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Higher Engineering Mathematics By B.S. Grewal – PDF Free Download


Higher Engineering Mathematics By B.S. Grewal - Free Download PDF
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Book Contents

  • Unit I : Algebra, Vectors and Geometry
  • Solution of Equations
  • Linear Algebra: Determinants, Matrices
  • Vector Algebra and Solid Geometry
  •     Unit II : Calculus
  • Differential Calculus & Its Applications
  • Partial Differentiation & Its Applications
  • Integral Calculus & Its Applications
  • Multiple Integrals & Beta, Gamma Functions
  • Vector Calculus & Its Applications
  • Univ III : Series
  • Infinite Series
  • Fourier Series & Harmonic Anslysis
  •     Unit IV : Differential Equations
  • Differential Equations of First Order
  • Applications of Differential Equations of First Order
  • Linear Differential Equations
  • Applications of Linear Differential Equations
  • Differential Equations of Other Types
  • Series Solution of Differential Equations and Special Functions
  • Partial Differential Equations
  • Applications of Partial Differential Equations
  •     Unit V : Complex Analysis
  • Complex Numbers and Functions
  • Calculus of Complex Functions
  •     Unit VI : Transforms
  • Laplace Transforms
  • Fourier Transforms
  • Z-Transforms
  •     Unit VII : Numerical Techniques
  •     Empirical Laws and Curve-fitting
  • Statistical Methods
  • Probability and Distributions
  • Sampling and Inference
  • Numerical Solution of Equations
  • Finite Differences and Interpolation
  • Numerical Differentiation and Integration
  • Difference Equations
  • Numerical Solution of Ordinary Differential Equations
  • Numerical Solution of Partial Differential Equations
  • Linear Programming
  •     Unit VIII : Special Topics
  • Calculus of Variations
  • Integral Equations
  • Discrete Mathematics
  • Tensor Analysis
  • Useful Information
  • Tables
  • Answers to Problems
  • Index


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Engineering Mathematics A Foundation for Electronic, Electrical, Communications and Systems Engineers Fifth Edition By Anthony Croft, Robert Davison, Martin Hargreaves and James Flint



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{PDF} MA6459 Numerical Methods (NM) Books, Lecture Notes, 2marks with answers, Important Part B 16marks Questions, Question Bank & Syllabus

MA6459 Numerical Methods (NM) Part A & Part B Important Questions with Answers

MA6459 Numerical Methods


Semester : 04
Department : Civil Engineering (CE)
Year : Second Year (II Year)
Regulation : 2013
Subject Code / Name : MA6459 Numerical Methods (NM)
Content : Syllabus, Question Banks, Books, Lecture Notes, Important Part A 2 Marks Questions and Important Part B 16 Mark Questions, Previous Years Question Papers Collections.

MA6459 Numerical Methods (NM) Syllabus

UNIT I 

 SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS  
                    
Solution of algebraic and transcendental equations – Fixed point iteration method – Newton Raphson method- Solution of linear system of equations – Gauss elimination method – Pivoting – Gauss Jordan method – Iterative methods of Gauss Jacobi and Gauss Seidel – Matrix Inversion by Gauss Jordan method – Eigen values of a matrix by Power method.

UNIT II  

INTERPOLATION  AND  APPROXIMATION 
                                                 
Interpolation with unequal intervals – Lagrange’s interpolation – Newton‟s  divided  difference interpolation – Cubic Splines – Interpolation with equal intervals – Newton‟s forward and backward difference formulae.

UNIT III 

NUMERICAL  DIFFERENTIATION  AND  INTEGRATION                                 
Approximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal,  Simpson‟s  1/3  rule  – Romberg‟s  method  – Two point and three point Gaussian quadrature formulae – Evaluation of double integrals by Trapezoidal and Simpson‟s 1/3 rules.
UNIT IV
INITIAL  VALUE  PROBLEMS  FOR  ORDINARY  DIFFERENTIAL  EQUATIONS           Single Step methods – Taylor‟s series method – Euler‟s method – Modified Euler‟s method – Fourth order Runge-Kutta method for solving first order equations – Multi step methods – Milne‟s  and Adams-Bash forth predictor corrector methods for solving first order equations.
UNIT V 

BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS                                                              
Finite difference methods for solving two-point linear boundary value problems – Finite difference techniques for the solution of two dimensional Laplace‟s and Poisson‟s equations on rectangular domain – One dimensional heat flow equation by explicit and implicit (Crank Nicholson) methods – One dimensional wave equation by explicit method.

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Anna University MA6459 Numerical Methods (NM) Books Question banks Lecture Notes Syllabus MA6459 Numerical Methods (NM) Part A 2 marks with answers Part B 16 marks Questions with answers & Anna University MA6459 Numerical Methods (NM) Question Papers Collection.
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Lecture Notes

MA6459 Numerical Methods (NM) Lecture Notes

  • Lecture Notes Collections 1 DOWNLOAD (Including 2marks & Year Wise Collections)
  • Lecture Notes Collections 2 DOWNLOAD
  • Lecture Notes Collections 3 DOWNLOAD (Handwritten Notes)
Part A – 2 Marks

MA6459 Numerical Methods (NM) unit wise 2 marks with Answers

  • UNIT 1 to UNIT 5 – 2MARKS DOWNLOAD (Refer Part B also)
  • UNIT 1 to UNIT 5 – 2MARKS DOWNLOAD
Part B – 16 Marks

MA6459 Numerical Methods (NM) unit wise 16 marks with answers

  • Collections 1 DOWNLOAD (Including 2marks & Year Wise Collections)
  • Collections 3 DOWNLOAD (Handwritten Notes)
Question Papers

MA6459 Numerical Methods (NM) Question Papers Collections

  • Last 5 Years Anna University Question Papers Collection DOWNLOAD
Question Banks

MA6459 Numerical Methods (NM) Question Bank



TNPSC Group 2 Model Test Question
with key answers and maths solved

Test question no.1



Test question no.12



Test question no.13