Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. Sukanta Pati
IIT Guwahai

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. Bipan Hazarika
Guwahati 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

(2.30-3.30)

Tea (3.35

-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

PD

SP

AH

BH

Tue

BH

PD

SP

AH

Wed

AH

BH

PD

SP

Thu

SP

AH

BH

PD

Fri

PD

SP

AH

BH

Sat

BH

PD

SP

AH