HOMEWORK

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Assignment 1 DUE 1-28

• Chapter 1, Exercises 1.2, 1.3acde, 1.4, 1.7

Assignment 2 DUE 2-04

• Chapter 1, Exercises 2.7, 2.9, 2.10, 2.12, 2.13, 2.14bc, 3.2, 3.6

• Goldbach conjecture problem: The Goldbach conjecture states that every even integer greater than 2 is the sum of two prime numbers. Express this using existential and universal quantifiers.

Assignment 3 DUE 2-11

• Chapter 1, Exercises 4.6, 4.7, 4.10, 4.16, 4.17A, 4.18, 4.19, 4.21, 4.24

Assignment 4 DUE 2-18

• Chapter 2, Exercises 1.7a, 1.8, 1.9, 1.10, 2.9, 2.10, 2.12, 2.17

  Let S be a set of real numbers. Let -S be the set {-s, for every s in S}. Show z = inf S if and only if -z = sup -S.

Assignment 5 DUE 2-25

• Chapter 2, Exercises 2.20, 2.21, 2.22, 2.23

• Chapter 3, Exercises 1.14, 1.17, 1.23

First midsemester exam is on Monday, February 24 and will cover chapters 1 and 2.

Assignment 6 Due 3-03

• Chapter 3, Exercises 1.18-1.26, 2.10, 2.11bd, 2.12b, 2.14acdfgi, 2.15abc

Assignment 7 Due 3-17

• Chapter 3 , Exercise 2.14, ehj, 2.15defg, 3.7, 4.4-4.6, 5.5

Assignment 8 Due 3-24

• Chapter 3, Exercise 5.6, 6.3, 6.5 6.8, 6.11, in progress

• Chapter 3, Exercise 5.6, 6.3, 6.8, 6.10, 6.11, 6.14, 6.15, 6.17, and 6.22

Assignment 9 Due 4-02

• Chapter 3. Exercise 7.2, 7.3, 7.4. For the sequence s_n =(n+1)/n , find N such that |s_n -s_m| < 1/100 for all n, m >N.

• Chapter 4. 1.11 a-f

Assignment 10 Due 4-09

• Chapter 4. 1.11 g-l , 2.11(find a counterexample if false), 2.12, 2.13, 2.14a-e.