Math 113 Homepage (Fall 2009)

ANNOUNCEMENTS:

• Scroll down for calendar/homework assignments.
• Here are solutions to homeworks, prepared by the grader:
  HW2
  HW3
  HW4
  HW5
  HW6
  HW7
  HW8

Math 113 is a rigorous course in real analysis for undergraduates who are preparing for graduate school or for the B.Sc. degree in Mathematics.


The textbook for this course is Mathematical Analysis: an Introduction, by A. Browder.


QUICK FACTS

Grading
Your grade is based on Homework (25%), Midterm Exam (25%), and a Final Exam (50%). The final exam is cumulative: it will cover all the material of this course.

Final Exam
The final exam is a three hour exam scheduled for December 16.

Midterm Exam
The midterm exam will be given in class on Tuesday, October 27 .

Homework
Homework will be assigned every week. All homework will be collected and returned on Tuesdays. Late homeworks are not accepted. The lowest homework score in the semester will be dropped. You may discuss homework problems and share ideas. However, you must write up your solutions on your own and without assistance.

Office Hours
I will be in my office, Kassar 214, on Mondays 1-3, and also by appointment.




The following syllabus will be updated periodically with new homework assignments and sections to be covered during the week.

Calendar	Material Covered	HW due Tuesday of following week
Week One Sept. 9-11	The real numbers Sections
Week Two Sept.14-18	The real numbers Sections 1.4-1.6	p. 23 #2, 6, 9, 13, 14.
Week Three Sept. 21-25	Real numbers, and metric spaces	Homework: click here
Week Four 9/28-10/2	Topological spaces	Homework: p.150, #6,7,8,9,10,12 Note: the last two problems added 10/2.
Week Five 10/5-10/9	Contraction mappings, Compactness	Homework: p. 150, #13,16,17,18
Week Six 10/13-10/16	Compactness/Connectedness	Homework: click here Due: Thursday Oct. 22
Week Seven 10/19-10/23	Connected sets/Stone-Wierstrass	Study for midterm on Tuesday 10/27
Week Eight 10/26 - 10/30	Set functions and outer measures	Homework:#1,2,3,4,5,10, chapter 9
Week Nine 11/2-11/6	Sigma algebras, Lebesgue measure	Homework: (due 11/17) click here Due: Thursday Oct. 22
Week Seven 10/19-10/23	Connected sets/Stone-Wierstrass	Study for midterm on Tuesday 10/27
Week Eight 10/26 - 10/30	Set functions and outer measures	Homework:#1,2,3,4,5,10, chapter 9
Week Nine 11/2-11/6	Sigma algebras, Lebesgue measure	Homework: (due 11/17) click here New posting: corrected a typo!
Week Ten 11/9-11/13	Lebesgue meausure, and integration	HW: just the assigment of Week Nine
Week Eleven 11/16-11/20	Convergence theorems, L^p spaces	HW: p. 248 #6,7,8,9,10,11,12,17,18,19 HW is due Tuesday, Dec. 1
Week Twelve 11/23-11/27	Integral inequalities	No additional HW
Week Thirteen 11/30-12/4	Changes of variable, Multiple integrals	HW: p. 248 #21,23,24,25,27 Due: Tuesday Dec.8 (in class)