Linear Algebra, Real Analysis & Group Theory (2023)

Convener(s)


Name:	Prof. Ananthnarayan Hariharan	Prof. Sivaji Ganesh Sista
Mailing Address:	Department of Mathematics, IIT Bombay	Department of Mathematics, IIT Bombay
Email:	ananth at math.iitb.ac.in	siva at math.iitb.ac.in

The aim of this workshop is to build on the content in linear algebra, real analysis, and group theory, with which most participants will be comfortable, and reach material that may not be as familiar. Understanding the interplay between linear transformations and matrices, and getting to various applications is the goal of the linear algebra sessions, whereas starting with the concepts of convergence in real numbers, moving toward functions, and applying it to differential equations will be the aim of the real analysis sessions. Finally, in group theory, the idea is to start with group actions, look at some counting problems, and work with matrix groups.

Please note that TEW is meant only for the local college teachers.

While others are free to apply, it should be noted that this workshop is primarily for teachers, and their applications will be given higher preference.
This workshop is meant for local participants, in particular, no accommodation is provided.

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

Dates:

Monday, November 20, 2023 - 19:00 to Saturday, November 25, 2023 - 19:00

Venue:

Venue Address:

Department of Mathematics,
IIT Bombay,
Powai, Mumbai - 400076

Venue State:

Maharashtra

Venue City:

Bombay

PIN:

400076

Chrono Order:

468

Syllabus:

Name of the Speaker with affiliation	No. of Lectures	Detailed Syllabus
Prof. Anuradha Garge University of Mumbai		Group Theory: Polya Theory and Matrix Decompositions Symmetry group & group actions. Burnside’s Lemma and applications Polya’s theorem and applications to counting. Key lemma and applications in other disciplines. Matrix decompositions: Polar, Cartan, etc
Prof. Harsha Hutridurga IIT Bombay		Real Analysis: From real numbers to functions Sequences and series of real numbers Continuity and Differentiability of real-valued functions of a real variable Convergence of sequences and series of functions, power series Analysis in action: some applications to differential equation
Rekha Santhanam IIT Bombay		Linear Algebra: Matrices and Linear Transformations Correspondence between matrices and linear transformations between finite dimensional vector spaces, behaviour under various matrix operations. Matrix of a transformation: when is it “nice”? Consequence of change of bases. Polynomials satisfied by a transformation, minimal, characteristic polynomials. Diagonalizability and Jordan-Canonical form.

Prerequisites:

The participants are expected to be familiar with the content covered in the following:

Linear Algebra: A Geometric Approach, S. Kumaresan (Chapters 1 - 5)
A Basic Course in Real Analysis, Ajit Kumar, S. Kumaresan (Chapters 1-5)
Contemporary Abstract Algebra, Joseph Gallian (Parts 1 & 2)

Name of the tutors:

S. No.	Name	Affiliation
1	Arusha C.	IIT Bombay
2	Omkar Javadekar	IIT Bombay
3	Priyanka Aroda	IIT Bombay

Time Table:

Day	Date	Lecture 1 (9:00–10.15)	Tea (10:15–10.30)	Lecturer 2 (10.30–11:.45)	Tutorial 1 (12 to 1)	Lunch (1 to 2)	Lecture 3 (2.15-3.30)	Tea (3.30 to 3:45)	Tutorial 2 (3.45-4:45)
Mon	20 Nov	AG		HH	AG + AC		RS		HH + OJ
Tue	21 Nov	HH		RS	RS + PA		AG		AG + AC
Wed	22 Nov	RS		AG	HH + OJ		HH		RS + PA
Thu	23 Nov	AG		HH	AG + AC		RS		HH + OJ
Fri	24 Nov	HH		RS	RS + PA		AG		AG + AC
Sat	25 Nov	RS		AG	HH + OJ		HH		RS + PA

Full forms for the abbreviations of speakers and tutors:

Speakers:
1. Prof. Anuradha Garge (AG)
2. Prof. Harsha Hutridugra (HH)
3. Prof. Rekha Santhanam (RS)

Tutors:
1. Arusha C. (AC)
2. Omkar Javadekar (OJ)
3. Priyanka Aroda (PA)

Selected Applicants:

Instructions for appplicants

1. This workshop is meant for local teachers. In particular, no accommodation or travel support is provided.
2. The selection is provisional until a confirmation is received (deadline: 1:00 p.m., Wednesday, 15th Nov, 2023). For further details, see the selection email that you will receive within the next 24 hours.

Sr.n	SID	Full Name	Gender	Affiliation	Position in College/University	University/ Institute M.Sc./ M.A.	Ph.D. Degree Date
1	52719	Mr. Nilesh Baburao Bhandarkar	Male	Kishinchand Chellaram College	Assistant Professor	Indian Institute of Technology, Mumbai
2	52805	Mrs. Rugma Pramod Nair	Female	Royal college of Arts,Science and Commerce	Asst. Prof.	University of Calicut
3	52876	Ms. Archana Rajendra Singh	Female	Guru Nanak Khalsa College of Arts, Science and Commerce(Autonomous)	Lecturer	Dr. Homi Bhabha State University
4	52884	Ms Manali Krishnakant Kadam	Female	D G Ruparel College of Arts, Science and Commerce	Asst Professor	University of Mumbai
5	52891	Ms. Haleema Mohammed Naseem Ansari	Female	St. Francis Institute of Teachnology	Assistant Professor of Mathematics.	Mumbai University
6	52917	Mr Salil Subhash Sawarkar	Male	Smt. C.H.M. College	Assistant Professor	Mumbai University
7	52930	Dr. Reema Deepak Khanna	Female	K. J. Somaiya College of Science and Commerce	Associate Professor	Mumbai University	08/08/2020
8	52935	Mrs Komal Pravin Wategaonkar	Female	Royal college of Arts, Science and Commerce	Assistant Professor	I.I.T. Bombay
9	53094	Mr. Brijesh Shivkumar Goud	Male	South Indian Education Society Sion East Mumbai Sion 400022	Assistant Professor	University of Mumbai
10	53303	Mr Sainath Namdeo Ghosalkar	Male	St. Francis Institute of Technology, Borivali(W)	Assistant Professor	University of Mumbai / Kalina/ M.Sc
11	53530	Mrs Anuradha Anand Namjoshi	Female	PTVA's Sathaye College	Associate Professor	University of Pune
12	53571	Ms Priyanka Ramsagar Mishra	Female	NG Acharya and DK Marathe College of arts, science and commerce	Assistant Professor	University of Mumbai
13	53584	Ms Leena Gopal Upadhye	Female	Jai Hind College	Assistant Professor	Mumbai
14	53602	Mrs. Sudha Agrawal	Female	K j somaiya college of science and commerce	Associate professor	Mumbai
15	53617	Professor Shaikh Kaneez Fatima Abrar Ali	Female	Dr.ambedkar college of commerce and economics	Assistant professor (cons)	Institute of science homibhabha University
16	53635	Lecturer Tooba Nadeem Ahmad Shaikh	Female	Elphinstone college	Lecturer	Homi Bhabha State University
17	53639	Ms. Mitsu Jitendra Kariya	Female	N.E.S. Ratnam College	Lecturer	University of Mumbai
18	53641	Ms. Prachee Pradeep Angane	Female	HSNC University	Asst. Professor	Mumbai University
19	53643	Ms. Juilie Dilip Shinde	Female	St. Andrews College	Assistant Prof.	The Institute of Science
20	53671	Prof Sadikali Latif Shaikh	Male	Maulana Azad College of Arts, Science and Commerce Aurangabad	Professor	Shivaji University kolhapur	12/09/2012
21	53699	Mr. Sarvesh Raghavendra Kundargi	Male	D.B.J. College, Chiplun	Assistant Professor	Willingdon College, Sangli
22	53752	Mr. Prashant Ashok Agre	Male	K. J. Somaiya College of Science and Commerce, Vidhyavihar	Assistant Professor	Swami Ramanand Teerth Marathwad University, Nanded

How to Reach:

Click here

School Short Name:

laragt

Last Date Application:

Monday, August 15, 2022

School Type:

TEW