Instructor : Swapneel Mahajan
Course Description : The course content can vary slightly depending on the instructor.
As the name suggests the course deals with the study of Real Numbers. Primarily we try to answer the questions, “What are Real Numbers?”. We try to define them rigorously while assuming as little as possible (mainly the existence and some properties of Natural Numbers). Topics include limits, definition of real numbers as limits of sequences of rational numbers, metric spaces, topological properties of the real number set, etc. In this rendition of the course we used Category Theory to describe the many results that were discussed in the course.
Logistics :
- 3 hours of lectures + 1 hour tutorial
- Varies with prof: small objective surprise quizzes, midsem and endsem
- Standard institute attendance requirement (80%) can vary with prof.
Comments on Instructor : The prof is quite enthusiastic and teaches the material in his own unique way. Notes are provided which are quite comprehensive.
Who will find it interesting : If you liked MA 105 then you would love this. The course doesn’t have a lot of direct applicability in CS. Though you would learn a lot of important mathematical concepts and many answers to many fascinating questions.
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