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 Nonlinear Ordinary Differential Equations (ODEs), Existence and Uniqueness Theorems, Higher Order Linear Equations, Qualitative Properties of the Solution Space, First Order Linear System 
References:
 R.G. Bartle and D. R. Sherbert, Introduction to Real Analysis, 3rd Ed., John Wiley and Sons (Asia) Pvt. Ltd., Singapore, 2002.
 S.K. Berberian, A First Course in Real Analysis, Springer Verlag, New York, 1994.
 Terence Tao, Analysis – I, Hindustan Book Agency, 2009.
 Richard R. Goldberg, Methods of Real Analysis, Oxford and IBH Publishing Co. Pvt. Ltd.
 S. L. Ross, Differential Equations, 3rd Ed., John Wiley and Sons, India, 2004.
 G. F. Simmons, Differential Equations (with applications and historical notes), Tata McGraw Hill.
 D. Murray, Introductory Course in Differential Equations, Longmans Green and Co.
 M. L. Abell, J. P. Braselton, Differential Equations with MATHEMATICA, 3rd Edition, Elsevier academic Press, 2004.
Time Table
Day 
Date 
Lecture 1 
Tea 
Lecturer 2 (11.00 
Lecture 3 (12.00 
Lunch 
Lecture 4 (2.303.30) 
Tea 
Discussion 
Snacks 


(Speaker’s name) 

(Speaker’s name) 
(Speaker’s name) 

(Speaker’s 

(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 