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# Doebelin’s Measurement Systems Book 2018 Best Study Materials

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## Description

### Candidates can get Best Doebelin’s Measurement SystemsBooks 2018 also a Top List of Main Study Materials for 2017-2018 entrance exam in India.

• Doebelin’s Measurement Systems
by Ernest Doebelin and Dhanesh Manik

### Syllabus

Course Objectives-

• To understand concepts of pseudocode and various errors.
• To solve algebraic, transcendental and system of linear equations by using various techniques.
• To understand the concepts of curve fitting, interpolation with equal and unequal intervals.
• To understand the concepts of numerical differentiation and numerical integral by various methods.
• To solve the ordinary differential equations with initial condition by numerical techniques.
• To solve the partial differential equations using numerical techniques.

Course Content

INTRODUCTION

• Simple mathematical modeling and engineering problem solving – Algorithm Design – Flow charting and pseudocode – Accuracy and precision – round off errors.

NUMERICAL SOLUTION OF ALGEBRAIC EQUATIONS

• Solution of nonlinear equations: False position method – Fixed point iteration – Newton Raphson method for a single equation and a set of non- linear equations Solution of linear system of equations by Gaussian elimination-Gauss Jordan method – Gauss 10 Seidel method.

CURVE FITTING AND INTERPOLATION

• Curve fitting – Method of least squares – Regression – Interpolation: Newton‟s forward and backward difference formulae – Divided differences – Newton‟s divided difference formula – Lagrange‟s interpolation – Inverse interpolation

NUMERICAL DIFFERENTIATION AND INTEGRATION

• Numerical differentiation by using Newton‟s forward, backward and divided differences – Numerical integration by Trapezoidal and Simpson‟s 1/3 and 3/8 rules – Numerical double integration.

NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

• Initial value problems – Single step methods: Taylor‟s series method – Truncation error – Euler and Improved Euler methods – Fourth order Runge – Kutta method – Multistep methods: Milne‟s predictor – corrector method.

NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS

• PDEs and Engineering Practice – Laplace Equation derivation for steady heat conduction – Numerical solution of the above problem by finite difference schemes – Parabolic Equations from Fourier`s Law of Transient Heat Conduction and their solution through implicit schemes – Method of Lines – Wave propagation through hyperbolic equations and solution by explicit method. Use of MATLAB Programs to workout solutions for all the problems of interest in the above topics

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