TEW ODE, PDE and Linear Algebra (2015) - Speakers and Syllabus

The Teacher Enrichment Workshop is a programme funded by the National Centre for Mathematics (A joint centre of TIFR & IIT Bombay). The TEW is meant for college teachers to revisit and update their content-knowledge. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared and work-out routine to advanced exercises. 

 

Syllabus:

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. R.B. Bapat, ISI Delhi

10

Vector spaces, Finite dimensional vector spaces, Linear transformations and their matrix representations. Algebra of linear transformations (LT), Change of basis, Eigenvalues and eigenvectors of LT. Cayley Hamilton theorem. Inner product spaces, Bessel’s inequality, Gram- Schmidt orthogonalization process, Linear operators on Inner product spaces

Prof. V.D. Sharma, IIT Bombay

10

Basic concepts of first order linear and nonlinear Initial and boundary value problems involving Ordinary Differential Equations that may include theoretical considerations to the questions of existence and uniqueness. Initial value problems involving first order linear and quasilinear partial differential equations; method of characteristics; breaking of solutions; weak solutions and their admissible criteria.

Prof. Abhay Bhatt

4

Basics of Markov chains, Random Walks etc. leading to Brownian motion. Applications of these concepts.

 

Time-table (with names of speakers and tutors ):

Day

Date

Lecture 1

9.30
to
10.30

Tea

10.35
to
10.55

Lecturer 2

11.00
to
12.00

Lecture 3

12.00
to
1.00

Lunch

1.00
to
2.20

Lecture 4

2.30
to
3.30

Tea

3.35 to
3.55

Discussion

4.00
to
5.00

Snacks

5.05
to
5.35

 

2015

(Speaker’s name)

 

 

 

 

 

 

 

(Speaker’s name)

(Speaker’s name)

 

(Speaker’s name)

 

 

 

 

 

 

 

(Tutor’s name)

 

 

 

 

 

 

 

Sat

19 Dec

Prof. Bapat

Prof. Bapat

Prof. Bapat

 

 

 

 

 

 

Prof. Bapat

Dr. Sangeet

Sun

20 Dec

Prof. Bapat

Prof. Bapat

Prof. Sharma

Prof. Sharma

Prof. Prabha/Dr. Sanjay

Mon

21 Dec

Prof. Bapat

Prof. Sharma

Prof. Sharma

Prof. Sharma

Dr. Sangeet/Dr. Sanjay

Tue

22 Dec

Prof. Sharma

Prof. Sharma

Prof. Sharma

Prof. Sharma

Dr. Sanjay

Wed

23 Dec

Prof. Bapat

Prof. Bapat

Prof. Bapat

Prof. Bapat

Dr. Sanjay/Dr. Gaurav

Thur

24 Dec

Prof. Bhatt

Prof. Bhatt

Prof. Bhatt

Prof. Bhatt

Dr. Sangeet/Prof. Prabha

 

Name of the tutors

S. No.

Name

Affiliation

1

Dr. Sangeet Srivastava

The NorthCap University, Gurgaon

2

Dr. Sanjay Yadav

The NorthCap University, Gurgaon

3

Dr. Gaurav Gupta

The NorthCap University, Gurgaon

4.

Dr. Prabha Sharma

The NorthCap University, Gurgaon