Math 4100 - Real Analysis - Fall 2018


NOTE:


Instructor:
Akos Magyar                                                                          Location: Boyd GSRC, Room: 303
Office: Boyd GSRC 603A                                                                         Time: T/TH: 12:30-1:45
Email: amagyar@uga.edu                                                                         Office Hours: T/TH 4:30-5:30

Tetxbook: Understanding Analysis, by Stephen Abbott  (2015)
Syllabus: I will cover most of the book and possibly some additional topics

Exams: There will be two in-class midterm exams and one in-class final exam

                Midterm Exam I - Thursday, October 4th

                Midterm Exam II - Thursday, November 15th

                Final Exam: TBA
 
Grades: Homework: 30%     Two Midterms: 15% each      Final: 40%

Grading Scale: A: 88-100 A-:84-87:  B+: 80-83 B: 76-79 B-: 70-75 C+: 65-69 C: 61-65 C-: 56-60 D: 51-55 F: 0-50


Class 1    Class 2   Class 3   Class 4   Class 5   Class 6   Class 7   Class 8   Class 9   Class 10  Class 11  Class 12

Class 13  Class 14  Class 15   Class 16  Class 17  Class 18  Class 19   Class 20   Class 21   Class 22    Class 23   Review Class  Midterm 2 - Solutions



Homework:  Homework will be assigned weekly (it is suggested that you try all problems of the book), see below

Homework
* indicates Math 6100 questions, (bonus for Math 4100)


Homework 1 (Some Preliminaries and Properties of Completeness), Due: Tue. Aug. 28th
                    
1.2: 3,5,7,8,11*,12*    1.3: 2a,3,4,5,7,9     1.4:  2,3,5

Homework 2
(Countability and Review of Limits of Sequenences), Due: Th. Sept. 6th
                   
1.4: 7,8   1.5:  5,6,7   2.2: 1,2,8

Homework 3 (Limit Theorems and Completeness Revisited),  Due: Th. Sept. 13th
                   
2.3: 2,3,7,11*  2.4: 4,5  2.5: 1, 4*  

Homework 4
 
(Infinite Series), Handout Due: Tu. Sept. 25th
                     2.6: 1,4,7*   2.7: 1,3,5,6*,11*

Homework 5
(Topology of the Reals),  
Due: Tue. Oct. 2nd
                   
3.2: 2,3,4,10,12*     3.3: 1,2,5,7,9*

Midterm Exam I
- Thursday, October 4th

Homework 6  (Functional Limits and Continuity, Due: Tue. Oct. 16th
                   
4.2: 2b, 3c, 4bc, 7 4.3: 4, 6a-e, 10, 12, 14* 


Homework 7 (Differentiation), Due: Tue. Oct. 25th
                   
4.4: 3, 4a,b,c*, 8, 13*  4.5: 2a,b, 3, 4*, 7


Homework 8  (Sequences and Series of Functions),  Due: Tue. Nov. 8th
                 5.2: 
4, 7, 12*                5.3:  1, 2, 6,  10*                5.4: 7a



Midterm Exam II - Thursday, November 15th

Homework 9  (Power Series), Due: Tue. Nov. 23rd



Homework 10 (Integration)