Complex Variable and Statistics
3 Credit Hour Course
Intended For Level 2 Term 1 Students
Prerequisite:
None
Complex Variable: Complex number system; General
functions of a complex variable; Limits and continuity of a function of
complex variable and related theorems; Complex differentiation and the
Cauchyâ€"Riemann Equations; Mapping by elementary functions; Line
integral of a complex function; Cauchy’s Integral Theorem; Cauchy’s
Integral Formula; Liouville’s Theorem; Taylor’s Theorem and
Laurent’s Theorem. Singular points; Residue; Cauchy’s Residue
Theorem. Evaluation of residues; Contour integration; Conformal mapping.
Statistics: Frequency distribution; Mean, median, mode and other
measures of central tendency; Standard deviation and other measures of
dispersion; Moments, skewness and kurtosis; Elementary probability
theory and discontinuous probability distribution, (binomial, Poisson
and negative binomial); Characteristics of distributions; Elementary
sampling theory; Estimation; Hypothesis testing and regression analysis.
- Teacher: Dr. Khandker Farid Uddin Ahmed