Daily Syllabus, Math 301 Real Analysis, Fall 2019

Be sure to check back, because this will be updated during the semester.

All numbers indicate sections from Understanding Analysis, Second Edition by Abbott.

Tuesday
12:30 - 1:50
Thursday
12:30 - 1:50
8/27 Welcome to Real Analysis ! 8/29 1.3 The Axiom of Completeness
1.4 Consequences of Completeness
9/3 No class. Monday classes meet today 9/5 1.4 Consequences of Completeness
Problem Set #1 due Friday 9/6 @ 12:30 pm
9/10 1.5 Cardinality 9/12 1.5 Cardinality
Problem Set #2 due Friday 9/13 @ 12:30 pm
9/17 1.6 Cantor's Theorem 9/19 1.6 Cantor's Theorem
9/24 2.2 The Limit of a Sequence
2.3 The Algebraic and Order Limit Theorems
9/26 2.4 The Monotone Convergence Theorem
Problem Set #3 due Friday 9/27 @ 12:30 pm
10/1 2.5 Subsequences and the Bolzano-Weierstrass Theorem
Exam 1 @ 6:00 pm on Wednesday 10/2
10/3 2.6 The Cauchy Criterion
10/8 3.1 The Cantor Set 10/10 3.2 Open and Closed Sets
Problem Set #4 due Friday 10/11 @ 12:30 pm
10/15 Fall Break 10/17 3.3 Compact Sets
Title for Book Review due @ midnight
10/22 4.1 Examples of Dirichlet & Thomae
4.2 Functional Limits
10/24 4.3 Continuous Functions
Problem Set #5 due Friday 10/25 @ 12:30 pm
10/29 4.4 Continuous Functions on Compact Sets 10/31 4.5 The Intermediate Value Theorem
Problem Set #6 due Friday 11/1 @ 12:30 pm
11/5 5.2 Derivatives and the Intermediate Value Property 11/7 5.2 Derivatives and the Intermediate Value Property
Problem Set #7 due Friday 11/8 @ 12:30 pm
11/12 5.3 The Mean Value Theorem
Exam 2 @ 6:00 pm on Wednesday 11/13
11/14 5.4 A Continous Nowhere-Differentiable Function
11/19 6.2 Uniform Convergence of a Sequence of Functions
Progress Report for Book Review due @ midnight
11/21 6.3 Uniform Convergence and Differentiation
Problem Set #8 due Friday 11/15 @ 12:30 pm
11/26 6.4 Series of Functions
6.5 Power Series
11/28 Thanksgiving Break
12/3 6.7 The Weierstrass Approximation Theorem 12/5 6.7 The Weierstrass Approximation Theorem
Book Review due @ midnight
Comprehensive Final Exam, Saturday, December 14 @ 2:00pm