MA 403 Real Analysis (Autumn 2017-18)
Instructor Name: Ameer Athavale
Course Type: Theory
No. of Credits: 8
Pre-requisites: MA 105 - Calculus
Course Content:
Sequences, Series, Limits, Continuity, Differentiation, Topology on Real Line, Riemann integral and its properties, Sequences and series of functions, uniform convergence of functions.
Sequences, Series, Limits, Continuity, Differentiation, Topology on Real Line, Riemann integral and its properties, Sequences and series of functions, uniform convergence of functions.
Books:
None
None
Lectures: No attendance policy. Sir covers everything (including proofs) on lectures and posts just the results on lecture slides uploaded to Moodle. Athavale Sir has excellent teaching skills and the quality of lectures is very good. Sir at times also discusses with students on how to go through about in proofs and guides us to correctly thinking about a problem.
Assignments:
10 ungraded tutorial which were of considerable difficulty.
10 ungraded tutorial which were of considerable difficulty.
Exams and Grading:
2 quizzes(15 marks each), Midsem (30 marks) and Endsem(40 marks). The exams were in general of the same level as the tutorials and in fact some questions in the exam paper were directly from the tutorials. Sir follows absolute grading policy but inflates marks in a test if everyone gets less.
Online Useful Content:
UC Davis Lecture Notes: https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/
Follow up Courses:
General Topology, Algebraic Topology, Complex Analysis (Math Department Course), Multivariable Calculus, etc
2 quizzes(15 marks each), Midsem (30 marks) and Endsem(40 marks). The exams were in general of the same level as the tutorials and in fact some questions in the exam paper were directly from the tutorials. Sir follows absolute grading policy but inflates marks in a test if everyone gets less.
Online Useful Content:
UC Davis Lecture Notes: https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/
Follow up Courses:
General Topology, Algebraic Topology, Complex Analysis (Math Department Course), Multivariable Calculus, etc
Pro-tips:
Do:
1) Extremely important to solve the exercises the same week in which they are given or else the load goes on increasing.
2) Attend every class and take notes.
Personal Comments:
This is the best course I have taken in the institute till now. It gives you an introduction to what theoretical(pure) mathematics is like.
Do:
1) Extremely important to solve the exercises the same week in which they are given or else the load goes on increasing.
2) Attend every class and take notes.
Personal Comments:
This is the best course I have taken in the institute till now. It gives you an introduction to what theoretical(pure) mathematics is like.
Respondent: Keshav Janyani
Comments
Post a Comment