Math 509 Real Analysis

Have a wonderful break!!

Lecture Notes:
Section 1.1 - Sets and Functions
Section 1.3 - Finite and Infinite Sets
Section 2.1 - Algebraic/Order Properties
Section 2.2 - Absolute Value
Section 2.3 - The Completeness Property of the Reals
Section 3.1 - Sequences and Limits
Section 3.3 - Monotone Sequences
Section 3.4 - Bolzano-Weierstrass Theorem
Section 3.5 - The Cauchy Criterion
Section 5.1 - Continuous Functions

Homework:
Introduction: Read the following article and come to Monday's (8/29) class ready to discuss: Secret to Being Smart
Section 1.1: 3, 7, 10, 14, 15, 19, 22 (due 9/7)
Section 1.2: 2, 7, 11, 16, 20 (due 9/7)
Section 1.3: 2, 7, 8, 12 (due 9/14)

Miscellaneous:
Hilbert's Hotel: video article

Projects:
Project 1 - due 10/12
Project 2 - due 12/5

Section 2.1: 4, 7, 8, 12, 16, 23 (due 9/21)
Section 2.2: 6, 11, 16, 18 (due 9/28)
Section 2.3: 4-7, 10, 12, 13 (due 9/28)
Section 2.4: 2, 4, 7, 9, 11 (due 10/5)
Section 2.5: 1, 3 (due 10/5)
Section 3.1: 5, 6, 8, 11, 18 (due 10/12)
Section 3.2: 3, 6, 7, 22 (due 11/9)
Section 3.3: 1, 3, 6, 8 (due 11/9)
Section 3.4: 4, 5, 10, 11, 17, 18 (due 11/21)
Section 3.5: 1, 5, 10 (due 11/30)
Section 5.1: 3, 5, 9, 11 (due 12/5)