Math 405: Introduction to Real Analysis

Course Description

This is an introduction to real analysis. Topics covered in the course will include, The Logic of Mathematical Proofs, Construction and Topology of the Real Line, Continuous Functions, Differential Calculus, Integral Calculus, Sequences and Series of Functions.

Lectures are Monday and Wednesday 1:30-2:45 in Maryland 109. Section meets Friday 1.30:2.20 in Maryland 109

Problem sets will be due in class on Mondays. No late homework will be accepted. The lowest grade will be dropped.

Instructor: Prof. Yannick Sire (sire*AT*math.jhu.edu); office hours: MW, 3-4pm Krieger 208

TA: Zehua Zhao (zzhao25*AT*math.jhu.edu) office hours: Th 4-5 pm Krieger 201

The syllabus is here.

References

The course text is

R. Strichartz, "The Way of Analysis," Rev. Ed. (Available on Amazon for ~$40)

Exams and grading policy

There will be three exams.

The dates of the exams are

First Midterm: Wednesday, March 14th. (30%)

Second Midterm: Wednesday, April 11th. (30%)

Third Midterm: Wednesday, May 2nd (30%)

HW: 10%

Homework assignments for 110.405 Spring 2018

HW1 (Due Monday Feb 12th)

p13: 1,2,4,6

p37: 2,3,4,5

HW2 (Due Monday Feb 19th)

p37: 7,9

p48: 4,5,6,9c

p54: 2,3

HW3 (Due Monday Feb 26th)

p 84: 1a,c,2,3,5,7

p96:1,2

HW4 (Due Monday March 5th)

p.98: 6, 7, 8, 9, 11, 12, 15

HW5 (Due Monday March 12th)

p.125: 1,2,5,7,8

HW6 (Due Monday March 26th)

p126: 10,15

p.138:4, 6, 7, 8, 11, 12

HW7 (Due Monday April 2nd)

p.152: 5, 6, 7, 8, 9

p.163: 1, 2, 3, 4, 6

HW8 (Due Monday April 9th)

p.165: 7, 9, 10, 12

p.176: 1, 3, 4, 7, 10, 12

HW9 (Due Monday April 23rd)

p.192: 1,3,4

p.217: 1,4,5

p.231: 4,5,6