CSVTU BE III Semester EEE Numerical Analysis Syllabus

Subject: Numerical Analysis

UNIT- 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

(No. of periods 6+2)

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 (No. of periods 6+2)

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

(No. of periods 6+2

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 (No. of periods 6+2)

Method of Least Squares, Fitting of a Straight Line, Parabola, Curves of the form y = ab

x

and

y = ax

b

.

TEXT BOOKS:

1. Numerical Methods in Engineering and Science by Dr. B.S. Grewal, Khanna Publishers.

2. Numerical Methods for Scientific and Engineering Computation by M .K. Jain, S. R. K. Iyengar &

R. K. Jain, Wiley Eastern Limited.

REFERENCE BOOKS.

1. Numerical Methods, by Noble ben, New York, International Publications New York 1964.

2. Numerical Methods for Scientists and Engineers by K. Shankar Rao, Prentice Hall of India.

3. Numerical Methods with C++ Programming, by Somasundaram & Chandrasekaran, Prentice Hall

of India.

4. Numerical Methods, by S. S. Shastry, Prentice Hall Inc. India 1998.