutions
Week 8 lecture 20 7.3: 14,18,20,28,44,32*,36* TF25*,51* Due Wed 4/1 rsp Thu 4/2 Solutions
Week 8 lecture 21 7.4: 16,28,36,50,54,58*,56* TF23*,29* Due Fri 4/4 rsp Tue 4/8 Solutions
Week 8 lecture 22 7.5: 2(but for z6),16,26,32,38,50*,36* TF11*,41* Due Mon 4/6 rsp Tue 4/7 Solutions
Week 9 review no homework
Week 9 lecture 23 7.6: 8,14,20,34,42, 38*,42* TF*: A stable implies AT stable Due Fri 4/10 rsp Tue 4/14 Solutions
Week 9 lecture 24 8.1: 6,10,24,28,42,36*,26* TF15*,16* Due Mon 4/13 rsp Tue 4/14 Solutions
Week 10 lecture 25 9.1: 30,34,40,42,54,24*,46* Due Wed 4/15 rsp Thu 4/16 Solutions
Week 10 lecture 26 9.2: 12,18,22-26,34,40,36* TF 19* Due Fri 4/17 rsp Tue 4/21 Solutions
Week 10 lecture 27 9.4: 1,2,3,4,5 in handout Due Monday 4/20 rsp Tue 4/21 Solutions
Week 11 lecture 28 4.2: 30,56,60,66,78* Section 9.3: 6 TF44*58* (p.185) Due Wednesday 4/22 rsp. Thu 4/23 Solutions
Week 11 lecture 29 9.3: 18,28,34,40,44,36*,20* Due Friday 4/24 rsp Tue 4/28 Solutions
Week 11 lecture 30 5.5: 4,10,16,22,34,20* Due Monday 4/27 rsp Tue 4/28 Solutions
Week 12 lecture 31 Handout: problems 1-3 Due Tue 5/5 in mailbox of CA Solutions
Week 12 lecture 32 Handout: problems 4-5 Due Tue 5/5 in mailbox of CA Solutions
Week 12 lecture 33 Handout: problems 6-10 Due Tue 5/5 in mailbox of CA Solutions
Please send questions and comments to math21b@fas.harvard.edu
Math21b (Exam Group 1)| Oliver Knill | Spring 2009 | Department of Mathematics | Faculty of Art and Sciences | Harvard University