Mathematics I
MAL100 (2023-24-M)
Announcement: End-term exam will take place on December 7.
Instructor
Anurag Singh (anurags@iitbhilai.ac.in)
Lectures
Timings: Wednesday (10:30 - 11:25), Thursday (11:30 - 12:25), Friday (10:30 - 11:25)
Venue: L209
Tutorials
The tutorials are scheduled on Tuesdays (11.30 -12.25), and the students are distributed into the following 5 batches for tutorial classes. The students should attend the tutorial classes in lecture rooms assigned to their batch.
Mr. Nitesh Prajapati (niteshp@iitbhilai.ac.in) Batch I
Venue: L103
Mr. Nisith Ranjan Hazra (nitishranjan@iitbhilai.ac.in) Batch II
Venue: L104
Mr. Bhaskar Paul (bhaskarpaul@iitbhilai.ac.in) Batch III
Venue: L203
Mr. Himanshu Chandrakar (himanshuc@iitbhilai.ac.in) Batch IV
Venue: L204
Ms. Suman (sumankau@iitbhilai.ac.in) Batch V
Venue: ED1 201/202
Evaluation Plan
There will be two quizzes. Each quiz will be of 50 minutes in duration and will carry 10% weightage. The mid-semester examination will carry 35% of weightage and the end-semester examination will carry 40% weightage. The remaining 5% weightage is given to the class assessment (including attendance). The tentative dates for the two quizzes are September 6, 2023, and November 8, 2023.
Main References
This is a restricted list of interesting and useful books that will be touched on during the course. You need to consult them occasionally.
Thomas' Calculus.
Michael Spivak, Calculus.
Tom M. Apostol, Calculus Volume 1: One Variable Calculus with an Introduction to Linear Algebra.
Robert G. Bartle & Donald R. Sherbert, Introduction to Real Analysis.
Lecture Notes
These notes may have some typographical errors; please let me know if you find any.
Lecture 1 (August 9)
Lecture 2 (August 10)
Lecture 3 (August 11)
Lecture 4 (August 16)
Lecture 5 (August 17)
Lecture 6 (August 18)
Lecture 7 (August 23)
Lecture 8 (August 24), Converted to a discussion session
Lecture 9 (August 25)
Lecture 10 (August 30)
Lecture 11 (August 31)
Lecture 12-Discussion (September 01)
Lecture 13 (September 6)
Quiz -1 (September 8)
Lecture 14 (September 13)
Lecture 15 (September 14)
Lecture 16 (September 15)
Lecture 17 (September 20)
Lecture 18 (September 21)
Lecture 19 (September 22)
Lecture 20 (September 27)
Lecture 21 (October 11)
Lecture 22 (October 12)
Lecture 23 (October 13)
Lecture 24 (October 19)
Lecture 25 (October 20)
Lecture 26 (November 1)
Lecture 27 (November 2)
Lecture 28 (November 3)
Lecture 29 (November 8)
Lecture 30 (November 9)
Lecture 31 (November 10)
Lecture 32 (November 15)
Lecture 33 (November 16)
Lecture 34 (November 22)
Lecture 35 (November 23)
Lecture 36 (November 24)
Lecture 37 (November 29)
Stokes' & Divergence theorem
Practice Problems
Problem sheet 1 (Solution hints)
Problem sheet 2 (Solution hints)
Problem sheet 3 (Solution hints)
Quiz-1 solution sheet
Problem sheet 4 (1) (Solution hints)
Problem sheet 4 (2) (Solution hints)
Problem sheet 5 (Solution hints)
Problem sheet 6 (Solution hints)
Problem sheet 7 (Solution hints)
Problem sheet 8 (Solution hints)
Course feedback
You are encouraged to submit your feedback and suggestions for the improvement of this course. (Feedback form)