Math 112:Introductory Real Analysis

Tuesday and Thursday, 1 - 2:30pm, Science Center 507

Course website: math.harvard.edu/~tcollins/Math112.html

Instructor:

Tristan Collins
Email: tcollins at math dot harvard dot edu
Office: Science Center 233

Office Hours:

Monday and Thursday 3-4:30pm

How To Study Math:

FIGHT IT! .

Syllabus

The Syllabus for the course is available here .

Course Assistants

Johann Gaebler- johann dot gaebler at gmail dot com
Jacob McNamara- jmcnamara at college dot harvard dot edu

Progress

This is approximate. All references are to the course text by Walter Rudin. For the material to be covered, see the Syllabus above.

Date Reading Homework
Jan. 29 Chapter 1 of Rudin: The Real Number System
Homework 1 Solutions
Feb. 3, 5 Chapter 1/2 of Rudin: The Real Number System, Point Set Topology Homework 2 Solutions
Feb. 12 Chapter 2 of Rudin: Basic Topology Homework 3
Feb. 17, 19 Chapter 2 of Rudin: Point set topology, compactness Homework 4
Feb. 24, 26 Chapter 2 of Rudin: Compactness Midterm
Mar. 3, 5 Chapter 2/3 of Rudin: Connected sets, Sequences, Cauchy Sequences Homework 5 Solutions
Mar. 10, 12 Chapter 3 of Rudin: Completeness, Sequences, and Series Homework 6
Mar. 24, 26 Chapter 3/4 of Rudin: Series, Tests for convergence, Continuity Homework 7
Mar. 31, Apr. 2 Chapter 4 of Rudin: Continuity Homework 8
Apr. 7 Midterm Midterm 2
Apr. 9 Chapter 5 of Rudin: Differentiation Homework 9
Apr. 14, 16 Chapter 5 of Rudin: Differentiation Homework 10
Apr. 21, 23 Chapter 6 of Rudin: Integration Homework 11
April 28 Chapter 6 of Rudin: Change of variables, and the fundamental theorem of calculus