TEW  Algebra, Number Theory and Graph Theory (2020)
Speakers and Syllabus
Name of the Speaker with affiliation 
No. of Lectures 
Detailed Syllabus 
K. Srinivas 
6 
Summation formulas, average order of various arithmetical functions, Theorems of Fermat and Euler, primitive roots. 
O. P. Jha 
3 
Group actions and some applications: the orbitstabilizer formula, class equation, the Sylow theorems. 
J. K. Verma 
3 
Geometric properties of matrix groups: SO(3), SU(2), O(n) and SO(n). 
B. S. Panda 
6 
Graph Representation: Adjacency Matrix, Incidence Matrix and Adjacency List, Graph Searching: BFS and DFS; finding connected components, testing for bipartite graphs, finding cycles in graphs; Trees: Characterizations; MST algorithms; Distance in Graphs: Algorithms for Single source shortest path problem and all pairs shortest path problem; Matching in Graphs: Bipartite Matching. 
References:
 T. M. Apostol, Introduction to Analytic Number Theory
 M. Artin, Algebra, Second Edition
 Frank Harary, Graph Theory
Time Table
Day 
Date 
Lecture 1 (9.30 11.00) 
Tea (11.0011.30) 
Lecturer 2 (11.30–1.00) 
Lunch (1.002.00) 
Lecture 3 (2.153.45) 
Tea (3.454.00) 
Discussion (4.00500) 
Snacks (5.05–5.30) 



(Speaker’s name) 

(Speaker’s name) 

(Speaker’s name) 

(Tutor’s name) 


Mon 
6720 
OP 

KS 

BS 

KS/OP/BS 


Tue 
7720 
OP 

KS 

BS 

KS/OP/BS 


Wed 
8720 
OP 

KS 

BS 

KS/OP/BS 


Thu 
9720 
JV 

KS 

BS 

JV/KS/SK 


Fri 
10720 
JV 

KS 

BS 

JV/KS/SK 


Sat 
11720 
JV 

KS 

BS 

JV/KS/BS 

Name of the tutors:
S. No. 
Name 
Affiliation 
1 
Sunita Kumawat (SK) 
Associate professor, Amity University, Gurgoan 