[PDF] MA3303 Probability and Complex Functions (PCF) Books, Lecture Notes, 2 marks with answers, Important Part B 16 Marks Questions, Question Bank & Syllabus

MA3303 PROBABILITY AND COMPLEX FUNCTIONS

UNIT I PROBABILITY AND RANDOM VARIABLES

Axioms of probability – Conditional probability – Baye’s theorem – Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions – Functions of a random variable.

UNIT II TWO-DIMENSIONAL RANDOM VARIABLES

Joint distributions – Marginal and conditional distributions – Covariance – Correlation and linear regression – Transformation of random variables – Central limit theorem (for independent and identically distributed random variables).

UNIT III ANALYTIC FUNCTIONS

Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar coordinates – Properties – Harmonic conjugates – Construction of analytic function – Conformal mapping – Mapping by functions – Bilinear transformation.

UNIT IV COMPLEX INTEGRATION

Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Taylor’s and Laurent’s series – Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real integrals – Applications of circular contour and semicircular contour (with poles NOT on real axis).

UNIT V ORDINARY DIFFERENTIAL EQUATIONS

Higher order linear differential equations with constant coefficients – Method of variation of parameters – Homogenous equation of Euler’s and Legendre’s type – System of simultaneous linear first order differential equations with constant coefficients – Method of undetermined coefficients.

DOWNLOAD LINK

Anna University MA3303 Probability and Complex Functions Books Question Banks Lecture Notes Syllabus MA3303 Probability and Complex Functions Part A 2 Marks with Answers Part – B 16 Marks Questions with Answers & Anna University MA3303 Probability and Complex Functions Question Paper Collection and Local Author Books.

Click below the link “DOWNLOAD” to save the Book/Material (PDF)

Kindly Note : There are different collection of MA3303 Probability and Complex Functions study materials are listed below. Based on your requirement choose the suitable material for your preparation.