TEW - Real Analysis and Differential Equations (2025)

Speakers and Syllabus

 

Name of the Speaker with affiliation No. of Lectures Detailed Syllabus
Prof. Bhaba Kr. Sarma
 IIT Guwahai		 6 Completeness of R, application of supremum property, sequence of real numbers, different types of sequences, limit of a sequence, subsequences and Bolzano Weierstrass theorem
Prof. Bipan Hazarika Gauhati University 6 Limits of functions, continuous functions, uniform continuity, differentiable functions
Prof. Pratulananda Das Jadavpur University, Kolkata 6 Riemann Integral, Riemann Integrable functions, Fundamental theorems, Mean value theorem, Change of variable in  Riemann integration
Prof. Bhupen Deka
IIT, Guwahati		 6 Classical Function Spaces, First Order Linear and Non-linear Ordinary Differential Equations (ODEs), Existence and Uniqueness Theorems, Higher Order Linear Equations, Qualitative Properties of the Solution Space, First Order Linear System

 

References:

  1. R.G. Bartle and D. R. Sherbert, Introduction to Real Analysis, 3rd Ed., John Wiley and Sons (Asia) Pvt. Ltd., Singapore, 2002.
  2. S.K. Berberian, A First Course in Real Analysis, Springer Verlag, New York, 1994.
  3. Terence Tao, Analysis – I, Hindustan Book Agency, 2009.
  4. Richard R. Goldberg, Methods of Real Analysis, Oxford and IBH Publishing Co. Pvt. Ltd.
  5. S. L. Ross, Differential Equations, 3rd Ed., John Wiley and Sons, India, 2004.
  6. G. F. Simmons, Differential Equations (with applications and historical notes), Tata McGraw Hill.
  7. D. Murray, Introductory Course in Differential Equations, Longmans Green and Co.
  8. M. L. Abell, J. P. Braselton, Differential Equations with MATHEMATICA, 3rd Edition, Elsevier academic Press, 2004.

Time Table

 

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
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

 

PD

 

BKS

BD

 

BH

 

BH, GD, AA

 

Tue

 

BH

 

PD

BKS

 

BD

 

BD, GD, AA

 

Wed

 

BD

 

BH

PD

 

BKS

 

BKS, GD, AA

 

Thu

 

BKS

 

BD

BH

 

PD

 

PD, GD, AA

 

Fri

 

PD

 

BKS

BD

 

BH

 

BH, GD, AA

 

Sat

 

BH

 

PD

BKS

 

BD

 

BD, GD, AA

 

 Name of the tutors:

S.No.

Name

Affiliation

1

Gautom Das, SRF

Guahati University

2

Abdul Ahmed, SRF

Guahati University
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