Math 307
Introduction to Proof
"A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas."
-- G. H. Hardy
Midterm: October 28
Topics covered: chapters 1-3 (excluding completeness axiom) and base q representations
from chapter 4
To prepare for the exam go over lecture notes and old homeworks. In addition,
here are some review problems.
Here are solutions of selected homework problems.
Homework assignments
Assignment #1 (due October 5)
- 1.4, 1.10, 1.11, 1.22, 1.32, 1.35, 1.40, 1.45, 1.50, 1.51.
- Bonus: problem 3 from the preface.
Assignment #2 (due October 12)
- 2.3, 2.4abcd, 2.9, 2.10acdgh, 2.22, 2.29a, 2.30, 2.31, 2.32, 2.37, 2.40b, 2.48.
Assignment #3 (due October 19)
- 3.4, 3.10, 3.11, 3.17, 3.29, 3.44, 3.47, 3.49cd, 3.55, 3.58.
- Bonus: 2.11
Assignment #4 (due October 26)
- 3.50, 3.65, 4.3, 4.6, 4.10, 4.12, 4.13, 4.15, 4.31, 4.33.
Assignment #5 (due November 2)
- 3.60a, 4.21, 4.24, 4.34, 4.35, 4.43, 4.46.
Assignment #6 (due November 9)
Note: 5.10 replaced by 5.22
- 4.49, 4.51, 5.1, 5.5, 5.12, 5.14, 5.20, 5.22, 5.23, 5.27.
Assignment #7 (due November 16)
Note: 6.9cd added recently
- 5.28, 5.31, 5.33, 6.4, 6.9cd, 6.17, 6.18, 6.23, 6.32.
Assignment #8 (due November 23)
- 6.35, 6.45, 7.1, 7.6, 7.17, 7.19, 7.24, 7.33, 7.34.
Assignment #9 (due November 30)
- 6.29, 6.31, 7.28, 7.31, 7.47.
Additional review problems (for the final exam):
4.29ab, 4.32, 4.36, 4.37,
5.18, 5.30, 5.39, 5.45, 5.48, 6.22, 6.38, 6.40, 6.42, 6.48, 6.49, 7.18, 7.23, 7.30bc, 7.32, 7.35