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:
- 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 (2.30-3.30) |
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 |