TEW - Real Analysis, Algebra and Linear Algebra (2019)

Speakers and Syllabus


Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. B. K. Sarma
IIT Guwahati

8

Finite, countable and uncountable sets, ℝ as complete ordered field, Sequences and their convergence, Continuous functions and their properties, uniform continuity, Differentiable functions.

Prof. Tazid Ali
Dibrugarh University

8

Groups, Subgroups, Quotient groups, Action of groups on set, Class equations, Sylow theorems and applications.

Prof. S. Borkotokey
Dibrugarh University

8

Vector space, linearly independent, linear span, basis, linear transformation, eigenvalues and eigenvectors, diagonalization.

References:

  • Algebra
    David S. Dummit and Richard M. Foote, Abstract Algebra, (3rd Edition), John Wiley and Sons, 2004.
    Joseph A. Gallian, Contemporary Abstract Algebra, (8th Edition), Cengage Learning, 2013.
  • Linear Algebra
    Gilbert Strang, Linear Algebra and Its Applications, (4th Edition), Cengage Learning, 2006.
    Otto Bretscher. Linear Algebra with Applications, (4th Edition), Pearsons, 2008.
    S. Kumaresan, Linear Algebra-A Geometric Approach, PHI, 2004
  • Real Analysis
    Robert G Bartle, Donald R. Sherbert, Introduction to Real Analysis, (4th Edition), Wiley, 2011.
    Ajit Kumar, S. Kumaresen, A Basic course in Real Analysis, CRC Press, 2014.

Name of the tutors:

S. No.

Name

Affiliation

1

Dr. Ankur Bharali

Dibrugarh University

2

Dr. Palash Dutta

Dibrugarh University

3

Dhrubajit Choudhury

Dibrugarh University


Time Table

Day

Date

Lecture 1

(9.30
to
10.30)

Tea

(10.35
to
10.55)

Lecturer 2

(11.00
to
12.00)

Lecture 3

(12.00
to
1.00)

Lunch

(1.00 
to
2.20)

Lecture 4

(2.30
to
3.30)

Tea

(3.35
to
3.55)

Discussion

(4.00
to
500)

Snacks

(5.05 
to
5.30)

 

 

(Speaker’s name)

 

 

 

T

E

A

(Speaker’s name)

(Speaker’s name)

 

L

U

N

C

H

(Speaker’s name)

 

 

 

T

E

A

(Tutor’s name)

 

Mon

30/09

TA

SBK

BKS

TA

PD, DC

 

Tue

01/10

BKS

TA

SBK

BKS

PD, AB

 

Wed

02/10

SBK

BKS

TA

SBK

AB, DC

 

Thu

03/10

BKS

TA

SBK

BKS

AB, PD

 

Fri

04/10

TA

SBK

BKS

TA

AB, DC

 

Sat

05/10

SBK

BKS

TA

SBK

DC, PD

 
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