# MATH 375 - Suggested Homework Problems

**
2.5**:
5.1, 5.2, 5.3, 5.4, 5.8, 5.11, 5.14a, b, 5.15

**
2.6**:
6.2, 6.3, 6.4, 6.5a, b, c, d, 6.6a, b, d, e

**
2.7**:
7.1, 7.2, 7.4, 7.6, 7.10, 7.14, 7.15, 7.16

**
2.8**:
8.1a, b, d, 8.2, 8.3, 8.4, 8.7, 8.8

**
3.10**:
10.1, 10.3, 10.4, 10.8, 10.10

**
3.11**:
11.1, 11.3, 11.4, 11.6, 11.7

**
3.12**:
12.1a, b, c, d, e, f, g, 12.4, 12.6, 12.7, 12.8

**
4.16**:
16.1, 16.2a, c, e, 16.3a, b, c, d, 16.5

**
4.17**:
17.1a, 17.3a, d, f, g, 17.4, 17.5, 17.6, 17.7, 17.12, 17.13a

**
4.18**:
18.1b, d, 18.2, 18.3, 18.4

**
5.20**:
20.1a, b, c, e, f, 20.2a, 20.3c, 20.4, 20.5, 20.8

**
5.21**:
21.1, 21.2, 21.3, 21.4, 21.8, 21.10

**
5.22**:
22.4, 22.5, 22.7

**
5.23**:
23.1c, e, 23.2a, b, 23.3, 23.4, 23.5

**
6.25**:
25.1a, b, c, d, 25.3, 25.5a, 25.7

**
6.26**:
26.1, 26.3a, b, c, e, 26.6, 26.8, 26.9

In addition, the following topics are covered from Riemann integration.

- Definition of Riemann integral.
- Proof of uniqueness.
- Proofs of the linearity of the integral assuming appropriate hypotheses.
- Proof of existence of the integral of f over a closed interval assuming f is continuous.
- Proof of fundamental theorem of integral calculus.
- Calculations of integrals from sums and from fundamental theorem.