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.
|K. Srinivas||IMSc, Chennai||Analytic functions: exponential and logarithmic functions,linear fractional transformations.
Reference book : Complex Analysis by S. Lang.
|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
|Time||09:30–1100||11:15 to 12:45||14:00 to 15:30||15:45 to 16:45|
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.