MAT 320: Introduction to Analysis

Stony Brook            Spring 2018

 

Effective 3/6, this website is for MAT 320 only; the MAT 319 website is here. MAT 319 and 320 OHs are now separate.

Final Exam Information, Exam

Midterm II Information, Exam, Solutions
Practice quizzes 1, 2, 4, practice final and solutions 1, 2, 3, 4, final from MIT 18.100B Fall 2010
Official errata to Ross's book, more on Baire Spaces, and more on Theorem 21.11
Midterm I Information, Exam, Solutions
General Course Information, Office Hours, MLC Hours, Some Advice
Mini-Quiz, Sequences and Series, Power Series

Tentative Schedule

The lectures are TuTh 11:30-12:50 in Math P-131; the recitations are MW 10-10:53 in ESS 181.
All assigned readings below are from Ross's required textbook.
HW11 is due at the start of the recitation on Wednesday, 5/2

Dates TopicRead Problem Set
1/22, M - 1/29, M Mathematical inductionChapter 1 #1
solutions
The Completeness Axiom
1/30, Tu - 2/5, M Limits of sequencesSections 7-9 #2
solutions
Limit theorems for sequences
2/6, Tu - 2/12, M Cauchy sequencesSections 9-11 #3
solutions
Subsequences
2/13, Tu - 2/19, M More on subsequencesSections 11,12 #4
solutions
lim inf and lim sup
2/20, Tu - 2/26, M SeriesSections 14-16 #5
solutions
Convergence tests for series
2/27, Tu - 2/28, W Review for Midterm ISections 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, ThMetric spaces Section 13 #6
solutions
Convergence, compactness
3/12, M - 3/15, Th no classes, no office hours
3/19, M - 3/26, MMore on compactness pp171-179
notes
#7
More on completeness, connectedness
3/27, Tu - 4/2, MContinuous functions Sections 21,22,17-20
notes
#8
4/3, Tu - 4/4, W Review for Midterm IISections 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 convergenceSections 23-26 #9
solutions
Power series
4/17, Tu - 4/23, M Weierstrass Approximation TheoremsSection 27
notes
#10
solutions
4/24, Tu - 4/30, M Riemann IntegralSections 32-34 #11
5/1, Tu - 5/3, Th Review for Final Exameverything above none
5/15, Tu final exam, 11:15am-1:45pm, in Math P-131
 
 

This page is maintained by Aleksey Zinger.
Last modified: March 5, 2018.