Mathematics 307: Theory of Matrices
Instructor: Jonathan Smith, 496 Carver, 4-8172
e-mail: jdhsmithATmathDOTiastateDOTedu (substitute punctuation)
Grading: 20% for each of 5 in-class tests.
Study plan: reserve 1 - 2 hours for homework between each pair
of classes. Successful
performance in the class depends critically on completion of the homework
assignments.
Textbook: O. Bretscher, Linear Algebra, Prentice-Hall, ISBN 0-13-190729-8
Syllabus: Chapter 1 to middle of Chapter 7.
Assignments
8/21 for 8/23: 1.2: 15, 13, 14, 3, 7, 6
8/23 for 8/25: 1.3: 3, 2, 4, 1, 23, 22, 31, 30
8/25 for 8/28: 1.3: 16 - 19, 27, 34, 35, 37, 55, 57
8/28 for 8/30: 2.1: 4 - 7, 32, 43
8/28 for hand-in 8/30, returned 9/1: 1.3 #27, 2.1 #6, #42
8/30 for 9/1: 1.3 #47, #48(a)(b), 2.2 #33
9/6 for 9/8: 2.3: 1, 3, 2, 5, 7, 17, 16 . 2.1 #15, 2.3 #33
9/8 for 9/11: 2.2: 2, 5, 32, 43
Practice Test #1: 1.2#11, 1.3#32 (justify your answer), 2.3#19,
2.2#39
Click here for Test #1 in Portable
Document Format
9/15 for 9/18: 2.4: 1, 3, 4, 11, 10
9/18 for 9/20: 2.4: 15 - 25 (odd) (justify answers!), 31, 40
9/20 for 9/22: 3.1: 11, 10, 13, 15, 16
9/22 for 9/25: 3.2: 15, 17, 10, 14, 35, 39, 43
9/25 for 9/27: 3.2: 1, 3, 2, 4, 23, 7
9/27 for 9/29: 3.2: 33, 28, 30, 46
Practice Test #2: 3.3 #8 (just basis), #20 (just basis), 2.4#36,
3.2#36, 3.2#50 (just first part)
Click here for Test #2 in Portable
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10/4 for 10/6: 3.3: 21, 36
10/6 for 10/9: 4.1: 1, 3, 2, 5 - 8, 10 - 12
10/9 for 10/11: 4.1: 22, 17
10/11 for 10/13: 4.1: 27, 28, 21
10/13 for 10/16: 4.2: 1 - 9 (odd), 33
10/16 for 10/18: 4.4: 21 - 25 (odd, just least squares solution),
31
Practice Test #3: 4.1#16, 4.1#26, 4.2#34, 4.4#32 (no sketch)
Click here for Test #3 in Portable
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10/23 for 10/25: 5.1: 1 - 6, 9, 13, 17, 18
10/25 for 10/27: 5.2: 1, 3, 9, 11, 13, 16, 21
10/27 for 10/30: 6.2: 1 - 15 (odd)
10/30 for 11/1: 6.3: 1, 3, 5, 7, 11, 13, 15
11/1 for 11/3: 7.2: 1, 3, 7, 11, 5
11/3 for 11/6: 7.2: 40, 39, 43 - 45, 50, 62(b)
11/6 for 11/8: 4.3: 5, 9, 11, 13, 2
11/8 for 11/10: 4.3: 6, 7, 14, 17, 18
11/10 for 11/13: 7.3: 7, 11, 10, 14
Practice Test #4: 5.2#10, #12, #14, 7.2#6, 4.3#16 (justify your
answer), 7.3#8
Click here for Test #4 in Portable
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11/17 for 11/27: 7.1: 1, 2, 11, 10, 17
11/27 for 11/29: 7.4: 1, 3, 15, 17, 19
11/29 for 12/1: 6.3#40, 7.2#35 (no sketch). Also:
In year 0, an island has r(0) = 500 rabbits and
f(0) = 20 foxes.
The numbers r(n) of rabbits and f(n)
of foxes in year n are given in terms of the
populations one year earlier by the following equations:
r(n) = 1.2 r(n-1) - 0.6 f(n-1)
f(n) = 0.2 r(n-1) + 0.4 f(n-1)
.
Find explicit formulas for r(n) and
f(n) . Determine the ultimate fate of the population.
Practice Test #5: 7.1#15, 7.4#18, 6.2#27(a)
( x0 = e1 only, no sketch)
Click here for Test #5 in Portable
Document Format