Bihar Engineering University, Bihar, Information Technology Semester 2, Mathematics –II (Probability and Statistics) Syllabus

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Unit - 1 Basic Probability

Module 3

First order ordinary Differential Equation

3.1 Exact Differential Equation

3.2 Linear differential equation

3.3 Bernoulli equation

3.4 Eulers equation

3.5 Equation not of first degree

3.6 Clairauts equation

Unit - 2 Continuous Probability Distributions

Module 3

Ordinary Differential Equation of higher orders

3.1 Second order Linear Differential equation with variable coefficient

3.2 Method of variation of Parameters

3.3 Cauchy Euler Equation

3.4 Power Series solution

3.5 Legendre’s Equation

3.6 Bessel function

Unit - 3 Bivariate Distributions

Module 3C

Partial Differential equation First order

3.1 First Order Partial differential equation

3.2 Solution of first order linear and nonlinear partial differential equation

Unit - 4 Basic Statistics

Module 3D

Partial Differential Equation Higher Order

3.1 Solution to homogenous and non homogenous linear partial differential equation second and higher order by CF and PI

3.2 Flows Vibrations Diffusion

3.3 Second order linear equation and their classification

3.4 Initial and Boundary condition

3.6 Duhamel’s Principle for One Dimensional Wace Equation

3.7 Method of separation of variables

3.8 Laplacian in plane Cylindrical and Spherical polar coordinates

Unit - 5 Applied Statistics

Module 4A

Complex Variables Differentiation

4.1 Differentiation

4.2 Cauchy Riemann Equation

4.3 Analytic Function

4.4 Harmonic Function

4.5 Finding harmonic conjugate

4.6 Elementary Analytic Function

4.7 Conformal mappings

4.8 Mobius Transformation

Unit - 6 Small Samples

Module 4 B

Complex variable integration

4.1 Contour integral

4.2 Cauchy Goursat Theorem

4.3 Cauchy integral formula

4.4 Liouvilles Theorem and Maximum modulus Theorem

4.5 Taylors series

4.6 Singularities

4.7 Laurents series

4.8 Residue

4.9 Cauchy Residue theorem

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Other Subjects of Semester-2
English
Chemistry
Programming for problem solving
Workshop manufacturing practices
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