MODULE 2 - CONFORMAL TRANSFORMATION & COMPLEX INTEGRATION

COMPLEX ANALYSIS - II

CONTENTS:

Conformal transformations: Introduction. Discussion of transformations. Bilinear transformations- Problems.

Complex integration: Line integral of a complex function-Cauchy’s theorem and Cauchy’s integral formula and problems.

MODULE - 5 JOINT PROBABILITY DISTRIBUTION & SAMPLING THEORY

JOINT PROBABILITY DISTRIBUTION AND SAMPLING THEORY

MODULE - V

CONTENTS:

Joint probability distribution: Joint Probability distribution for two discrete random variables, expectation and covariance.

Sampling Theory: Introduction to sampling distributions, standard error, Type-I and Type-II errors. Test of hypothesis for means, student’s t-distribution, Chi-square distribution as a test of goodness of fit.