Teaching Scheme (in Hours)
| Theory |
Tutorial |
Practical |
Total |
| 3 |
2 |
0 |
5 |
Subject Credit : 5
Examination Scheme (in Marks)
Theory
ESE (E)
|
Theory
PA (M)
|
Practical
ESE Viva (V)
|
Practical
PA (I)
|
Total
|
| 70 |
30 |
0 |
0 |
100 |
Syllabus Content
Unit-1: Numerical Solutions
Roots of Algebraic and Transcendental Equations : Bisection, false position, Secant and Newton-Raphson methods, Fixed Point Iteration, Rate of convergence,Applications to electrical engineering problems.
Unit-2: Interpolation
Finite Differences, Forward, Backward and Central operators, Interpolation by polynomials: Newton’s forward ,Backward interpolation formulae, Newton’s divided formulae and Lagrange’s interpolation formulae for unequal intervals, Applications to electrical engineering problems
Unit-3: Numerical Integration
Newton-Cotes formula, Trapezoidal and Simpson’s formulae, error formulae, Gaussian quadrature formulae, Applications to electrical engineering problems
Unit-4: Numerical solution of Ordinary Differential Equations
Picard, Taylor, Euler methods and Runge-Kutta methods, Applications to electrical engineering problems
Unit-5: Curve fitting by the numerical method
Curve fitting by of method of least squares, fitting of straight lines, second degree parabola and more general curves.
Unit-6: Basic Probability
Experiment, definition of probability,conditional probability, independent events, Bayes' rule, Bernoulli trials, Random variables, discrete random variable, probability mass function, continuous random variable, probability density function, cumulative distribution function, properties of cumulative distribution function, Applications to electrical engineering problems
Unit-7: Basic Statistics
Measure of central tendency: Moments, Expectation, dispersion, skewness, kurtosis, Bounds on probability, Chebyshev‘s Inequality, Applications to electrical engineering problems.
Course Outcome
After learning the course, the students should be able to:
- Solve algebraic equation related to electric engineering problem by using numerical methods and understand convergent of it.
- Find unknown value of given data by using various interpolation methods and curve fitting.
- Calculate integration and solve differential equations by using numerical methods.
- Understand the terminologies of basic probability and their probability functions and apply it in electrical problems.
- Understand the central tendency methods and apply it in electrical problems.
