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# Computer Oriented Numerical Methods

This is the collection of Sikkim Manipal University (SMU) question and answers for Computer Oriented Numerical Methods. It will help to prepare your examination. All question paper are classified as per semester, subject code and question type of Part A, Part B and Part C with multiple choice options as same as actual examination. SMU question papers includes year 2024, 2023, 2022 Sem I, II, III, IV, V, VI examinations of all subjects.

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Course Name        BCA (Bachelor of Computer Application)

Subject Code       BC0043 (Computer Oriented Numerical Methods)

Get Questions        PART - A    PART - B    PART - C

Computer Oriented Numerical Methods Syllabus.

Unit 1- Errors and Computation
Introduction; Mathematical Preliminaries; Significant digits or Significant figures; Errors and their computations; Absolute, Relative and Percentage errors; Summary

Unit 2 - Solution of Algebraic and Transcendental Equations
Introduction; Graphical and Analytical Methods; Interval Halving Method; Regula- Falsi Method; Successive Approximation Method; Newton – Raphson Method;
Ramanujan’s Method; Summary

Unit 3-Matrices and Solutions of Systems of Linear Equations-Direct Methods
Introduction; Matrices; Operations on Matrices; Determinants; Rank of a Matrix; Existence of Solution of systems of linear equations; Direct Methods

Unit 4 - Solutions of System of Linear Equations – Iterative Methods
Introduction; Gauss - Jacobi Method; Gauss Seidel Method; Eigen Values and Eigen Vectors; Power Method

Unit 5- Curve Fitting
Introduction; Graphical Method (Linear Law); Method of Group Averages; Method of Least Squares; Method of Moments

Unit 6- Interpolation
Introduction; Finite Differences; Newton’s Forward Difference Interpolation Formula; Newton’s Backward Difference Interpolation Formula; Lagrange’s Interpolation; Formula; Divided differences

Unit 7 - Numerical Differentiation
Introduction; Differentiation using Newton’s Formulae; Derivatives using Newton’s General Interpolation Formula; Difference Equations

Unit 8- Numerical Integration
Introduction; Trapezoidal Rule; Simpson’s one third rule; Simpson’s three eighth rules

Unit 9 - Numerical Solution of Ordinary Differential Equations
Introduction; Initial Value Problems; Taylor’s series method; Euler’s method; Modified Euler’s method; Runge-Kutta method

Unit 10- Boundary Value Problems
Introduction; Method of Finite Differences solving BVP; Solving of Laplace’s and Poisson’s Equations

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