TEW  Linear Algebra, Real Analysis & Group Theory (2023)
Speakers and 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. 
Prof. Harsha Hutridurga IIT Bombay 

Real Analysis: From real numbers to functions Sequences and series of real numbers 
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. 
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 15)
 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 (2.153.30) 
Tea (3.30 to 3:45) 
Tutorial 2 (3.454:45) 
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)