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MAT 320: Introduction to Analysis
Stony Brook Spring 2018 |
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| Dates | Topic | Read | Problem Set |
| 1/22, M - 1/29, M | Mathematical induction | Chapter 1 | #1 |
| The Completeness Axiom | |||
| 1/30, Tu - 2/5, M | Limits of sequences | Sections 7-9 | #2 |
| Limit theorems for sequences | |||
| 2/6, Tu - 2/12, M | Cauchy sequences | Sections 9-11 | #3 |
| Subsequences | |||
| 2/13, Tu - 2/19, M | More on subsequences | Sections 11,12 | #4 |
| lim inf and lim sup | |||
| 2/20, Tu - 2/26, M | Series | Sections 14-16 | #5 |
| Convergence tests for series | |||
| 2/27, Tu - 2/28, W | Review for Midterm I | Sections 1-5,7-12,14,15 | none |
| 3/1, Th | Midterm I: joint for MAT 319 and 320; snow date: 3/6, Tu | ||
| 3/5, M | Overview of Midterm I; last joint class | ||
| 3/6, Tu - 3/8, Th | Metric spaces | Section 13 | #6 |
| Convergence, compactness | |||
| 3/12, M - 3/15, Th | no classes, no office hours | ||
| 3/19, M - 3/26, M | More on compactness | pp171-179 notes |
#7 |
| More on completeness, connectedness | |||
| 3/27, Tu - 4/2, M | Continuous functions | Sections 21,22,17-20 notes |
#8 |
| 4/3, Tu - 4/4, W | Review for Midterm II | Sections 13,21,22,17-20 notes |
none |
| 4/5, Th | Midterm II | ||
| 4/9, M | Overview of HW8 and Midterm II | ||
| 4/10, Tu - 4/16, M | Uniform convergence | Sections 23-26 | #9 |
| Power series | |||
| 4/17, Tu - 4/23, M | Weierstrass Approximation Theorems | Section 27 notes |
#10 |
| 4/24, Tu - 4/30, M | Riemann Integral | Sections 32-34 | #11 |
| 5/1, Tu - 5/3, Th | Review for Final Exam | everything above | none |
| 5/15, Tu | final exam, 11:15am-1:45pm, in Math P-131 | ||