assignments
From time to time I'll post
challenge problems. They're more for fun than for credit, but we'll talk about some of them in class.
The regular class assignments (for handing in and credit) appear below with their deadlines. They are due at 4pm on the day stated; use the envelope on the board outside my office.
due Fri Sep 12
Assignment 1
Lay: 1.12, 1.13, 2.10e, 2.10g, 2.14.
due Fri Sep 19
Assignment 2
- From Lay: 4.14, 6.19, 6.25, 6.29, 7.21
- Prove Theorem 5.13(g) of Lay.
- Prove that
is irrational. (Hint: first prove that m is a multiple of 3 iff m2
is a multiple of 3.)
due Wed Sep 24
Quiz 1
30 minutes; no books; no notes; no calculators. It will cover Sections 1-7 inclusive. Expect two types of question: stating definitions and giving proofs. Every definition will be one from the book. Every proof will be one that you've seen (either in the book, in the homework, or in class).
due Fri Sep 26
Assignment 3
From Lay: 8.12, 8.20, 8.22.
due Fri Oct 3
Assignment 4
From Lay: 10.3, 10.15, 11.8, 11.3(a)-(f) inclusive, 11.9.
due Fri Oct 17
Assignment 5
From Lay: 12.1, 12.3(a,c,e,g,i,k,m), 13.5, 13.24, 16.7(a). Optionally (if you enjoyed the weirdly shaped circle stuff) do 15.7.
due Mon Oct 27
Assignment 6
From Lay: 16.13, 17.5(a,c,e), 18.4, 18.9.
due Fri Oct 31
Quiz 2
30 minutes; no books; no notes; no calculators. It will cover Chapters 3 and 4. Expect three questions. The first will ask you to state several definitions and theorems, the second will ask you to prove a result about open and closed sets and the third will be a more computational question on limits and/or convergence.
due Fri Nov 7
Assignment 7
From Lay: 20.3(a,b), 21.5, 21.19, 22.4, 22.7.
due Fri Nov 14
Assignment 8
From Lay: 23.4, 23.6, 25.4(b,c), 25.12, 25.13.
due Wed Nov 26
Assignment 9
From Lay: 25.18(a), 26.5(b), 26.6, 27.3(c), 28.6, 28.13, 29.3.
