Book Details

Mathematics - II

Mathematics - II

Published by uLektz

Course Code:R13207

Author:uLektz

University: JNTU Kakinada

Regulation:2016

Categories:Engineering Mathematics

Format : ico_bookePUB3 (DRM Protected)

Type :eBook

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Description :Mathematics - II Mathematics - II of R13207 for JNTU Kakinada, 2016 Author: uLektz, Published by uLektz. It is an eBook of ePUB (DRM Protected). No physical or print copy will be shipped. This eBook can accessed via uLektz Platform.

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Topics
UNIT I SOLUTION OF ALGEBRAIC AND TRANSCENDENTAL EQUATIONS

1.1 Introduction- Bisection Method

1.2 Method of False Position

1.3 Iteration Method

1.4 Newton-Raphson Method(One variable and Simultaneous Equations)

UNIT II INTERPOLATION

2.1 Introduction- Errors in Polynomial Interpolation

2.2 Finite differences

2.3 Forward Differences- Backward differences -Central differences

2.4 Symbolic relations and separation of symbols-Differences of a polynomial

2.5 Newton’s formulae for interpolation

2.6 Interpolation with unevenly spaced points -Lagrange’s Interpolation formula

UNIT III NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

3.1 Solution by Taylor’s series

3.2 Picard’s Method of successive Approximations

3.3 Euler’s Method

3.4 Runge-Kutta Methods

UNIT IV FOURIER SERIES

4.1 Introduction- Determination of Fourier coefficients

4.2 Even and odd functions –change of interval

4.3 Half-range sine and cosine series application: Amplitude, spectrum of a periodic function

UNIT V FOURIER TRANSFORMS

5.1 Fourier integral theorem (only statement) - Fourier sine and cosine integrals

5.2 Sine and cosine transforms – properties – inverse transform - Finite Fourier transforms

UNIT VI Z-TRANSFORM

6.1 Introduction– properties – Damping rule – Shifting rule - Initial and final value theorems

6.2 Inverse z transform

6.3 Convolution theorem

6.4 Solution of difference equation by Z -transforms.

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