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 |
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|---|---|---|---|
| 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 |
| 11/5 | 5.2 Derivatives and the Intermediate Value Property
Problem Set #6 due Wednesday 11/6 @ 2:00 pm |
11/7 | No Class I'm at a conference |
| 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 |
| 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
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