MTL 100: Calculus - Course information
Class teachers*:
|
Name |
Groups |
Section code |
|
|
Prof. Debdip Ganguly |
G1-5 |
MTL100E |
|
|
Prof. Ekata Saha |
G6-10 |
MTL100F |
|
|
Prof. Surjeet Kaur |
G11-15 |
MTL100G |
|
|
Prof. S. Sivananthan |
G16-20 |
MTL100H |
|
|
Prof. Aparajita Dasgupta |
G21-25 |
MTL100A |
|
|
Prof. N. Shravan Kumar |
G26-30 |
MTL100B |
|
|
Prof. Amit Priyadarshi |
G31-35 |
MTL100C |
|
|
Prof. Biplab Basak |
G36-40 |
MTL100D |
*More details can be found in the department website:
http://maths.iitd.ac.in/drupal/faculty
Course coordinator: Prof. S. Sivananthan
Course contents:
Sequences: Real number system, Archimedean Property, Sequences of real numbers: Definitions of sequence and convergence, bounded sequences, limit superior and inferior, Cauchy sequence.
Infinite Series: Series of real numbers, absolute and conditional convergence, comparison, Cauchy condensation, ratio, root tests, Dirichlet’s and Abel’s test for convergence.
Differential Calculus: Limits, continuity, uniform continuity, differentiability, mean value theorems, Taylor’s theorem, Taylor’s series, power series, maxima and minima.
Multivariable Differential Calculus: Functions of several variables, limits, continuity, differentiability, gradient, directional derivatives, chain rule, Taylor’s theorem, Maxima & minima and method of Lagrange multipliers.
Definite Integral: Definition of Riemann integral, fundamental theorems, improper integrals of first and second kind, beta and gamma functions, applications to area and arc length.
Multivariable Integral Calculus: Double and triple integrals, Jacobian and change of variables formula. Applications to Area, Volume, Surface area and surface integrals. Vector Calculus: Vector fields, divergence and curl, line integrals, Tangents & Normals, Parametrization of curves and surfaces, Green, Gauss, Stokes theorems and applications.
Reference books:
1. K. A. Ross, Elementary Analysis: The Theory of Calculus, Springer (for single variable calculus)
2. G. B. Thomas and R. L. Finney, Calculus, Pearson (all topics)
Note: We recommend the students to read the above-mentioned reference books.
A hand-out lecture notes by Prof. K. Sreenadh can be found in the following link: (http://web.iitd.ac.in/~sreenadh/MTL100/main.html).
Information about the class:
1. Lectures: Weekly four hours of recorded video lectures will be uploaded on the Impartus MTL100 page (Tuesday and Friday around 5-6pm). We will also upload the relevant tutorial problems and practice problems on the same page.
2. Online interactive sessions and tutorials: we will use MS teams.
3. Online Interactive sessions: We will conduct live interactive sessions to clarify your doubts on every Tuesday and Friday (if there is any change, the class teacher will inform you).
4. Online Tutorial sessions: As per institute schedule, we will conduct the tutorial sessions in live.
5. We will use piazza for our class discussion:
Enroll for the same using the link: http://piazza.com/iitd.ac.in/spring2021/mtl100
The access code for the class is “mtl100calculus”
Grading Policy:
There will be one minor examination of 30%, one major examination of 40%, and two quizzes which carry the remaining 30%(the weightage for the quiz will be announced later).
Tentative examination schedule:
|
Exam |
Date and time |
Tentative syllabus |
|
Mock test |
1st December (Tuesday) at 5:30 pm |
NA |
|
Quiz1 |
6th December (Sunday) at 2:30 pm |
Sequence and series |
|
Minor 1 |
December 27 – 30 (Refer to institute exam schedule) |
Topics: Sequences, series and differential calculus(one variable) |
|
Quiz 2 |
24th January (Sunday) at 2:30 pm |
Multivariable differential calculus |
|
Major |
February 10 – 14 (Refer to institute exam schedule) |
Entire syllabus |
Important guidelines:
1. If you find any difficulty in the course, you should immediately inform your class teacher. So that we will do our best to help you on this.
2. You must see the recorded lectures before you come for the interactive sessions, so that the session will be helpful and useful for everyone.
3. If you have any problem with the internet connection, then you should report the issue to the UG administration immediately and inform the same to your class teacher.
Tutorial teachers and schedule:
|
Class Teacher |
Group No. |
Tutorial Teacher |
Time |
Email Ids |
|
Prof. Debdip Ganguly |
1 |
Deepak Kumar |
2:00-2:50 PM Monday |
|
|
2 |
Sushmita Rawat |
2:00-2:50 PM Monday |
||
|
3 |
Prof. Debdip Ganguly |
2:00-2:50 PM Tuesday |
||
|
4 |
Dr. Arvind Kumar |
2:00-2:50 PM Tuesday |
||
|
5 |
i. Divyam Gupta ii. Ajay Sailopal |
2:00-2:50 PM Wednesday |
||
|
Prof. Ekta Saha |
6 |
Dr. Surinder Kaur |
2:00-2:50 PM Wednesday |
|
|
7 |
Aakash Choudhary |
2:00-2:50 PM Thursday |
||
|
8 |
i. Nikhil Kapoor ii. Manthan Kabra |
2:00-2:50 PM Thursday |
||
|
9 |
Prof. Ekta Saha |
2:00-2:50 PM Friday |
||
|
10 |
Priyamvada |
2:00-2:50 PM Friday |
||
|
Prof. Surjeet Kaur |
11 |
Dr. Surinder Kaur |
2:00-2:50 PM Thursday |
|
|
12 |
Soniya Takshak |
2:00-2:50 PM Thursday |
||
|
13 |
Pooja |
2:00-2:50 PM Friday |
||
|
14 |
Jyotshna Sharma |
2:00-2:50 PM Friday |
||
|
15 |
i. Sumanth Varambally ii. Utkarsh Gupta |
2:00-2:50 PM Monday |
||
|
Prof. S. Sivananthan |
16 |
Himanshu Sharma |
2:00-2:50 PM Monday |
|
|
17 |
Prof. Sivananthan |
2:00-2:50 PM Tuesday |
||
|
18 |
i. Yashank Singh ii. Shanmukhi Sripada |
2:00-2:50 PM Tuesday |
||
|
19 |
Bhawna |
2:00-2:50 PM Wednesday |
||
|
20 |
Dhiraj Patel |
2:00-2:50 PM Wednesday |
||
|
Class Teacher |
Group No. |
Tutorial Teacher |
Time |
Email Ids |
|
Prof. Aparajita Dasgupta |
21 |
Abhilash Tushir |
4:00-4:50 PM Friday |
|
|
22 |
Santosh Kumar Nayek |
4:00-4:50 PM Friday |
||
|
23 |
Dr. Arvind Kumar |
4:00-4:50 PM Monday |
||
|
24 |
Dr. Surinder Kaur |
4:00-4:50 PM Monday |
||
|
25 |
Prof. Aparajita Dasgupta |
4:00-4:50 PM Tuesday |
||
|
Prof. N. Shravan Kumar |
26 |
Prof. N. Shravan Kumar |
4:00-4:50 PM Tuesday |
|
|
27 |
Ritika Singhal |
4:00-4:50 PM Wednesday |
||
|
28 |
i. Anchit Tandon ii. Sakshi Taparia |
4:00-4:50 PM Wednesday |
||
|
29 |
Dr. Arvind Kumar |
4:00-4:50 PM Thursday |
||
|
30 |
Aastha Agarwal |
4:00-4:50 PM Thursday |
||
|
Prof. Amit Priyadarshi |
31 |
Prof. Amit Priyadarshi |
11:00-11:50 AM Friday |
|
|
32 |
Dr. Biswarup Biswas |
11:00-11:50 AM Friday |
||
|
33 |
Manuj Verma |
11:00-11:50 AM Monday |
||
|
34 |
Gyanendra Kumar Verma |
11:00-11:50 AM Monday |
||
|
35 |
Sachin |
11:00-11:50 AM Tuesday |
||
|
Prof. Biplab Basak |
36 |
Prof. Biplab Basak |
11:00-11:50 AM Tuesday |
|
|
37 |
Manisha Binjola |
11:00-11:50 AM Wednesday |
||
|
38 |
Abhinay Kumar Gupta |
11:00-11:50 AM Wednesday |
||
|
39 |
Dr. Biswarup Biswas |
11:00-11:50 AM Thursday |
||
|
40 |
Anshu Yadav |
11:00-11:50 AM Thursday |