Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. Apu Kumar Saha
NIT Agartala

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. Binod Chandra Tripathy
Tripura University

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
to
5.00)

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

AKS

AH

BCT

AKS, PB, RD

Tue

16/12/25

BCT

PD

AKS

AH

AH, PB, RD

Wed

17/12/25

AH

BCT

PD

AKS

PD,PB,RD

Thu

18/12/25

AKS

AH

BCT

PD

AH, PB,RD

Fri

19/12/25

PD

AKS

AH

BCT

BCT,PB, RD

Sat

20/12/25

BCT

PD

AKS

AH

BCT,PB,RD

S. No.

Name

Affiliation

1

Dr.Prasenjit Bal

ICFAI University

2

Dr.Rakhal Das

ICFAI University