IST - Multivariable Calculus and Differential Forms (2022)

Speakers and Syllabus

Speakers and Associates

  • Speakers :

    • Dr. V. V. Acharya, Fergusson College, Pune
    • Prof. Vinayak Sholapurkar, S. P. College, Pune
    • Prof. Saurabh Shrivastav, IISER, Bhopal
    • Prof. Gopal Krishna Srinivasan, IIT, Bombay
    • Dr. Rakesh Pawar, IISER, Pune

  • Special lecture

    • Prof. Nitin Nitsure, TIFR, Mumbai

  • Course Associates:

    • Dr. Geetanjali Phatak, S. P. College, Pune
    • Dr. Aman Zinga, Bhaskaracharya Pratishthana, Pune

 Topics to be covered:

Sr. Speaker Topic
1 Dr. V. V. Acharya Directional Derivative, Differentiability of multivariable functions, Manifolds, Boundary of Manifold, Orientation
2 Dr. Rakesh Pawar Orthogonal Transformations, Orthogonal Matrices, Volume of parallelopiped
3 Prof. Saurabh Shrivastav Implicit and Inverse function Theorems
4 Prof. Vinayak Sholapurkar Multilinear Algebra, Alternating tensors, Wedge Product, Differential Forms, The differential Operator
5 Prof. Gopal Krishna Srinivasan Integrating forms over manifolds, Stokes’ Theorem 

Reference Books:   

  1. J. R. Munkres, Analysis on Manifolds, CRC Press

  2. M. Spivak, Calculus on Manifolds, Westview

  3. W. Rudin, Principles of Mathematical Analysis, McGraw Hill

Time Table

First Week: 5th December to 10th December, 2022

Day

9:30
to
11:00

11:00
to
11:30

11:30
to
1:00

1:00
to
2:30

2:30
to
3:30
Tutorial

3:30
to
4:00

4:00
to
5:00
Tutorial

5:00
to
5:30

Mon

VA

Tea

RP

Lunch

VA/GP/AZ

Tea

RP/GP/AZ

Snacks

Tue

VA

Tea

RP

Lunch

VA/GP/AZ

Tea

RP/GP/AZ

Snacks

Wed

VA

Tea

RP

Lunch

VA/GP/AZ

Tea

RP/GP/AZ

Snacks

Thu

SS

Tea

RP

Lunch

SS/GP/AZ

Tea

RP/GP/AZ

Snacks

Fri

SS

Tea

VS

Lunch

SS/GP/AZ

Tea

VS/GP/AZ

Snacks

Sat

SS

Tea

VS

Lunch

SS/GP/AZ

Tea

VS/GP/AZ

Snacks

 Second Week: 12th December to 17th December, 2022

Day

9:30
to
11:00

11:00
to
11:30

11:30
to
1:00

1:00
to
2:30

2:30
to
3:30
Tutorial

3:30
to
4:00

4:00
to
5:00
Tutorial

5:00
to
5:30

Mon

VA

Tea

VS

Lunch

VS/GP/AZ

Tea

VA/GP/AZ

Snacks

Tue

VA

Tea

VS

Lunch

VS/GP/AZ

Tea

VA/GP/AZ

Snacks

Wed

GS

Tea

VA

Lunch

VS/GP/AZ

Tea

VA/GP/AZ

Snacks

Thu

GS

Tea

VS

Lunch

GS/GP/AZ

Tea

VS/GP/AZ

Snacks

Fri

GS

Tea

VS

Lunch

GS/GP/AZ

Tea

GS/GP/AZ

Snacks

Sat

GS

Tea

Special Lecture

Lunch

GS/GP/AZ

Tea

GS/GP/AZ

Snacks

Valedictory Function: 17th December 2022 at 5.00 p.m.

 

 

  • VA: Vinaykumar Acharya

  • VS: Vinayak Sholapurkar SS: Saurabh Srivastav

  • GS: Gopal Krishna Srinivasan 13 December2022

  • RP: Rakesh Pawar

  • GP: Geetanjali Phatak

  • AZ: Aman Zinga

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