Math 4121
Introduction to Lebesgue Integration
Spring, 2014

Mohan Kumar

Topics. This course is the second part of a rigorous introduction to mathematical analysis. We hope to cover Chapters 8,9,10 and 12 from the text book mentioned below.

Time. Classes meet Tuesdays and Thursdays, 11:30 am to 1 pm in Cupples I, Room 199.

Prerequisites. Math 4111, or the permission of the instructor.

Text. The lectures will follow chapters 8,9,10 and 12 of the book Mathematical Analysis by Tom Apostol, second edition, published by Addison-Wesley, ISBN 0-201-00288-4 (1974). I will attempt to cover a bit more on measure theory than is covered in the book.

Homework. There will be weekly homework which will be posted here on or after Thursdays, but before Sunday and to be returned on next Thursday. You are encouraged to collaborate on homework, and to work additional exercises from the relevant problem sections. Solutions are due at the end of class on the due date. Late homework will not be accepted.

Tests.The first midterm will be on February 13, in class. This will not be counted for final grades. The main purpose is for a feed back for me and to let you know the kind of possible improvements you should make during the semester. The next midterm examination: Thursday, March 20, 2014, in class and this will count for your final grade. Cumulative Final Examination: Monday May 5, 2014, 1:00 PM - 3:00 PM, in class.

Grading. One grade will be assigned for homework, one for the midterm examination, and one for the final examination. These three will contribute equally to the course grade. Letter grades, computed from the course score will be at least the following:

Course score at least:





Letter grade at least:





Students taking the Cr/NCr or P/F options will need a grade of D or better to pass. Students auditing the course will need to attend at least 25 lectures to receive a successful audit grade.

Office Hours. See the instructor in Cupples I, room 111A, on Tuesdays and Thursdays from 2-3pm, or make an appointment by telephone or email.

Questions? Return to Mohan Kumar's home page for contact information.

Last modified on January 5, 2014.