TEW - Linear Algebra and its applications (2020)

Speakers and Syllabus


Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. Inder K. Rana, Professor
Indian Institute of
Technology(IIT) Bombay

6hr

Vector Space : Definition and Examples, Linear Independence,basis and dimension, Cayley-Hamilton theorem and its applications, Diagonalisation. Some applications like google page ranking.

Dr. Gaurav Bhatnagar,
Associate Professor,
Indian Institute of
Technology(IIT) Jodhpur
6hr Applications of linear algebra in image processing: Singular Value decomposition, Principal component analysis.
Dr. Anupam Singh,
Associate Professor
Indian Institute of Science
Education and Research (IISER) Pune
6hr Primary decomposition Theorem , Canonical forms: Jordan and Rational, applications of canonical forms, Spectral theorem for normal operators, Self-adjoint operators, unitary operators.
Dr. Vandana Sharma,
Assistant Professor
Indian Institute of
Technology(IIT) Jodhpur.

7.5 hr

The structure of a linear operator: Characteristic polynomial, Eigen values and Eigen vectors: applications, Applications of linear algebra in differential equations.

References:
(1) Roman, Steven (2008) Advanced Linear Algebra, Springer.
(2) Blyth, T.S. and Robertson, E F. (2002) Further Linear Algebra, Springer.
(3) Leon, Steven (2006) Linear algebra with applications, Pearson.
(4) Gilbert Strang (2016) Linear Algebra and Its Applications, Wellesley Cambridge Press.
(Lecture notes from the speakers, if available)


Time Table

Day

Date

Lecture 1

(9.00–10.30)

Tea
10.35
to
10.55

Lecturer 2

(11.00–12.30)

Lunch

(12.35–1.55)

Lecture 3

(2.00-3.30)

Discussion

(3.30-4:30)

Tea
&
Snacks
(4.35 – 5.00)

Guest
Lecture
(5:00-6:00)

(Speaker’s name)

(Speaker’s name)

 

(Speaker’s name)

(Tutor’s name)

 

Mon

May 18

IKR

T
e
a

VS

L
u
n
c
h

IKR

VS+KH+DK

S
n
a
c
k

 

Tue

May 19

IKR

VS

GB

IKR+KH+DK

 

wed

May 20

IKR

VS

GB

VS+KH+DK

L-I

Thu

May 21

AS

VS

AS

AS+KH+DK

 

Fri

May 22

AS

VS

GB

GB+KH+DK

L-II

Sat

May 23

GB

AS

Closing

Snacks

 
  • IKR : Prof. Inder K. Rana
  • VS : Dr. Vandana Sharma
  • GB : Dr. Gaurav Bhatnagar
  • AS : Dr. Anupam Singh
  • KH : Dr. Kiran Kumar Hiremath
  • DK: Dr. Dilpreet Kaur

 

Name of Ttutors:

Sr..

Name

Affiliation

1

Dr. Kiran Kumar Hiremath

IIT Jodhpur

2

Dr. Dilpreet Kaur

IIT Jodhpur

Name of the Guest Speakers:

Sr..

Name

Affiliation

1

Dr. Pankaj Yadav (L-I)

Bioscience & Bioengineering, IIT Jodhpur

2

Dr. Chiranjoy Chattopadhayay (L-II)

Computer Science & Engineering, IIT Jodhpur

 

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