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MAT 320: Introduction to Analysis
Stony Brook Spring 2019 |
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| Dates | Topic | Read | Problem Set |
| 1/28, M - 2/4, M | Mathematical induction | Chapter 1 | |
| The Completeness Axiom | |||
| 2/5, Tu - 2/11, M | Limits of sequences | Sections 7-9 | |
| Limit theorems for sequences | |||
| 2/12, Tu - 2/18, M | Cauchy sequences | Sections 9-11 | |
| Subsequences | |||
| 2/19, Tu - 2/25, M | More on subsequences | Sections 11,12 | |
| lim inf and lim sup | |||
| 2/26, Tu - 3/4, M | Series | Sections 14,15 | |
| Convergence tests for series | |||
| 3/5, Tu - 3/6, W | Review for Midterm I | Sections 1-5,7-12,14,15 | none |
| 3/7, Th | Midterm I: joint for MAT 319 and 320; snow date: 3/12, Tu; info | ||
| 3/11, M | Overview of Midterm I; last joint class | ||
| 3/12, Tu - 3/14, Th | Metric spaces | Section 13 | |
| Convergence, compactness | |||
| 3/18, M - 3/21, Th | no classes, no office hours | ||
| 3/25, M - 4/1, M | More on compactness | pp171-179 notes notes |
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| More on completeness, connectedness | |||
| 4/2, Tu - 4/8, M | Continuous functions | Sections 21,22,17-20 notes |
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| 4/9, Tu - 4/10, W | Review for Midterm II | Sections 13,21,22,17-20 notes above |
none |
| 4/11, Th | Midterm II: info | ||
| 4/15, M | Overview of HW8 and Midterm II | ||
| 4/16, Tu - 4/22, M | Uniform convergence | Sections 23-26 | |
| Power series | |||
| 4/23, Tu - 4/29, M | Weierstrass Approximation Theorems | Section 27 notes |
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| 4/30, Tu - 5/6, M | Riemann Integral | Sections 32-34 notes |
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| 5/7, Tu - 5/9, Th | Review for Final Exam | everything above | none |
| 5/21, Tu | final exam, 11:15am-1:45pm: info | ||