Course Review : MA105

CALCULUS

~ by Nabeel Ahmed

Disclaimer: The content of this page are opinions expressed by individual students. The information provided is for guidance purposes. Use the information at your own risk.

Total Credits

8

During which semester & year you took the course ?

Autumn 2019

Course Instructor

Prof. Sudhir Ghorpade

What grade was awarded to you?

AA

Course Difficulty (On a scale of 1 to 5)

5

Comment on the grading by the professor in your opinion?

Exams are checked ruthlessly, so answer with surgical precision. Overall grade brackets may be slightly more relaxed, but are tough nonetheless

What was the Attendance Policy?

It is a first year course so no mandatory attendance as such but it is highly recommended to not skip a single lecture.

Pre-Requisites?

None

This Course evaluation comprises of?

Tutorial short quizzes(every tut), 2 quizzes, Midsem, Endsem

What are the topics covered in the course?

Old stuff (JEE, but with immense rigour): Sequences, definitions of limits, continuity, differentiability, associated theorems(with proofs)
Brand new stuff: 1) Multivariable calculus: continuity, differentiability, integration, optimization of functions of two or more variables
2) Vector calculus and asssociated theorems

How were the Lectures for this course?

Lectures will get challenging if and only if one misses a proof or a train of thought. If this happens, then one tends to remain lost for the remainder of the lecture as well. Try not to zone out and follow every word the professor says (especially proofs)

How were the Exams (Quizzes, Mid-sem and End-sem) for this course?

Say goodbye to MCQs. Almost all our papers were subjective and involved proving things. In fact, if you look at the solutions to papers, they look more like English papers than math solutions, they are so text-heavy and lack computation. That is how rigorous, logical, and proof-y it gets. It is like writing an argument or a debate. It is completely OK if you solve just a fraction of a paper(even if that fraction is around 0.5).

Any tips for the junta to perform well in the course?

1)Solve all tutorials BEFORE attending the tut, even unmarked/extra questions.
2)Revise previous lectures before attending future lectures, as not doing this tends to zone people out(eg. forgetting definitions). Recap after every lecture.
3) If nothing else, definitely solve the tutorials before the exams. Some questions are directly from the sheets.

References used in this course:

I do think tutorials are more than enough.
A book “Calculus by Tarasov” is a quick, fun read(not a textbook). It adds the right direction and dimension to the course and is very well-written.
“Ten tips for writing mathematical proofs” by Katherine Ott is a nice paper.

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