School of Analysis

Syllabus and Speakers

• Real Analysis

Dr Krishnakumar G, University of Kerala

Convergence of Sequences and series, Continuity, Compactness and Continuity, Connectedness and Continuity, Differentiability, Mean value theorem, Sequences and series of functions, Power series, Radius of convergence, Tests for determining region of convergence.

Mr Mahesh T V, IIST Trivandrum

Definition of differentiability, Derivative as a linear transformation, Directional derivative, Partial derivative, Mixed partial derivatives, Inverse and Implicit function theorems (Examples and Applications)

• Complex Analysis

Dr Sanjay P K, NIT Calicut

Power series, Tests for convergence of power series, Radius of convergence, Analytic functions, Cauchy-Riemann equations, Harmonic functions, Harmonic conjugate, Elementary functions

Dr Kumari Saloni, IIT Patna

Complex Integration, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum modulus principle, Schwarz lemma, Taylor series, Laurent series, calculus of residues, Conformal mappings, Mobius transformations.

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Registration

• Registration Fee : Rs. 500/-

• The registration fee may be remitted to :

A/c No: 0340053000004119

Name: The Principal and Head, Department of Mathematics, SB college, Changanassery

Bank: South Indian Bank, Near S B College Changanassery.

IFSC: SIBL0000340.

• Last date for registration: 06.05.2022.

• Selected participants will be intimated through e-mail on or before 07.05.2022

• Registration Fee will not be refunded.

To register please fill the form given below