This is the website for the course MA702: Mathematical Analysis. It is a course offered to Integrated PhD students.
The main book we will be following is "Real Analysis" by N.L.Carothers. Other books we might consult from time to time are:
1) "Principles of Mathematical Analysis" by Rudin.
2) "Introduction to Real Analysis" by Bartle and Sherbert.
3) "Topology" by Munkres.
4) "Chaotic Dynamics: Fractals, Tilings and Substitutions" by Geoffrey Goodson
5) "Real Analysis" by Folland
I have taught this same course last year. Here is the website MA702 (Mathematical Analysis)
I also taught a similar course last semester. Here is the website M204 (Metric Spaces)
Grading: Homework and Quizzes = 30%
Mid Term = 30%
Final Exam = 40%
Grading will be absolute!
My email address is ritwikm[at]niser.ac.in
Quiz
Homework
Practice Problems
Mid Term Exam
Mid Term Exam Solutions to Mid Term Exam
Final Exam
Final Exam Solutions to Final Exam