Linear Algebra, Differential Equations and its Applications (2023)

Convener(s)


Name:	Prof. Bivudutta Mishra	Prof. N. Kishore Kumar
Mailing Address:	H-025, Department of Mathematics, BITS Pilani Hyderabad Campus Kapra Mandal, Medchal District, Hyderabad Telangana, 500078.	H-017, Department of Mathematics, BITS Pilani Hyderabad Campus Kapra Mandal Medchal District, Hyderabad Telangana, 500078.
Email:	bivu at hyderabad.bits-pilani.ac.in	naraparaju at hyderabad.bits-pilani.ac.in

In the workshop, topics of Linear Algebra and Differential equations will be covered. The most fundamental concepts would be explained in the lecture session and the problems to be solved in the tutorial sessions. All the teachers should have familiar with these two courses, so that they can understand the concepts easily to be taught by the expert. Several concepts of the two subjects remains still unclear and the main objective of the workshop is to teach those concepts in a simplified approach. Several tutorials are being planned to supplement the lecture. The goal of the workshop will be to bring the teachers to a level where they can solve problems at the level of NET, JAM and
NBHM. This will benefit to the students of their respective colleges/universities.

Please note that TEW is meant only for the local college teachers. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. The usual length of the TEW is 5/6 days. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared.

Dates:

Monday, January 9, 2023 - 19:00 to Saturday, January 14, 2023 - 19:00

Venue:

BITS Pilani

Venue Address:

Department of Mathematics, BITS Pilani Hyderabad Campus, Kapra
Mandal, Medchal District, Hyderabad, Telangana, 500078.

Venue State:

Telangana

Venue City:

Hyderabad

PIN:

500078

Syllabus:

Name of the Speaker with affiliation	No. of Lectures	Detailed Syllabus
Dr. Pratysha Chattopadhyay BITS Pilani Hyderabad Campus	3 (each one 1.5 hr)	Basics of vector spaces: Basis and dimensions, Subspaces, Dimension Theorem, Inner product spaces, QR decomposition, Linear least-squares problem,
Dr. S Kumaresan Retd, Professor, University of Hyderabad	3 (each one 1.5 hr)	Eigenvalue problem, Diagonalization, Canonical forms, Spectral Theorem, Matrix norms, Condition number, Singular value decomposition and its applications.
Prof. B. Mishra BITS Pilani Hyderabad Campus	3 (each one 1.5 hr)	Theory of first order ordinary differential equations: Existence, uniqueness and continuous dependence. Systems of first order ODE and higher order ordinary differential equations with applications.
Prof. N. Kishore Kumar BITS Pilani Hyderabad Campus	3 (each one 1.5 hr )	Numerics for ordinary differential equations (IVPs and BVPs): Euler's method, Higher order Taylor's method, Runge-Kutta method, stability and convergence., finite difference methods for boundary value problems, etc.
Dr. G. Murali Mohan Reddy BITS Pilani Hyderabad Campus	3 (each one 1.5 hr)	First order partial differential equations: Introduction to PDE, the method of characteristics to solve linear, semilinear, quasilinear and fully nonlinear first order equations
Dr. G. Murali Mohan Reddy BITS Pilani Hyderabad Campus	3 (each one 1.5 hr)	Classification of second order partial differential equations Theory of elliptic partial differential equations: Mean value formula, Maximum and minimum principles, Uniqueness and regularity of the Dirichlet problem.

References:

1. Ross, Differential equations, John Wiley.
2. Y. Pinchover and J. Rubinstein, Introduction to partial differential equations, Cambridge press.
3. Gilbert Strang, Introduction to Linear Algebra.
4. Bradie, A friendly introduction to Numerical Analysis, Perason.

Name of the tutors:

S. No.	Name	Affiliation
1	Dr. Rohit Gupta Dr. Deepika	Department of Mathematics, BITS-Pilani Hyderabad Campus
2	Dr. Jaganmohan J Dr. Bhargav Kumar	Department of Mathematics, BITS-Pilani Hyderabad Campus

Time Table:

Time-table (with names of speakers and tutors):

Day	Date	Lecture 1 (9.30–11.00)	Tea (11.00-11.30)	Lecturer 2 (11.30–1.00)	Lunch (1.00 to 2.30)	Lecture 3 (2.30-4.00)	Tea (4.00 to 4.15)	Discussion (4.15-5.15)	Snacks (5.15 to 5.45)
Mon	09.01.23	PC		BM		GM		PC,DP,RG
Tue	10.01.23	PC		BM		GM		PC,DP,RG
Wed	11.01.23	PC		BM		GM		BM,JJ,BG
Thu	12.01.23	SK		NK		GM		NK, JJ,BG
Fri	13.01.23	SK		NK		GM		GM,JJ,BG
Sat	14.01.23	SK		NK		GM		GM,JJ,BG

Full forms for the abbreviations of speakers and tutors:

PC: Pratyusha Chattopadhyay

SK: S. Kumaresan

GM: G. Murali Mohan Reddy

BM: B. Mishra

NK: N. Kishore Kumar

DP: Deepika

RG: Rohit Gupta

BG: Bhargav Kumar

JJ: Jaganmohan J.

Selected Applicants:

Sr.n	SID	Full Name	Gender	Affiliation	Position in College/ Uni	Uni / Institute M.Sc./M.A.	Year of Passing M.Sc./ M.A	Ph.D. Deg Date
1	44512	Dr Syed Ali	Male	Thiruvalluvar University	Assistant Professor	Bharathiar University	2005	25 Dec 2010
2	44905	Dr Saravanakumar Dhanabal	Male	MSS Wakf Board College, Madurai	Assistant Professor	Madurai Kamaraj University	2006	21 Jan 2015
3	44963	Dr. Rahul Vitthalrao Mapari	Male	Government Vidarbha Institute of Science and Humanities, Amravati.	Assistant Professor	Government Vidarbha Institute of Science and Humanities, Amravati.	2011	22 Oct 2021
4	44982	Dr P. Jaya Lakshmi	Female	Sri G.V.G. Visalakshi College For Women(Autonomous)	Assistant Professor	Sri G.V.G.Visalakshi College For Women(Autonomous)	2006	28 Jul 2020
5	45020	Mr. Dnyaneshwar Prahlad Tadas	Male	Toshniwal Art's, Commerce and Science College Sengaon, Dist Hingoli -431542, Maharashtra.	Assistant Professor and Head	Sant Gadge Baba Amravati University, Amravati	2011
6	45025	Mr. Swapnil Vijay Gore	Male	Indira Gandhi Kala Mahavidyalaya, Ralegaon	Assistant Professor	University M.Sc.	2011
7	45035	Mr. Ankush Sadashiv Roundale	Male	Post Graduate Teaching Department of Mathematics Sant Gadge Baba Amravati University Amravati	CHB Teacher	Sant Gadge Baba Amravati University Amravati	2020
8	45044	Dr. Alfred Yusuf Shaikh	Male	Indira Gandhi Kala Mahavidyalaya , Ralegaon	Asistant Professor and Head	Sant Gadge Baba Amravati University , Amravati	2003	9 Jul 2014
9	45078	Dr. Shahida A T	Female	MES Mampad College (Autonomous)	Assistant Professor	MES Mampad College (Calicut University)	2009	12 Aug 2016
10	45093	Prof. Shyam Bapurao Dhage	Male	Dayanand Science College	Asst. Prof.	S. R. T. M. University, Nanded, Maharashtra State	2021
11	45154	Mr. Vishal Bhardwaj	Male	Plaksha University	Teaching Fellow	National Institute of Technology Manipur	2022
12	45203	Mr Siluvai Dasan	Male	Rajalakshmi Engineering College	Assistant professor	St.Joseph's college	2011
13	45258	Dr. Shubhashish Das	Male	Bharat Sevak Samaj College	Assistant Professor	TIFR CAM	2012	5 Mar 2018
14	45275	Dr. M Karpagadevi	Female	Sri G.V.G Visalakshi College for Women	Assistant Professor	Sri G.V.G Visalakshi College for Women	2007	4 Apr 2018
15	45327	Mr. Akshay Pawan Jenekar	Male	Arts, Commerce and Science College, Maregaon	Assistant Professor	NIT Rourkela	2017
16	45423	Ms. Chandi Sravanthi Adharapurapu	Female	Ideal College Of Arts And Sciences(A), Kakinada	Assistant Professor	Ideal College Of Arts And Sciences(A)	2010
17	45441	Dr Md Abdul Rawoof Sayeed	Male	Muffakham Jah college of Engineering and Technology	Associate Professor	Osmania University	1996	12 Apr 2018
18	45443	Mr. Mala Venkatesh	Male	Svu College Of Sciences Tirupati	Ph.D Research Scholar	Svu College Of Sciences Tirupati	2018	26 Oct 2020
19	45447	Mr. N Subbarayudu	Male	Sri Venkateswara University, Tirupati	PhD	Yogi Vemana University/M.Sc.	2016	23 Oct 2020
20	45450	Mr. Sachin Madan Shingne	Male	G.S. Science, Arts and Commerce College, Khamgaon, Dist. Buldana	Assistant Professor	GVISH, Amravati	2010
21	45451	Dr. Kalavathi A	Female	Sri G.V.G. Visalakshi College for Women	Assistant Professor	B.Sc Mathematics at Sri G.V.G Visalakshi College for Women, Bharathiar University	2003	22 Dec 2017
22	45480	Dr. Kotte Amaranadha Reddy	Male	Mohan Babu University	Assistant Professor	Sri Venkateswara Uiversity	2016	9 Jun 2022
23	45481	Mr. Chandrashekhar Dinanathrao Wadale	Male	Smt.Radhabai Sarda Arts, Commerce and Science College, Anjangaon Surji	Assistant Professor	Goverenment Vidharbha Institute of Science and Humanities, Amravati	2006
24	45485	Mrs Sonali Mandar Narsale	Female	Modern Education Society's College Of Engineering	Assistant Professor	Department Of Mathematics SPPU	2006
25	45490	Mr. Mahadeo Ganeshrao Bhujade	Male	Lokmanya Tilak Mahavidyalaya	Assistant Professor	Sant Gadge Baba Amravati University	2011
26	45514	Mr. Saheb Dnyaneshwar Navghare	Male	School Of Mathematical Sciences	Assistant Professor	School Of Mathematical Sciences, SRTM University	2020
27	45518	Ms. A Sai Lekshmi	Female	National Institute of Technology Puducherry	Ph.D.	University of Kerala	2020
28	45537	Mr Nandeesh M	Male	Bhrathi College	Assistant Professor	University Of Mysore	2013
29	45542	Prof. Chandra Sekhar Reddy Mudireddy	Male	Osmania University	Professor	Mysore University		1 Dec 2015
30	45548	Mr. Ajay Singh Rathore	Male	National Institute of Technology Trichy	Research Scholar	NIT Warangal	2017
31	45553	Mr Tamizhazhagan S	Male	National Institute of Technology	PhD	Pondicherry University	2018
32	45565	Ms. Sudha Y	Female	National Institute of Technology Tiruchirappalli	Research Scholar	Bharathiar University	2010
33	45588	Dr. Akilahmad Gulamzamir Sheikh	Male	G. H. Raisoni College of Engineering	Assistant Professor	M. Sc.	2007	23 Feb 2018
34	45598	Dr Halle Dattu	Male	Rajiv Gandhi University of Knowledge Technologies	Assistant Professor	Pondicherry University/	2009	12 Sep 2016
35	45601	Mr Ya5 Venkat	Male	Palamu UNIVERSITY	Assistant professor (c)	Kakatiya UNIVERSITY	2001
36	45622	Ms Poornima P	Female	National Institute of Technology, Thiruchirappalli	PhD	Bharathiar University/Maharajas College for Women	2006
Waitlisted Candidates
1	45238	Ms Jaishree Nivrutti Pawar	Female	Shrikrishna Mahavidyalay Gunjoti, Omerga, Osmanabad Aurangabad	Research Scholar	Dr Bamu Aurangabad	2015
2	45278	Mr. Gokul P	Male	Bharathiar university	Ph.D Research Scholar	Sri Ramakrishna Mission Vidyalaya College of Arts and Science	2019
3	45279	Mr. Arunkumar M	Male	National Institute of Technology Tiruchirappalli	PhD Scholar	PSG college of arts and science	2021
4	45455	Mr Abhinav Kumar	Male	National Institute of Technology Jamshedpur	Ph.D Student	Central University of South Bihar	2018
5	45519	Mr. Poovarasan R	Male	National Institute of Technology Puducherry	Ph.D.	Thiruvalluvar University	2019
6	45541	Ms Vaanmathi M	Female	PSGR Krishnammal College for Women	Phd student	Kongunadu Arts and Science College,Msc	2019
7	45552	Ms Chhaya Midha	Female	MALVIYA NATIONAL INSTITUTE OF TECHNOLOGY	PhD	CENTRAL UNIVERSITY OF PUNJAB BATHINDA	2020
8	45580	Ms Sherin Agnus T	Female	Pondicherry University	Research Scholar	Stella Maris College	2016

How to Reach:

TBA

School Short Name:

ladea

Last Date Application:

Monday, August 15, 2022

School Type:

TEW