Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. Sarmistha Bhattacharya,
Tripura University

6

Linear systems, Gauss elimination, row echelon form, reduced row echelon form, LU decomposition. Determinant and its properties.Eigenvalues and eigenvectors, diagonalization, spectral decomposition of a diagonalizable matrix, functions of
diagonalizable matrices.

Prof. Amber Habib
Shiv Nadar University, Delhi

6

Vector spaces and subspaces, basis and dimension, row and column space, rank-nullity theorem, linear transformations and their matrix representation. Inner
product spaces, orthogonal decomposition theorem, unitary and orthogonal operators, URV decomposition, singular value decomposition. Discrete Fourier transform.

Prof. Pratulananda Das
Jadavpur University, Kolkata

6

Calculus of Rn, continuity, differentiability, directional derivatives, jacobian, mean value theorem, implicit function thorem

Prof. Amiya Mondal,
IISER Berhampur

6

Topology in Rn, compactness, connectedness, Haine Borel theorem, Bolzano-Weirstrass Theorem, completeness

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
(4.00-500)

Snacks
(5.05 
to
5.30)

(Speaker’s
name)

(Speaker’s
name)

(Speaker’s
name)

(Speaker’s
name)

(Tutor’s
name)

Mon

15/12/25

PD

SB

AH

AM

SB, PB, RD

Tue

16/12/25

AM

PD

SB

AH

AH, PB, RD

Wed

17/12/25

AH

AM

PD

SB

PD,PB,RD

Thu

18/12/25

SB

AH

AM

PD

AH, PB,RD

Fri

19/12/25

PD

SB

AH

AM

AM, PB, RD

Sat

20/12/25

AM

PD

SB

AH

AM,PB,RD

S. No.

Name

Affiliation

1

Dr.Prasenjit Bal

ICFAI University

2

Dr.Rakhal Das

ICFAI University