Math 3150, Section 1, Fall 2017

# Analysis I

Instructor's Office Hours:
Office hours are in Monteith 326
(most) Wednesdays 11:00 - 12:00
(most) Thursdays 2:00 - 3:00
Important Dates
In-Class Midterm Exam: Friday, October 27
Covers Chapters 1 and 2

## Portfolio Problems

Some Remarks on Writing Mathematical Proofs
by Jack Lee

1st Problem Set: Due September 29

(Now includes correction to Problem 1)

2nd Problem Set: Due October 20

3rd Problem Set: Due November 17

Update: For the final revisions, you only need to turn in revisions to 5 problems. The choice of problems is up to you.

## Suggested Exercises

It is a good idea to work out exercises from each section of the book that we cover. These will not be collected.

Section 1.1: Exercises 1.1.1, 1.1.2, 1.1.4, 1.1.6, 1.1.8, 1.1.9, 1.1.10, 1.1.11 (lookup definition of equivalence relation), 1.1.12

Section 1.2: Exercises 1.2.2, 1.2.4, 1.2.5, 1.2.6, 1.2.7, 1.2.8

Section 1.3: Exercises 1.3.2, 1.3.3, 1.3.4, 1.3.5, 1.3.6, 1.3.7, 1.3.8, 1.3.9, 1.3.10, 1.3.16

Section 1.4: Exercises 1.4.1, 1.4.2 (can you give two proofs?), 1.4.4, 1.4.6, 1.4.7, 1.4.10, 1.4.12, 1.4.13

Section 2.1: Exercises 2.1.2, 2.1.3, 2.1.4, 2.1.7

Section 2.2: Exercises 2.2.6, 2.2.3, 2.2.7, 2.2.8, 2.2.11, 2.2.14

Section 2.3: Exercises 2.3.1, 2.3.4, 2.3.5, 2.3.12

Section 2.4: Exercises 2.4.1, 2.4.2, 2.4.3, 2.4.4, 2.4.5 (use a lemma we proved in class), 2.4.7, 2.4.8

Section 3.1: Exercises 3.1.1, 3.1.2, 3.1.3, 3.1.4, 3.1.7, 3.1.11

Section 3.2: Exercises 3.2.1, 3.2.2, 3.2.3, 3.2.4, 3.2.5, 3.2.7, 3.2.10

Section 4.1: Exercises 4.1.1, 4.1.2, 4.1.3, 4.1.5

Section 4.2: Exercises 4.2.1, 4.2.2, 4.2.4, 4.2.10, 4.2.13

Last updated: November 17, 2017