Probability Distributions and Numerical Methods detailed syllabus for Aeronautical Engineering (AE), 2nd Year 2nd Sem R18 regulation has been taken from the JNTUH official website and presented for the B.Tech students affiliated to JNTUH course structure. For Course Code, Subject Names, Theory Lectures, Tutorial, Practical/Drawing, Credits, and other information do visit full semester subjects post given below. We make sure the result links and syllabus uploaded here is latest and up to date, also the syllabus PDF files can also be downloaded from the universities official website.
For Aeronautical Engineering (AE) 2nd Year 2nd Sem R18 Regulation Scheme, do visit AE 2nd Year 2nd Sem R18 Scheme. The detailed syllabus for probability distributions and numerical methods is as follows.
Probability Distributions and Numerical Methods Subject Syllabus for AE 2nd Year 2nd Sem R18 Regulation
Course Objectives:
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Course outcomes:
After learning the contents of this paper the student must be able to
- Formulate and solve problems involving the multiple random variables and the ANOVA for analysing the experimental data.
- The student would able to understand about the random process, Markov process and Markov chains which are essentially models of many time dependent processes such as signals in communications, time series analysis, queuing systems. The student would be able to find the limiting probabilities and the probabilities in nth state.
- Find a better approximate root of a given equation.
- Fit a linear, non-linear and exponential curve for the given data.
- Find the finite difference operators in a given data or value of the dependent variable for a given independent variable
- Evaluate the derivative at a given value and integral of a function.
- Solve the initial value problems.
UNIT – I: Multiple Random variables, Correlation & Regression
Joint probability distributions- Joint probability mass / density function, Marginal probability mass / density functions, Covariance of two random variables- ANOVA for one-way classified data.
UNIT – II: Stochastic processes
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UNIT – III: Solution of Algebraic, Transcendental Equations and Curve fitting
Bisection method, Regula-Falsi method, Iteration method, Newton-Raphson method.
Curve Fitting: Method of least squares, Fitting a straight line, Second degree parabola and Non-linear curves of the form y= aebx, y= abx, y= axbby the method of least squares.
UNIT – IV: Interpolation and Numerical Differentiation
Finite differences: Forward, Backward and Central differences, – Newton’s interpolation formulae, Central difference interpolation formulae: Gauss’s forward and backward interpolation formulae, Interpolation with unequal intervals: Lagrange’s interpolation formula.
Numerical differentiation: Derivatives using Newton’s interpolation formulae.
UNIT – V: Integration and Solution of Ordinary Differential Equations of First Order
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TEXT BOOKS:
- Probability and Statistics for Engineers and Scientists by Sheldon M Ross, Academic Press
- S S Sastry, Introductory Methods of Numerical Analysis, Fifth Edition, PHI Learning Pvt. Ltd, New Delhi, 2012.
- B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 36th Edition, 2010.
REFERENCES:
- T. T. Soong, Fundamentals of Probability and Statistics for Engineers, John Wiley & Sons, Ltd, 2004.
- B V Ramana, Higher Engineering Mathematics, Tata McGraw Hill Education Private Limited, New Delhi, 29th Reprint, 2017
For detailed syllabus of all the other subjects of B.Tech 2nd Year Aeronautical Engineering (AE), visit Aeronautical Engineering (AE) 2nd Year Syllabus Subjects.
For results of Aeronautical Engineering (AE) 2nd Year 2nd Sem R18 Regulation, visit AE 2nd Year 2nd Sem R18 Regulation results direct link.