Numerical Analysis1. Unit-1
2. Unit-2
3. Unit-3
4. Unit-4
5. Unit-5
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Numerical Analysis SyllabusUNIT- 1 NUMERICAL SOLUTIONS OF ALGEBRAIC AND TRANSCENDENTAL EQUATIONS Bisection Method, Regula-Falsi Method, Newton-Raphson Method, Secant Method, Birge-Vieta Method, Bairstow’s Method. UNIT – 2 NUMERICAL SOLUTIONS OF SIMULTANEOUS LINEAR EQUATIONS Direct Methods - Gauss Elimination, Gauss-Jordan & Crout’s Triangularisation Method. Iterative Methods - Jacobi’s, Gauss- Siedal & Successive Over Relaxation Method. UNIT – 3 NUMERICAL DIFFERENTIATION AND INTEGRATION Finite Differences, Derivatives using Forward, Backward and Central Difference Formulae. Newton-Cote’s quadrature formula, Trapezoidal rule, Simpson’s rules, Weddle’s rule. UNIT – 4 NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS Picards Method, Taylor’s Series Method, Euler’s Method, Euler’s Modified Method, Range-Kutta Methods, Predictor-corrector Methods- Milne’s Method, Adams-Bashforth Method. UNIT – 5 CURVE FITTING AND METHOD OF LEAST SQUARES Method of Least Squares, Fitting of a Straight Line, Parabola, Curves of the form y = ab x and y = ax b . |