Math 4317 - Analysis I - Syllabus

All the handouts will be posted in this web page.


Time and location Lectures are on Mondays, Wednesdays and Fridays from 9:05am to 9:55pm in Skiles room 246.


Instructor

Guillermo Goldsztein
Skiles Building, Room 112
Phone: 404-894-2286
e-mail: ggold@math.gatech.edu
Office hours: Mondays and Wednesdays from 10am to 11:00pm


Grader

Hamed Mousavi
e-mail: moosavi.hamed69@gmail.com


Material to be covered and prerequisites


Books

"Introduction to Analysis", by Maxwell Rosenlicht. We will cover Chapters 1 to 4 plus some materila from Bartle.
"The elements of Real Analysis". by Robert G. Bartle, Second Edition. We will cover the introduction, Chapters 1to 4 and 7, but we will not cover sections 10 and 14. You do not need to buy either one.


Grading policy

There will be two homeworks. Each will be worth 20% of the grade. The first homework will be due on September 29. The second on November 13. Each homework is to be considered a practice exam for the two in class exams, on October 6 and on November 17. These exams together will be worth 40% of the grade (20% each). The homework is to be done individually. There will be a final during the final period (December 13, 8am to 10:50am) worth 20% of the grade. A = 90% or more, B = 80% to 89%, C = 70% to 79%, D = 60% to 69%, F= below 60%.


Georgia Tech honor code


Lecture 1 (8/21)


Lecture 2 (8/23)


Lecture 3 (8/25)
We are done Chapter 1 of Rosenlicht and the Introduction of Bartle. Practice by solving some problems from these chapters.


Lecture 4 (8/28)


Lecture 5 (8/30)


Lecture 6 (9/1)


Lecture 7 (9/6)


Lecture 8 (9/8)


Lecture 9 (9/13)


Lecture 10 (9/15)


Lecture 11 (9/18)


Lecture 12 (9/20)


Lecture 13


Lecture 14


Lecture 15


Lecture 16


Lecture 17


Lecture 18


Lecture 19


Lecture 20


Lecture 21


Lecture 22


Lecture 23


Lecture 24


Lecture 25


Lecture 26


Lecture 27


Lecture 28


Lecture 29


Lecture 30


Lecture 31


Recommended problems to practice:
From Rosenlicht
Ch 1: 3, 4, 7, 8
Ch 2: 2, 6, 10, 12, 13, 14
Ch 3: 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14