MAT 320: Introduction to Analysis
Stony Brook Spring 2019 

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 79  
Limit theorems for sequences  
2/12, Tu  2/18, M  Cauchy sequences  Sections 911  
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 15,712,14,15  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  pp171179 notes notes 

More on completeness, connectedness  
4/2, Tu  4/8, M  Continuous functions  Sections 21,22,1720 notes 

4/9, Tu  4/10, W  Review for Midterm II  Sections 13,21,22,1720 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 2326  
Power series  
4/23, Tu  4/29, M  Weierstrass Approximation Theorems  Section 27 notes 

4/30, Tu  5/6, M  Riemann Integral  Sections 3234 notes 

5/7, Tu  5/9, Th  Review for Final Exam  everything above  none 
5/21, Tu  final exam, 11:15am1:45pm: info 