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Monday |
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Wednesday |
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Friday |
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8/30 |
Welcome to Real Analysis!
1.2 Some preliminaries
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9/1 |
1.3 The Axiom of Completeness
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| 9/4 |
Labor Day |
9/6 |
1.4 Consequences of Completeness
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9/8 |
1.4 Consequences of Completeness
Prob Set 1 (Group) due @ 9:30 am
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| 9/11 |
1.5 Cardinality
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9/13 |
1.6 Cantor's Theorem
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9/15 |
1.6 Cantor's Theorem
Prob Set 2 (Indiv) due @ 9:30 am
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| 9/18 |
2.2 The Limit of a Sequence
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9/20 |
2.2 The Limit of a Sequence
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9/22 |
2.3 The Algebraic and Order Limit Theorems
Prob Set 3 (Group) due @ 9:30 am
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| 9/25 |
2.4 The Monotone Convergence Theorem
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9/27 |
2.5 Subsequences and the Bolzano-Weierstrass Theorem
Johnson Lecture @ 5:30 pm
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9/29 |
2.6 The Cauchy Criterion
Prob 4 (Indiv) due @ 9:30 am
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| 10/2 |
2.7 Properties of Infinite Series
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10/4 |
2.7 Properties of Infinite Series
Exam 1 on 10/5 @ 6:00 pm
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10/6 |
3.1 The Cantor Set
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| 10/9 |
Fall Break
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10/11 |
3.2 Open and Closed Sets
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10/13 |
3.3 Compact Sets
Title for Book Review due
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| 10/16 |
3.3 Compact Sets
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10/18 |
4.1 Examples of Dirichlet & Thomae
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10/20 |
4.2 Functional Limits
Prob Set 5 (Group) due @ 9:30 am
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| 10/23 |
4.3 Continuous Functions
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10/25 |
4.4 Continuous Functions on Compact Sets
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10/27 |
4.5 The Intermediate Value Theorem
Prob Set 6 (Indiv) due @ 9:30 am
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| 10/30 |
Power outage. No Class
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11/1 |
5.2 Derivatives and the Intermediate Value Property
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11/3 |
5.2 Derivatives and the Intermediate Value Property
Prob Set 7 due @ 9:30 am
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| 11/6 |
5.3 The Mean Value Theorem
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11/8 |
5.4 A Continous Nowhere-Differentiable Function
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11/10 |
6.2 Uniform Convergence of a Sequence of Functions
Prob Set 8 (Group) due @ 9:30 am
Progress Report on Book Review due
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| 11/13 |
6.2 Uniform Convergence of a Sequence of Functions
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11/15 |
6.3 Uniform Convergence and Differentiation
Exam 2 on 11/16 @ 6:00 pm
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11/17 |
No Class
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| 11/20 |
6.4 Series of Functions
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11/22 |
Thanksgiving Break
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11/24 |
Thanksgiving Break
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| 11/27 |
6.5 Power Series
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11/29 |
6.6 Taylor Series
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12/1 |
6.7 The Weierstrass Approximation Theorem
Prob Set 9 (Indiv) due @ 9:30 am
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| 12/4 |
7.2 The Definition of the Riemann Integral
Book Review due
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12/6 |
7.3 Integrating Functions with Discontinuities
7.4 Properties of the Integral
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12/8 |
7.5 The Fundamental Theorem of Calculus
Prob Set 10 due @ 9:30 am
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Final Exam
Thursday, December 14, 9:00 - 12:00 |
