Harvard University,FAS
Fall 2004

Mathematics Math21b
Fall 2004

Linear Algebra
and Differential Equations

Course Head: Oliver knill
Office: SciCtr 434
Email: knill@math.harvard.edu
New Syllabus Calendar Homework Exams Exhibits Handouts Cas Faq Links

Homework

All solutions in one file These solutions are "least square solutions" ... Please report errors and typos.


1. Week (Solutions)
MWF class book problem                  due

Mon 9/27  1.1  10,12,20,24,38b,26*,36*  9/29
Wed 9/29  1.2  6,10,18,20,30,32*,38*   10/1
Fri 10/1  1.3  4,14,34,48,50,26*,46*   10/4
TTh class book problem                  due
The 9/28  1.1  10,12,20,24,38b,26*,36*  9/30
          1.2  6,10,                   
Thu 9/30  1.2        18,20,30,32*,38*  10/5
          1.3  4,14,34,48,50,26*,46*  
2. Week (Solutions)
MWF class book problem                      due

Mon 10/4  2.1  6,14,28,42,44,34*,(24-30)*   10/6
Wed 10/6  2.2  4,8,10,30,34,47*,50*         10/8
Fri 10/8  2.3  10,20,30,40*,42*             10/13
          2.4  14,28,40*,72*                 
TTh class book problem                      due

The 10/5  2.1  6,14,28,42,44,34*,(24-30)*   10/7
          2.2  4,8,
Thu 10/7  2.2      10,30,34,47*,50*         10/12
          2.3  10,20,30,40*,42*         
          2.4  14,28,40*,72*
3. Week (Solutions)
MWF class book problem                   due

Columbus  day                    
Wed 10/13 3.1  10,22,34,44,54,38*,48*    10/15
Fri 10/15 3.2  6,18,24,28,48,36*,38*     10/18
TTh class book problem                   due

Tue 10/12 3.1  10,22,34,44,54,38*,48*    10/14
Thu 10/14 3.2  6,18,24,28,48,36*,38*     10/19
4. Week (Solutions)
MWF class book problem                   due

Mon 10/18 3.3  22,24,32,38,52,36*,56*    10/20
Wed 10/20 3.4  2,14,16,22,26,32*,38*     10/22
Fri 10/22 4.1  6-11,36,48,58,44*,12*-15* 10/24 
TTh class book problem                   due

Tue 10/19 3.3  22,24,32,38,52,36*,56*    10/21
          3.4  2,14,
Thu 10/21 3.4       16,22,26,32*,38*     10/26
          4.1  6-11,36,48,58,44*,12*-15* 
5. Week (Solutions)
MWF class book problem                   due

Mon 10/25      REVIEW                               
Wed 10/27      EXAM
Fri 10/29 5.1  6,10,16,20,28,38*,14*     11/1

TTh class book problem                   due

Tue 10/26      REVIEW
Thu 10/28 5.1  6,10,16,20,28,38*,14*     11/1
6. Week (Solutions)
MWF class book problem                   due

Mon 11/1  5.2  2,14,16,34,40,42*         11/3
Wed 11/3  5.3  6,8,16,20,40,18*,44*      11/5
Fri 11/5  5.4  2,10,22,34,40,16*,18*     11/8
TTh class book problem                   due

Tue 11/2  5.2  2,14,16,34,40,42*         11/4
          5.3  6,8,       
Thu 11/4  5.3      16,20,40,18*,44* 
          5.4  2,10,22,34,40,16*,18*     11/9
7. Week (Solutions)
MWF class book problem                 due

Mon 11/8  6.1  8,18,34,40,44,42*,56*   11/10
Wed 11/10 6.2  6,8,16,42,18*,44*       11/12
          6.3  14
Fri 11/12 7.1  38,50,                  11/15
          7.2  8,28,38,25*,26*                      
TTh class book problem                 due

Tue 11/9  6.1  8,18,34,40,44,42*,56*   11/16
          6.2  6,8,42,50,18*,44*
          6.3  14
         
Thu 11/11 7.1  38,50,                  11/16
          7.2  8,28,38,25*,26*
8. Week (Solutions)
MWF class book problem                   due

Mon 11/15 7.3  8,16,20,28,42,38*,46*     11/17
Wed 11/17 7.4 14,20,26,36,54,58*,56*     11/19
Fri 11/19 7.5  8,12,24,32,38,60*,36*     11/22
TTh class book problem                   due

Tue 11/16  7.3  8,16,20,28,42,38*,46*     11/18
           7.4 14,20

Thu 11/18  7.4 26,36,54,58*,56* 
           7.5  8,12,24,32,38,60*,36*     11/23
9. Week (Solutions)
MWF class book problem                   due

Mon 11/22 7.6  8,20,42,38*,46*           Wed 11/24 
          8.1 10,24,6*,56*               or  11/29
TTh class book problem                   due

Tue 11/23 7.6  8,20,42,38*,46*           Thu 11/30
          8.1 10,24,6*,56*         
10. Week (Solutions)
MWF class book problem                  due

Mon 11/29 9.1  4,8,10,26,32,24*,46*     Fr 12/3  

Fr  12/3  9.1  54 & 9.2:12,18,22-26,34  Mo 12/6
TTh class book problem                  due

Tue 11/30 9.1  4,8,10,26,32,24*,46*     12/2 

Th  12/2  9.1  54 & 9.2: 12,18,22-26,34 12/7
11. Week ( Solutions to appendix) (Rest of Solutions)
MWF class book problem                  due

Mon 12/6  (handout) 1,2,3,4,5*          12/8
Wed 12/8  4.2  28,40,34,58,66,78*       12/10

Fri 12/10 9.3  6,28,34,42,44,16*,20*    12/13
TTh class book problem                  due

Tue 12/7  (handout) 1,2,3,4,5*          12/9

Thu 12/9  4.2  28,40,34,58,66,78*  
          9.3  6,28,34,42,44,16*,20*    12/14
12. Week (Solutions)
MWF class book problem                       due

Mon 12/13  (HW handout) 1,2,3,4,5            12/15

Wed 12/15  (HW handout) 1,2,3,4              12/17

Fri 12/17  (PDE handout) 1,2,3,4,5           12/21
TTh class book problem                       due

Tue 12/14  (HW handout) 1,2,3,4,5            12/16
   
Thu 12/16  (HW handout) 1,2,3,4              12/21

           (PDE handout) 1,2,3                 12/21
  • The Tue/Thu section has the same homework but splitted at a different place.
  • Homework is due at the beginning of class.
  • 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, not required.
Want to think about more challenging problems: Look here




Please send comments to knill@math.harvard.edu


Sun Jan 23 23:10:54 EST 2005