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Book Details

Mathematics-III

Mathematics-III

Published by uLektz

Course Code:BSCM1205

Author:uLektz

University: Biju Patnaik University of Technology (BPUT)

Regulation:2010

Categories:Engineering Mathematics

Format : ico_bookePUB3 (DRM Protected)

Type :eBook

Rs.378 Rs.227 Rs.40% off

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Description :Mathematics-III

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

Topics
Module-I Partial Differential Equations & Laplace Equations

1.1 Partial differential equation of first order, Linear partial differential equation, Non-linear partial differential equation

1.2 Homogenous and non-homogeneous partial differential equation with constant co-efficient, Cauchy type, Monge’s method

1.3 Second order partial differential equation

1.4 The vibrating string, the wave equation and its solution, the heat equation and its solution, Two dimensional wave equation and its solution

1.5 Laplace equation in polar, cylindrical and spherical coordinates, potential

Module-II Complex Analysis

2.1 Complex Analysis: Analytic function, Cauchy-Riemann equations

2.2 Laplace equation, Conformal mapping

2.3 Complex integration: Line integral in the complex plane, Cauchy’s integral theorem, Cauchy’s integral formula, Derivatives of analytic functions

Module–III Power Series, Taylor’s series &Laurent’s series

3.1 Power Series, Taylor’s series, Laurent’s series

3.2 Singularities and zeros

3.3 Residue integration method, evaluation of real integrals

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