Math 300
This is a course on mathematical structures. See the course
syllabus for details on the specific topics
to be covered.
Required text:
How to Prove It, by Daniel J. Velleman.
Midterm exams are held in the Mathematics Department Testing Center. No books, notes or calculators are permitted. You must
bring your ASU Suncard with you to the testing center.
The following is a list of exercises from the text that should be
completed as part of your preparation for the tests. A subset of these problems will be collected in class,
typically on Tuesdays.
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Chapter 1 1.1:
1, 2, 3, 5, 7 1.2:
1, 2, 4, 7, 8,
11, 12, 16, 17, 18 1.3:
2, 5, 6, 7, 8 1.4:
4, 5, 6, 7, 10, 11 1.5: 2, 3, 4, 5, 10 |
Chapter 2 2.1:
1, 2, 4, 5, 7, 8 2.2:
1, 2, 3, 7, 8, 9, 12 2.3:
3, 6, 9,
11, 12, 15 |
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Chapter 3 3.1:
3, 8, 9, 12, 15, 16 3.2:
2, 4, 5, 11, 12,
17 3.3: 5, 14, 20, 23, 25 3.4:
2, 3, 8, 11, 12, 15, 24, 25 3.5:
7, 10, 26,
27, 29 3.6:
1, 2, 9 3.7:
1, 6, 7, 8, 9 |
Chapter 4 4.1: 3, 6, 9, 10, 12 4.2:
4, 5, 7, 9, 11, 12 4.3:
2, 5, 12, 13, 14, 16, 17, 18, 22 4.4:
1, 2, 3, 8,
10, 13, 17, 22 see the supplement on Hasse diagrams 4.5:
1, 2, 3, 17, 19 4.6:
2, 3, 4, 6, 8,
10, 11, 13 |
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Chapter 5 5.1:
1, 2, 6, 7, 11,
17, 18, 19 5.2:
1, 2, 5, 6, 8, 10 5.3:
3, 7, 8,
11 5.4: 1, 2, 3, 4, 5 |
Chapter 6 6.1:
2, 4, 11, 12, 14 6.2: 5, 10, 13, 16 6.3: 3, 6, 15, 16, 18, 19 6.4: 7, 11, 16, 17,
18, 19
see the supplement on induction |
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Chapter 7
see the auxiliary homework on counting 7.1: 1, 2, 3abc, 4, 11, 12, 15, 24, 27 7.2: 1, 3, 4 7.3: 1, 4, 7 |
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