MAT320 - Introduction to Real Analysis

Homework Assignments

Hmk # Assigned Due Problems (* are optional)
1 9/7 9/14
  • Read Section 1.1 and familiarize notation
  • Read Section 2.1 up to Rationals and Irrationals
  • Section 2.1 - 1, 2, 4, 5

Solutions

2 9/12 9/20
  • Read Section 2.1: Rationals and Irrationals
  • Read Section 1.2
  • Section 2.1 - 8
  • Section 1.2 - 1, 3, 4, 7, 20

Solutions

3 9/14 9/25
  • Read Section 2.1 (finish) and start 2.2
  • Section 2.1 - 10, 13, 14, 20, 22
  • Section 2.1 - READ EXERCISES 17, 24, 25, 26

Solutions

4 9/19 9/26
  • Read Section 2.2
  • Section 2.2 - 1(b), 4, 6(a), 15, 16(a)

Solutions

5 9/26 10/3
  • Read through Section 2.5
  • Section 2.4 - sup parts of 4(a,b), 6, 13, 18
    • Hints:  13 will use stuff from 2.1 and 18 use the proofs of 2.4.8 & 9

    Solutions

6 9/28 10/5
  • Read Section 1.3 and 2.5
  • Section 2.5 - 2, 7, 8, 9, 17

Solutions

7 10/3 10/12
  • Fill in proof of 3.1.9
  • Read Section 3.1
  • Section 3.1 - 1d, 2b, 3b, 4, 5a, 5c, 8, 11

Solutions

8 10/10 10/17
  • Read Section 3.2
  • Section 3.2 - 1b, 1d, 3, 6b, 7, 19, 21
  • Read BUT don't do - 2, 14, 16, 17, 20

Solutions

9 10/12 10/19
  • Read Section 3.3
  • Section 3.3 - 1, 2, 3, 4 (use the example done in class)

Solutions

10 10/17 10/24
  • Read Section 3.4
  • Section 3.4 - 4a, 7, 12, 14 (last two are construction proofs)

Solutions

11 10/19 10/26
  • Read Section 3.5 AND 3.6
  • Section 3.5 - 2a, 4
  • Section 3.6 - 1, 3, 6, 8a, 8b
12 10/24 11/7
  • Read Section 3.7
  • Read problems 2 and 12
  • Section 3.7 - 3a, 3b, 4, 6b, 8, 9, 14a
13 11/7 11/14
  • Read Section 4.1
  • Section 4.1 - 1a, 1c, 2a, 2c, 3, 5, 11c, 11d
14 11/9 11/16
  • Read Section 4.2
  • Section 4.2 - 1a, 1c, 2a, 2c, 3, 5, 11
  • Read Section 5.1, read exercise 11, 12
  • Section 5.1 - 6, 8, rewrite explanation of Thomae's Function
  • Read Section 5.2
15 11/14 11/21
  • Read Section 5.3
  • Section 5.2 - 2, 8, 10, 11 (draw pictures to aid you)
16 11/16 11/28
  • Read Section 5.4
  • Section 5.3 - 1, 2, 7, 17, finish proof 5.3.4
  • Read Section 5.3 - 6, 14, 18, 19
17 11/21 11/30
  • Read Section 5.5 and 5.6
  • Section 5.4 - 1, 2, 3, 5, finish proof 5.4.8
  • Section 5.4 - Read 12
18 11/30 12/7
  • Read Section 6.2
  • Section 6.1 - 1, 6, 10, 12
  • Write proof of 6.1.8