Be sure to check back, because this may be updated during the semester.
Last modified: Monday, November 23, 2009,
2:45 PM
You should definitely read the section listed for each day and check onCourse for the summary of definitions and theorems. On a few days, there are supplemental sections listed in italics that you should read as well.
All section numbers are from Understanding Analysis by Steve Abbott
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Monday |
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Wednesday |
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Friday |
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9/2 |
Welcome to Real Analysis |
9/4 |
1.2 Some preliminaries
Sections 1.1 & 1.6 |
| 9/7 |
Labor Day
No Classes |
9/9 |
1.3 The Axiom of Completeness |
9/11 |
1.4 Consequences of Completeness
Homework due |
| 9/14 |
1.4 Consequences of Completeness (cont) |
9/16 |
1.5 Cantor's Theorem |
9/18 |
2.2 The Limit of a Sequence
Sections 2.1 & 2.9
Homework due |
| 9/21 |
2.2 The Limit of a Sequence (cont) |
9/23 |
2.3 The Algebraic and Order Limit Theorems |
9/25 |
Fudge day
Homework due
Title for Book Review due |
| 9/28 |
2.4 The Monotone Convergence Theorem |
9/30 |
2.5 Subsequences and the Bolzano-Weierstrass Theorem |
10/2 |
2.6 The Cauchy Criterion
Homework due |
| 10/5 |
2.7 Properties of Infinite Series |
10/7 |
3.1 The Cantor Set
Section 3.6 |
10/9 |
3.2 Open and Closed Sets
Takehome Exam 1 due |
| 10/12 |
Fall Break
No Classes |
10/14 |
3.3 Compact Sets |
10/16 |
4.1 Examples of Dirichlet & Thomae |
| 10/19 |
4.2 Functional Limits |
10/21 |
4.3 Combinations of Continuous Functions |
10/23 |
4.4 Continuous Functions on Compact Sets
Homework due
Progress Report on Book Review due |
| 10/26 |
Fudge Day |
10/28 |
4.5 The Intermediate Value Theorem |
10/30 |
5.2 Derivatives and the Intermediate Value Property
Section 5.1
Homework due |
| 11/2 |
5.2 Derivatives and the Intermediate Value Property (cont) |
11/4 |
5.3 The Mean Value Theorem |
11/6 |
5.3 The Mean Value Theorem (cont)
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| 11/9 |
5.4 A Continous Nowhere-Differentiable Function |
11/11 |
6.2 Uniform Convergence of a Sequence of Functions |
11/13 |
6.2 Uniform Convergence of a Sequence of Functions (cont)
Homework due |
| 11/16 |
6.3 Uniform Convergence and Differentiation |
11/18 |
6.4 Series of Functions |
11/20 |
6.5 Power Series
Takehome Exam 2 due |
| 11/23 |
6.5 Power Series (cont) |
11/25 |
Thanksgiving Break
No Classes |
11/27 |
Thanksgiving Break
No Classes |
| 11/30 |
7.2 The Definition of the Riemann Integral |
12/2 |
7.3 Integrating Functions with Discontinuities |
12/4 |
7.4 Properties of the Integral
Homework due |
| 12/7 |
7.5 The Fundamental Theorem of Calculus
Book Review due |
12/9 |
Fudge Day |
12/11 |
Some random fun stuff |
