# Mathematics - II

Course Code:R13207

Author:uLektz

University:

Regulation:2016

Categories:Civil

Format : ePUB3 (DRM Protected)

Type :eBook

Rs.199 Rs.30 Rs.85% off

Description :Mathematics - II of R13207 covers the latest syllabus prescribed by JNTU Kakinada for regulation 2016. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

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

##### 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.