TEW - Analysis and Topology (2023)

Speakers and Syllabus

 Syllabus:

Name of the Speaker
with affiliation

No. of
Lectures

Detailed
Syllabus
Prof. Pratulananda Das
Jadavpur University		 6

Metric space topology, continuity, separation axioms,completeness,compactness,connectedness
Dr. Amiya Mondal
IISER Berhampur		 6

Topology in R,compactness,connectedness,Haine Borel theorem, Bolzano-Weirstrass Theorem, Nested interval theorem, interrelations, completeness
Dr. Pabitra Barik
IISER Berhampur		 6

Calculus of two variables, continuity, differentiability, directional derivatives, jacobian, mean value theorem, implicit function thorem
Dr. Sushil Gorai
IISER Kolkata		 6

Complex analysis, continuiity, Cauchy Riemann equation,analytic functions, geometric and topological approach

References:

 

  1. Topology of metric spaces,S.Kumaresan

  1. A basic course in real analysis,Ajit Kumar and S.Kumaresan

  2. Complex analysis,S. Kumaresan

 

Time Table

 Time-table(with names of speakers and tutors):

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

06.03.23

AM

 

PB

PD

 

SG

 

BC, AG, PD

 

Tue

07.03.23

SG

 

AM

PB

 

PD

 

BC, AG, SG

 

Wed

08.03.23

PD

 

SG

AM

 

PB

 

BC, AG,AM

 

Thu

09.03.23

PB

 

PD

SG

 

AM

 

BC, AG, PB

 

Fri

10.03.23

AM

 

PB

PD

 

SG

 

BC, AG, PD

 

Sat

11.03.23

SG

 

AM

PB

 

PD

 

BC, AG, PB

  

 

Name of the tutors:

S.No.

Name

Affiliation

1

Dr. Bikash Chakraborty

Ramkrishna Mission Vivekananda Centenary College

2

Mr.Ayan Ghosh

SRF (4th year), Jadavpur University

 

 

 

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