Markus Schmidmeier • Mathematical Sciences • Florida Atlantic University

## Homework assignments

All problem numbers refer to our textbook Real Analysis by John M. Howie.

Textbook
Sections

Problems

due

Chapter 1 Problems 1.1 (in section 1.2); 1.2; 1.4; 1.16, 1.18, 1.22 nice warm-up exercises
2.1: Sequences 2.1 - 2.5, first homework (pdf) Friday, 8/30
2.2: Operations on sequences 2.5, 2.7 - 2.9 Friday, 9/6
2.2: Some more limits 2.10, 2.11, 2.12 Friday, 9/13
2.2: Limits, monotonicity 2.13, 2.14, 2.18, 2.20 Friday, 9/20
2.4: Cauchy sequences 2.22, 2.23, 2.25 Friday, 9/27
2.6-7: Series of positive terms, Leibniz Test 2.30, 31, 32, 38, 41, 42 Friday, 10/4
Midterm Exam Friday, 10/11
3.1, 3.2: Introduction to functions 3.1, 3.2, 3.3, 3.5, 3.6 Friday, 10/18
3.4: Limits 3.4/ 15, 16, 17, 18 Friday, 10/25
3.5: Continuity 3.21, 22, 24, 25 Friday, 11/1
3.5: More on continuity 3.22, 23, 26, 27 Friday, 11/8
3.6: Uniform continuity 3. 27, 28; give a direct proof that cos(x) is uniformly continuous Friday, 11/8
3.7: Inverse functions 3.35, 3.36, 3.37 Friday, 11/22
4.2: Mean Value Theorems 4.6, 4.7, 4.8 Wednesday, 11/27