Math 301 - Real Analysis - Fall 2007
Be sure to check back, because this will be modified and updated during the semester.
Last modified:
November 30, 2007 4:12 PM
You should obviously read the sections listed for each day, and any additional reading assignments are listed in dark red. All readings are from Understanding Analysis by Stephen Abbott.
| Monday | Wednesday | Friday | |||
| 8/29 | Welcome to Real Analysis | 8/31 | 1.2 Some preliminaries Sections 1.1 & 1.6 |
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| 9/3 | Labor Day | 9/5 | 1.3 The Axiom of Completeness |
9/7 | 1.4 Consequences of Completeness |
| 9/10 | 1.4 Consequences of Completeness Reread Section 1.4 |
9/12 | 1.5 Cantor's Theorem | 9/14 | 2.2 The Limit of a Sequence Sections 2.1 & 2.9 |
| 9/17 | 2.2 The Limit of a Sequence | 9/19 | 2.3 The Algebraic and Order Limit Theorems | 9/21 | More w/ Convergence of Sequences |
| 9/24 | 2.4 The Monotone Convergence Theorem | 9/26 | 2.5 Subsequences and the Bolzano-Weierstrass Theorem | 9/28 | 2.6 The Cauchy Criterion |
| 10/1 | 2.7 Properties of Infinite Series | 10/3 | 3.2 Open and Closed Sets Sections 3.1 & 3.6 |
10/5 | 3.2 Continued Exam 1 Due |
| 10/8 | Fall Break | 10/10 | 4.1 Examples of Dirichlet & Thomae | 10/12 | 4.2 Functional Limits |
| 10/15 | 4.3 Combinations of Continuous Functions | 10/17 | 3.3 Compact Sets 4.4 Continuous Functions on Compact Sets |
10/19 | Homework Presentation |
| 10/22 | 4.4 Continued | 10/24 | 5.1 Are Derivatives Continuous? 5.2 Derivatives and the Intermediate Value Property |
10/26 | 5.2 Continued |
| 10/29 | Cleaning up a few loose ends | 10/31 | Continued | 11/2 | 5.3 The Mean Value Theorem |
| 11/5 | 5.4 A Continous Nowhere-Differentiable Function | 11/7 | 6.2 Uniform Convergence of a Sequence of Functions | 11/9 | 6.2 Continued |
| 11/12 | 6.3 Uniform Convergence and Differentiation | 11/14 | 6.4 Series of Functions | 11/16 | Homework Presentation |
| 11/19 | 6.5 Power Series | 11/21 | Thanksgiving Break | 11/23 | |
| 11/26 | 6.5 Continued | 11/28 | 7.2 The Definition of the Riemann Integral | 11/30 | 7.3 Integrating FUnctions with Discontinuities |
| 12/3 | 7.5 The Fundamental Theorem of Calculus | 12/5 | 12/7 |
Final Exam Due Wednesday, December 12, 5:00 pm
Last Modified May 7, 2009 10:14 PM