MAT 320: Introduction to Analysis
Stony Brook Spring 2024 |
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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 14,15 | #5 |
Convergence tests for series | |||
2/27, Tu - 2/28, W | Review for Midterm I | Sections 1-5,7-12,14,15 | none |
2/29, Th | Midterm I: joint for MAT 319 and 320; snow date: 3/5, Tu; info | ||
3/4, M | Overview of Midterm I; separate for 319/20 | ||
3/5, Tu - 3/7, Th | Metric spaces | Section 13 | #6 |
Convergence, compactness | |||
3/11, M - 3/14, Th | no classes, no office hours | ||
3/18, M - 3/25, M | More on compactness | pp171-179 | |
More on completeness, connectedness | |||
3/26, Tu - 4/1, M | Continuous functions | Sections 21,22,17-20 | |
4/2, Tu - 4/3, W | Review for Midterm II | Sections 13,21,22,17-20 | none |
4/4, Th | Midterm II | ||
4/8, M | Overview of HW8 and Midterm II | ||
4/9, Tu - 4/15, M | Uniform convergence | Sections 23-26 | |
Power series | |||
4/16, Tu - 4/22, M | Weierstrass Approximation Theorems | Section 27 | |
4/23, Tu - 4/29, M | Riemann Integral | Sections 32-34 | |
4/30, Tu - 5/2, Th | Review for Final Exam | everything above | none |
5/14, Tu | final exam, 11:15am-1:45pm |