TEW Real Analysis, Linear Algebra & Differential Equations (2015)

Venue: IIT Guwahati
Dates: 14thDec - 19th Dec


Convener(s) Speakers, Syllabus and Time table Applicants/Participants


School Convener(s)

Name Prof. Rafikul Alam Prof. Bhaba Kumar Sarma
Mailing Address Department of Mathematics,
IIT Guwahati, Guwahati - 781039
Department of Mathematics,
IIT Guwahati,Guwahati - 781039


Speakers and Syllabus 

 The Teachers' Enrichment Workshop (TEW) was held at the Department of Mathematics, IIT Guwahat during December 14-19, 2015. Nineteen college teachers from colleges affiliated to Gauhati University and situated in and around Guwahati participated in the Workshop. Five resource persons, all of whom are faculty members of the Department of mathematics, IIT Guwahati, delivered the lectures.


Name of resource persons

Topics covered

Number of lectures (L)
and tutorials (T)

Bhaba Kumar Sarma
IIT Guwahati

Single variable calculus: Convergence of sequences,continuity and differentiability of functions, properties of continuous functions on closed intervals, Rolle's theorem.

4 L + 1 T


Rafikul Alam
IIT Guwahati

Multivariable calculus: Limits, iterated limits, continuity - and uniform continuity of functions of several variables, extreme value theorem, Partial and directional erivatives,
differentiability of functions of several Variables, differentials, chain rule,

4 L + 2 T


Rajen Kumar Sinha
IIT Guwahati

Numerical analysis: Concept of interpolation, Lagrange  and Hermite interpolations, Runge's phenomenon, error analysis; Numerical quadrature, trapezoidal rule,Simpson's
rule, corrected trapezoidal rule, composite rules, adaptive quadrature.

3 L + 1 T


Swaroop Nandan Bora
IIT Guwahati

Ordinary differential equations: Connecting differential equation to physics, formation of differential equations and significance, power Series method.

3 L

Shreemayee Bora
IIT Guwahati

Linear Algebra: Theory of systems of linear equations elementary matrices; Introduction to vector spaces,bases and dimensions.

 5 L + 1 T

Four short courses in Real Analysis, Linear Algebra, Differential Equations and Numerical Analysis were conducted along with a discussion-cum-tutorial session on each day of the Workshop. The course contents Were kept at the undergraduate level keeping in mind the needs of the participating teachers.

The syllabus for each topic will overlap with the syllabus of BSc (Hons) in Mathematics of Gauhati University as well as Mathematics-I and Mathematics-II courses of B.Tech programme at IIT Guwahati.

1. S. Axler, Linear Algebra Done Right, Springer, Indian Ed.,2009
2. P.M. Fitzpatrick, Advanced Calculus, AMS, Indian Edition, 2010.
3. E. A. Coddington, An Introduction to Ordinary Differential Equations, Prentice Hall
India, 1995.
4. K. E. Atkinson, An Introduction to Numerical Analysis, Wiley, 1989.

Time Table

Day Date Lect.1
 11:00 - 11:30 Lect.2
13:00-14:00 Lect.3
15:30-15:45 15:45-16:45 16:45
Mon 14/12 BKS (9:45-11:00)    
SNB (11:30-12:45) LUNCH 



TEA SNB (15-15-16:30) Snacks
Tue 15/12 BKS SB SNB


Wed 16/12 BKS SB RA
Thu 17/12 RA RKS SB
Fri 18/12 RKS RA SB
Sat 19/12 RA SB RKS


SNB – Swaroop Nandan Bora: Differential Equations
SB – Shreemayee Bora: Linear Algebra
RKS – Rajen Kumar Sinha: Numerical Analysis
RA – Rafikul Alam: Real Analysis
BKS – Bhaba Kumar Sarma: Real Analysis

Actual Participants


Serial SID Full Name Gender Affiliation Position in College/ University University/Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 5304 Dr Bipul Sarma Male MC College Asst. Prof. Gauhati University 2001 8/19/2006
2 5324 Mrs. Rina Deka Female Pub Kamrup College Asso. Prof. Gauhati University 1987  
3 5331 Mr Nabajyoti Baro Male M.C.College Asst. prof Gauhati University 2002  
4 5342 Dr. Dipankar Sarma Male Jawaharlal Nehru College Asst. Prof Gauhati University 1995 8/19/2009
5 5364 Dr. Rituparna Chutia Male Cotton College Guwahati Asst. Prof. Gauhati University 2009 11/4/2013
6 5365 Mrs Rupanjali Goswami Female Cotton College Asst. Prof Gauhati University 2003  
7 5366 Dr. Banamali Nath Male Chhaygaon College, Chhaygaon Asst. Prof. Gauhati University 1998 3/3/2014
8 5367 Dr. Nabajyoti Das Male Jawaharlal Nehru College Asst. Prof Gauhati University 1990 9/3/2012
9 5372 Mr Rama Kanta Bhuyan Male Tihu College Asso. Prof. Gauhati University 1994  
10 5373 Mr Mahammad Nazrul Islam Male Tihu College Asst. Prof. Gauhati University 1994  
11 5374 Mr Sanjay Kumar Das Male Handique Girls' College Asst.Prof. Tezpur University 2004  
12 5406 Mr. Jayanta Das Male K.C.Das Commerce College Asst. Prof Gauhati University 2008  
13 5416 Mr. Ajoy Kumar Das Male Guwahati college Asst. Prof Gauhati university 1989  
14 5425 Mrs Nibha Barman Female Lalit Chandra Bharali College Asst. Prof Gauhati university 1987  
15 5435 Mr Jayanta Borah Male NERIST Asst. Prof Gauhati University 2003  
16 5442 Dr Enter First Namebidyut Kalita Male Dudhnoi college Asst. Prof Gauhati University 1997 12/31/2012
17 5444 Mr. Rabindra Das Male Dakshin Kamrup Colllege,Mirza Asst.Prof Gauhati University 2012  
18 5454 Mr Biren Das Male Arya Vidyapeeth College Asst. Prof. University of Delhi 1995 12/1/2009
19 5461 Mrs. Sangita Sharma Baruah Female Lalit Chandra Bharali College Asst. Prof Gauhati University 1988  

How to Reach 

Regular bus service (run by IIT Guwahati) from  Panbazar, Guwahati, to IIT Guwahati.

  • Morning Bus Timing (from Panbazar):     6:45 AM, 8:15 AM, 10:00 AM  The bus starts from Panbazar. One can catch the bus at stoppages at Panbazar overbridge (Lakhtokia corner),
    Panbazar Water Tank, Bharalumukh, Kamakhya Gate, Maligaon, Adabari Tiniali, Jalukbari and Jaiguru.
    These are GREEN BUSES run by Green Valley with IITG sign. The bus at 8:15 AM will be most suitable for the participants.
  • Afternoon Bus Timing (from IITG to Panbazar):       5:00 PM, 6:45 PM, 8:00 PM

Those who plan to come by cars, they can park the vehicles at the parking place near the Mechanical Engineering  Department in the Academic Complex.