This is the website for the course M301: Lebesgue Integration. I will be maintaining this website regularly during the course.
References are:
1) ``Measure and Integration'' by S. Kesavan. This is the main book we will be following.
Other books that we might consult from time to time are
2) ``Real Analysis: Modern Techniques and Their Applications'' by G. Folland.
3) ``Real Analysis'' by E. Stein and R. Shakarchi.
4) ``Real and Complex Analysis'' by W. Rudin.
Grading: Continuous Assesment (Homework + Quizzes) = 30%
Mid Term = 30%
Final Exam = 40%
Grading will be absolute.
Attendance is compulsory. I will deduct two points from the Continuous Assement portion for every single class that you miss without a
valid reason. Hence, even missing one class can affect your grade (for example, if your final score was otherwise 91, but you missed one class, you will
end up getting an AB instead of an AA).
Attendance will be taken 10 minutes after the class starts. If you enter the class after 10 minutes, you
will be marked absent.
Examples of valid reasons include: being unwell accompanied with a doctor's note, an important exam that you might have to give (such as CSIR etc)
that clashes with the timing of the course or a family emergency. These reasons have to be accompanied by a valid proof (for example, if you are claiming that you missed a class due to an exam, you will need to show me your admit card for the exam). Examples of reasons that are not valid include: caliming that you are unwell without any doctor's note, saying that you woke up late etc. If you have a valid reason to miss a class, I will not deduct the two points. Howvever, you are still responsilbe for studying the topics that you missed.
If your attendance is below 80 percent, you will not be allowed to sit for the final exam. I will however, mark everyone present for the FIRST week of classes (5th to 9th January, 2026). You are nevertheless responsible for all the material covered in the first week.