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 
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 
8 
Groups, Subgroups, Quotient groups, Action of groups on set, Class equations, Sylow theorems and applications. 
Prof. S. Borkotokey 
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, (4^{th} Edition), Cengage Learning, 2006.
Otto Bretscher. Linear Algebra with Applications, (4^{th} Edition), Pearsons, 2008.
S. Kumaresan, Linear AlgebraA 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 
Tea (10.35 
Lecturer 2 (11.00 
Lecture 3 (12.00 
Lunch (1.00 
Lecture 4 (2.30 
Tea (3.35 
Discussion (4.00 
Snacks (5.05 


(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 