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 6.


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 (9/22)


Lecture 14 (9/25)


Lecture 15 (9/27)


Lecture 16 (9/29)


Lecture 17 (10/11)


Lecture 18 (10/13)


Lecture 19 (10/16)


Lecture 20 (10/18)


Lecture 21 (10/20)


Lecture 22 (10/23)


Lecture 23 (10/25)


Lecture 24 (10/27)


Lecture 25 (10/30)


Lecture 26 (11/1)


Lecture 27 (11/3)


Lecture 27


Lecture 28


Lecture 29


Lecture 30


Lecture 31


Homework 1
Due Friday 9/29 during class


Homework 2
Due Wednesday 11/15 during class


Homework 1 solutions
Note, in the last problem, last paragraph it should say: it implies that, if N1= max{N,N0} and n >N1, then and then the last formula


Exam 1 solutions


Exam 2. Take home. Due 11/20


Exercises don in class on 10/2


Sections of the book you need to know for exam 1: All the way to section 3.5 of Rosenlitch included


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, 15, 16, 17, 18, 19, 24, 26, 27, 28, 29, 30 to 38
Ch 4: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, From Bartle
Page 53: 6.A to 6.H, 6.R to 6.U
Page 65: 7.B to 7.F, 7.K to 7.M, 7.P
Page 82: 8.K, 8.M, 8.O, 8.Q, 8.R, 8.V,
Page 93: 9.A to 9.C, 9.H to 9.N, 9.R to 9.S
Page 109: 11.A to 11.C, 11.G to 11.S


Extra credit problems


Extra credit problem 1 solution


Extra credit problem 2 solution


I will be updating the extra credit list of problems regularly. Each problem, if correctly solved, is worth 1% of the total grade. Note that every problem is due on a different date. No extensions.