Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

 Prof. Soumalya Joardar
(IISER Kolkata)

6

Normed linear spaces and Banach spaces, basic properties, bounded linear operators, duals of normed linear spaces, Hahn Banach theorem, uniform boundedness principle, open mapping and closed graph theorems. Examples and applications

Prof. Jaydeb Sarkar

ISI Bangalore

6

Compact operators in Banach spaces and their importance, spectral theorem for compact operators. Integral operators, basic results about these operators. Computational aspects of integral operators, specifically Volterra operator. Applications and examples

Dr. Bikash Chakraborty

RKMVCC

6

Riemann Integral, properties of Riemann integrable functions, Fundamental theorems of integral calculus, Mean value theorem, Change of variable in Riemann integration, improper Riemann integration

Prof. Pratulananda Das

Jadavpur University, Kolkata

6

Lebesgue outer measure, Extension of the idea of length function, Lebesgue measure, measurable sets, existence of non-measurable sets, idea of measurable functions, Lebesgue integration, advantages over Riemann integration. Applications and examples

S. No.

Name

Affiliation

1

TBD

Ramkrishna Mission Vivekananda Centenary College

2

TBD

Ramkrishna Mission Vivekananda Centenary College

3

Day

Date

Lecture 1

(9.30-10.30)

Tea

(10.35-10.55)

Lecturer 2

(11.00-12.00)

Lecture 3

(12.00-1.00)

Lunch

(1.00 -2.20)

Lecture 4

(2.30-3.30)

Tea

(3.35-3.55)

Discussion

(4.00-500)

Snacks

(5.05 – 5.30)

(Speaker’s name)

(Speaker’s name)

(Speaker’s name)

(Speaker’s name)

(Tutor’s name)

Mon

PD

SJ

SJ

BC

BC, -, -

Tue

PD

PD

SJ

SJ

SJ, -, -

Wed

BC

SJ

SJ

PD

PD, -, -

Thu

JS

JS

BC

BC

SB, -, -

Fri

PD

BC

JS

JS

JS, -, -

Sat

PD

BC

JS

JS

BC, -, -