Numerical Methods

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ISBN- 978-93-89516-39-5

Er. Manish Swami & Ajay Kumar Raghav

BCA, Fifth Semester, According to ‘UP Unified Syllabus’
Syllabus
 
BCA-S304: NUMERICAL METHODS
 
Unit-I
Roots of Equations
Bisections Method, False Position Method,Newton’s Raphson Method, Rate of Convergence of Newton’s Method.
 
Unit-II
Interpolation and Extrapolation
Finite Differences, The Operator E, Newton’s Forward and Backward Differences, Newton’s Dividend Differences Formulae, Lagrange’s Interpolation Formula for Unequal Intervals, Gauss’s Interpolation Formula, Starling Formula, Bessel’s Formula, Laplace-Everett Formula.
 
Unit-III
Numerical Differentiation Numerical Integration
Introduction, Direct Methods, Maxima and Minima of a Tabulated Function, General Quadratic Formula, Trapezoidal Rule, Simpson’s One Third Rule, Simpson’s Three- Eight Rule.
 
Unit-IV
Solution of Linear Equation
Gauss’s Elimination Method and Gauss’s Siedel Iterative Method.
 
Unit-V
Solution of Differential Equations
Euler’s Method, Picard’s Method, Fourth-Order Ranga-Kutta Method. 
UP/BCA/2019/5/03
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