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

Venue:	IIT Guwahati
Dates:	14^thDec - 19^th 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.

Syllabus:
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.

References:
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 9:30-11:00	11:00 - 11:30	Lect.2 11:30-13:00	13:00-14:00	Lect.3 14:00-15:30		15:30-15:45	15:45-16:45	16:45
Mon	14/12	BKS (9:45-11:00)	TEA	SNB (11:30-12:45)	LUNCH	BKS 13:45-15.00	TEA	SNB (15-15-16:30)		Snacks
Tue	15/12	BKS		SB		SNB		TEA	Discussion
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.