TEW - Algebra, Number Theory and Graph Theory (2022)

Speakers and Syllabus

Name of the Speaker
with affiliation

No. of Lectures

Title

Detailed Syllabus

 Prof.Jugal K.Verma
(JKV)

5 lectures
(90 minutes each)

 Algebra

Geometric properties of matrix groups: SO(3), SU(2), O(n) and SO(n).

 Prof.Srinivas Kotyada
(KS)

 5 lectures
(90 minutes each)

Number Theory

Summation formulas, average order of various arithmetical functions, Theorems of Fermat and Euler, primitive roots

 Prof.Om Prakash
(OP)

 5 lectures
(90 minutes each)

Abstract Algebra

Group actions and some applications: the orbit-stabilizer formula,class equation, the Sylow theorems.

 Prof.B.S.Panda
(BS)

 5 lectures
(90 minutes each)

Graphs and Algorithms

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:

  1. Joseph Gallian, Contemporary Abstract Algebra.

  2. Tom M Apostol, Introduction to Analytic NumberTheory.

  3. M.Artin, Algebra, Second Edition

  4. Douglas B.West, Introduction to Graph Theory.

NOTE:(Lecture notes and PPT from the speakers, if available)

Name of the Speakers

S.No.

Name

Affiliation

E-1

Prof. Jugal K.Verma (JKV)

IIT Bombay

E-2

Prof. Srinivas Kotyada (KS)

IMSC Chennai

E-3

Prof. Om Prakash (OP)

IIT Patna

E-4

Prof. B.S.Panda (BS)

IIT,Delhi

 

Name of the Tutor

S.No.

Name

Affiliation

T-1

Dr. Sunita Kumawat (SK)

Amity University
Haryana, Gurugram

T-2

Dr. Ritu Aggarwal (RA)

MNIT, Jaipur

Time Table

Week-1 of the TEW  (04th–9thJuly 2022)

 

 

Lecture-1&2

Lecture-3&4

Lecture-5&6

Lecture-7&8

Lecture-9&10

Tutorial-1&2

Day

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Date

4 July

5 July

6 July

7 July

8 July

9 July

Time (pm)

5:00-6:30

5:00-6:30

5:00-6:30

5:00-6:30

5:00-6:30

5:00-6:30

Speaker

KS

KS

KS

KS

KS

KS+RA+SK

Time (pm)

7:00-8:30

7:00-8:30

7:00-8:30

7:00-8:30

7:00-8:30

7:00-8:30

Speaker

OP

OP

OP

OP

OP

OP+RA+SK

 

 Week-2 of the TEW (11th–16thJuly,2022)

 

 

Lecture-11&12

Lecture-13&14

Lecture-15&16

Lecture-17&18

Lecture-19&20

Tutorial-3&4

Day

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Date

11 July

12 July

13 July

14 July

15 July

16 July

Time (pm)

4:00-5:30

4:00-5:30

4:00-5:30

4:00-5:30

4:00-5:30

4:00-5:30

Speaker

JKV

JKV

JKV

JKV

BS

JKV +RA+SK

Time (pm)

6:00-7:30

6:00-7:30

6:00-7:30

6:00-7:30

6:00-7:30

6:00-7:30

Speaker

BS

BS

BS

JKV

BS

BS+RA+SK

 

 

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