Mathematics 212 Linear Algebra

Spring 2008

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Syllabus

Taught by: Professor Arnold Shilepsky, Macmillan 106, 364-3262, ashilepsky@wells.edu.

Text: Elementary Linear Algebra (9th edition), Howard Anton (required) (The applications version will be used but the other version is acceptable.)

Homework: You will do regular assignments and occasional application assignments. You should be prepared to discuss and ask questions about the homework. A teaching assistant/grader will have regular hours in the Math Clinic. I will be available to meet with you individually or in groups. You will be required to read chapters and do problems in the applications section of the book.

Grading:

Important Dates:

February 14     Graph Theory Application, p. 627 problems 1-8
February 28     Exam 1
March 13         Game Theory Application, p. 637 problems 1-5
April 3              Exam 2
May 1              Exam 3
May 8              Application of your choice (extra credit)
May 15             Final Exam (2pm)

Chapter 3: Chapter 3 will not be covered in detail since the material is done in Math 112 and 211. You should read it over before we cover chapter 4. I have included practice problems from chapter 3 at the end of the homework list.


Assignments

 

     s = do some parts        ( ) = harder and/or optional

p.6       1, 3a,c, 4a,c,d, 5b,c,d, 6, 7, 8, 9, 11, 12, 14
p.19     1, 2, 4, 5a,c, 6a,c, 7a,c, 9a,c, 10a, 12, 13, 16a, 19, 22,
               26 (find equations but do not solve), (27), 31,32
p.34    1, 2, 3a,c,e,f,h,k,l, 4a,c, 5a,b,f,g, 7b,c, 8a, 12a, 13a, 14a, 21, 32, 33
p.48    1a,b,c, 3b, 4s, 6a, 7a,c, 8, 9, 10a, 13, 14, 17, 21a, 29, 31
p.57     1-3s, 5a,c, 6a,c, 7a,c, 10, 11, 14, 21, 22
p.66    1, 4, 9, 11, 16, 18, 20, 21, 22, (24)
p.73    1, 2, 3, 4, 5, 7, 8a, 10, 12, 13A, 14a, 15, 18
p.117  1s, 2s, 3, 7, 8, 13, 17, 18, (20), 23
p.101  1b, 2s, 3, 4, 8, 12, 13, 14a
p.109  1, 2, 3, 4s, 5s, 6, 12, 14, 15, 16, 20, 22
p.94   1, 2s, 3s, 4, 5, 9, 11, 16, 17(solve for y only), (22), 25, (27), (29)

Complete Chapter 3 before this time.

p.178  1s, 2, 4, 5s, 6s, 7, 9s, 10, 11s, 14s, 15a, 17s, 18a, 19, 34
p.193  1, 2a, 3, 4s, 5a, 6a,d, 7a, 8b, 9b, 11b, 12s, 13a, 16a,c, 20a,c, 29
p.206   1s, 2a,d, 3, 5a,b, 6a, 7s, 9, 12a, 13a, 16a,b, 18a, 22, 25
p.226  1, 3, 4, 5, 6, 7, 8, 9, 10, (11), 13, 27, 29, 30
(In each problem above that is not a vector space, give a specific example with numbers for which one of the axioms fails.)
p.238  1, 2a,c, 3a,b, 4b,c, 5a,c, 7a,c, 8b,c, 9a, 11a,b, 13, 14bc, (21), (23), 26
p.248  1-4s, 6a, 7a, 10, (11), 12, (13), 15, 19, 20a, (22), 23, 24
p.263  1-4s, 5, 7a, 8a, 9a, 10, 11,13, 14, 19, 20, 23, 28, (32)
p.276  1, 2a,b, 3a,b, 4, 5a, 6a,c, 7, 8a,c, 9a,c, 10a,c, 11s, 12a
p.288  1, 2s, 3s, 4, 5, 7, 8
p.304  1a,b,d, 2a,b,d, 3a, 4a, 5, 7a, 8a, 9, 10, 16s, 20
p.315  1s, 4a, 6a, 8, 10a, 12a, 13a, 16, 19, 20
p.367  1a,b,d, 2a,b,d, 3a,b,d, 4a, 5a, 6a, 10s, 15


CHAPTER 3 PROBLEMS

p.130  1s, 2s, 3s, 4, 6s, 8, 11
p.134  1s, 2s, 3s, 6, 7
p.142  1-6s, 8, 9s, 16, (18)
(p.147  1s, 2s, 3s, 7)
(p.155  1s, 3s, 4s, 5s, 6a, 7a, 8a, 17)