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Subject Syllabus

BT-202 – Mathematics-II

COMMON • SEMESTER-2

Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal

Course Modules

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Differential Equations of First Order and First Degree Leibnitz linear Bernoulli's Exact Differential Equations of First Order and Higher Degree Higher order differential equations with constants coefficients Homogeneous Linear Differential equations Simultaneous Differential Equations

Second order linear differential equations with variable coefficients Method of variation of parameters Power series solutions Legendre polynomials Bessel functions of the first kind Properties of Bessel functions

Formulation of Partial Differential equations Linear and Non-Linear Partial Differential Equations Homogeneous Linear Partial Differential Equations with Constants Coefficients

Analytic Functions Harmonic Conjugate Cauchy-Riemann Equations Line Integral Cauchy-Goursat theorem Cauchy Integral formula Singular Points Poles & Residues Residue Theorem Application of Residues theorem for Evaluation of Real Integral (Unit Circle)

Differentiation of Vectors Scalar and vector point function Gradient Geometrical meaning of gradient Directional Derivative Divergence and Curl Line Integral Surface Integral Volume Integral Gauss Divergence Stokes theorem Green theorems