TEW - Analysis & Algebra

Speakers and Syllabus


This Teachers’ Enrichment Workshop is especially meant for Post Graduate and Under Graduate Mathematics teachers. Research scholars in Mathematics may also apply. The sessions will be aimed at improving the understanding of fundamental concepts in real analysis, complex analysis and algebra and applying that understanding to solve problems. The workshop will be an intensive one and only those who are willing to work hard and actively participate are encouraged to apply.

 

Speaker Affiliation Syllabus to be covered
Number of lecture hours Number of tutorial hours
Arindama Singh IIT Madras Real Analysis: Continuous functions, discontinuous functions, uniformly continuous functions, mean-value theorem and its applications.
Reference books: Introduction to Real Analysis by Robert G. Bartle and Donald R. Sherbert,
A basic course in Real Analysis by Ajit Kumar and S. Kumaresan.
9 6
K. Srinivas IMSc, Chennai Analytic functions: exponential and logarithmic functions,linear fractional transformations.
Reference book :
Complex Analysis by S. Lang.

9 6
Rajat Tandon University of Hyderabad Ring Theory: Ideals, homomorphisms, sum and direct sum of ideals, maximal and prime ideals, principal ideal domains and Euclidean domains.
Reference book : Topics in Algebra by I. N. Herstein
9 6

Time Table

Time 09:30–1100   11:15 to 12:45   14:00 to 15:30   15:45 to 16:45  
Mon 7th AS   RT L KS   Tutorials S
Tue 8th AS T RT U KS T Tutorials N
Wed 9th AS E RT N KS E Tutorials A
Thu 10th AS A RT C KS A Tutorials C
Fri 11th AS   RT H KS   Tutorials K
Sat 12th AS   RT   KS   Tutorials  

 AS = A. Arindama Singh, RT = Rajat Tandon, KS = K. Srinivas

Note: Tutorials will be conducted by one speaker and will be assisted by another speaker.

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