MATH
6101: Foundations of Real Analysis
Tentative
Outline of Topics
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Jan 26 |
Day 1 Limits and Limits of Functions |
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Feb 2 |
Day 2 Continuity and Continuous Functions, Uniform Continuity |
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Feb 9 |
Day 3 A Bestiary of Calculus Functions |
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Feb 16 |
Day 4 Functions - The Extended Family Members |
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Feb 23 |
Day 5 |
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Mar 2 |
Day 6 Applications of the Derivative |
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Mar 9 |
Day 7 UNC Charlotte Semester Break |
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Mar 16 |
Day 8 Parametric
Equations, Implicit Derivatives, Related Rates |
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Mar 23 |
Day 9 Antiderivatives |
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Mar 30 |
Day 10
Integration
and the Fundamental Theorem of Calculus |
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Apr 6 |
Day 11 Techniques of
Integration, including Numerical |
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Apr 13 |
Day 12
Applications of the Integral |
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Apr 20 |
Day 13 Differential Equations |
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Apr 27 |
Day 14 Power Series Solutions & Picard's Method |
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Apr 29 |
Reading Day |
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May 4 |
Final Exam
(1700 – 1950) |