
Monday 

Wednesday 

Friday 


8/30 
Welcome to Real Analysis!
1.2 Some preliminaries

9/1 
1.3 The Axiom of Completeness

9/4 
Labor Day 
9/6 
1.4 Consequences of Completeness

9/8 
1.4 Consequences of Completeness
Prob Set 1 (Group) due @ 9:30 am

9/11 
1.5 Cardinality

9/13 
1.6 Cantor's Theorem

9/15 
1.6 Cantor's Theorem
Prob Set 2 (Indiv) due @ 9:30 am

9/18 
2.2 The Limit of a Sequence

9/20 
2.2 The Limit of a Sequence

9/22 
2.3 The Algebraic and Order Limit Theorems
Prob Set 3 (Group) due @ 9:30 am

9/25 
2.4 The Monotone Convergence Theorem

9/27 
2.5 Subsequences and the BolzanoWeierstrass Theorem
Johnson Lecture @ 5:30 pm

9/29 
2.6 The Cauchy Criterion
Prob 4 (Indiv) due @ 9:30 am

10/2 
2.7 Properties of Infinite Series

10/4 
3.1 The Cantor Set
Exam 1 on 10/5 @ 6:00 pm

10/6 
3.2 Open and Closed Sets

10/9 
Fall Break

10/11 
3.3 Compact Sets

10/13 
4.1 Examples of Dirichlet & Thomae
Title for Book Review due

10/16 
4.2 Functional Limits

10/18 
4.3 Combinations of Continuous Functions

10/20 
4.4 Continuous Functions on Compact Sets
Prob Set 5 (Group) due @ 9:30 am

10/23 
4.4 Continuous Functions on Compact Sets

10/25 
4.5 The Intermediate Value Theorem

10/27 
5.2 Derivatives and the Intermediate Value Property
Prob Set 6 (Indiv) due @ 9:30 am

10/30 
5.2 Derivatives and the Intermediate Value Property

11/1 
5.3 The Mean Value Theorem

11/3 
5.3 The Mean Value Theorem
Prob Set 7 (Group) due @ 9:30 am

11/6 
5.4 A Continous NowhereDifferentiable Function

11/8 
6.2 Uniform Convergence of a Sequence of Functions

11/10 
6.2 Uniform Convergence of a Sequence of Functions
Prob Set 8 (Indiv) due @ 9:30 am
Progress Report on Book Review due

11/13 
6.3 Uniform Convergence and Differentiation

11/15 
6.4 Series of Functions
Exam 2 on 11/16 @ 6:00 pm

11/17 
6.5 Power Series

11/20 
6.5 Power Series

11/22 
Thanksgiving Break

11/24 
Thanksgiving Break

11/27 
6.6 Taylor Series

11/29 
6.7 The Weierstrass Approximation Theorem

12/1 
7.2 The Definition of the Riemann Integral
Prob Set 9 (Group) due @ 9:30 am

12/4 
7.3 Integrating Functions with Discontinuities
Book Review due

12/6 
7.4 Properties of the Integral

12/8 
7.5 The Fundamental Theorem of Calculus
Prob Set 10 (Indiv) due @ 9:30 am

Final Exam Thursday, December 14, 9:00  12:00 