Anna University Textile Chemistry syllabus of B. Tech. Textile Chemistry Semester III. In this article, we are glad to provide the syllabus Probability and Statistical Methods.
We aim to provide the following semester III MA3357 – Probability and Statistical Methods syllabus in a detailed manner. We include the appropriate syllabus textbooks and references. Hope this information is useful. Don’t forget to share with your classmates.
If you want to know more about the B. Tech. Textile Chemistry Syllabus is connected to an affiliated institution’s four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B. Tech. Textile Chemistry Syllabus Regulation 2021 Anna University.
Aim Of Objectives:
- To develop Probability techniques in manufacturing and quality evaluation process.
- To familiarize the students with two-dimensional random variables.
- To familiarize the student with Differential Equations.
- To make the students to understand various techniques of Correlation and Time-series Analysis.
- To acquaint the student with mathematical tools needed in evaluating Statistical quality control and to apply in the textile manufacturing industry.
MA3357 – Probability and Statistical Methods Syllabus
Unit – I: Probability And Random Variables
Probability – axioms of probability – Conditional probability – Baye’s theorem – Discrete and continuous random variables – Moments – Moment Generating functions – Binomial, Poisson, Geometric, Uniform, Exponential, Gamma and Normal distributions.
Unit – II: Two-Dimensional Random Variables
Join distributions – Marginal distributions and conditional distributions –Moments – Covariance Transforms of random variables – Central limit theorem.
Unit – III: Differential Equations
Higher order linear differential equations with constant coefficients – Method of variation of parameters – Homogenous equation of Euler’s and Legendre’s type – System of simultaneous linear differential equations with constant coefficients – Method of undermined coefficients.
Unit – IV: Correlation, Regression, Index Numbers, And Times Series Analysis
Correlation analysis, estimation of a regression line. Time series analysis: Variations in time series, trend analysis, cyclical variations, seasonal variations and irregular variations. Index Numbers – Lasperyre’s, Paasche’s, and Fisher’s Ideal Index.
Unit – V: Statistical Quality Control
Control charts for measurements (X and R chart ) – Control charts for attributes ( p, C and np) charts – Tolerance limits – acceptance Sampling.
Text Books:
- Johnson, R.A., Miller, I and Freund J., “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 8th Edition, 2015.
- Milton. J. S. and Arnold. J.C., “Introduction to Probability and Statistics”, Tata McGraw Hill, 4th Edition, 2007.
- Kreyszig. E, “Advanced Engineering Mathematics”, John Wiley and Sons, 10th Edition, New Delhi, 2016.
- Grewal. B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 44th Edition, 2018.
- Richard I. Levin, David S. Rubin, Sanjay Rastogi Masood Husain Siddiqui, Statistics for Management, Pearson Education, 7th Edition, 2016.
References:
- Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014.
- Papoulis, A. and Unnikrishnapillai, S., “Probability, Random Variables, and Stochastic Processes”, McGraw Hill Education India, 4th Edition, New Delhi, 2010.
- Jain. R.K. and Iyengar. S.R.K., “ Advanced Engineering Mathematics ”, Narosa Publications, New Delhi, 5th Edition, 2016.
- Ramana. B.V., ” Higher Engineering Mathematics “, McGraw Hill Education Pvt. Ltd, New Delhi, 2016.
- Prem.S.Mann, “Introductory Statistics” 7th Edition, Wiley India, 2016.
- Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani, “An Introduction to Statistical Learning with Applications in R”, Springer, 2016.
- Aczel A.D. and Sounderpandian J., “Complete Business Statistics”, 6th edition, Tata McGraw Hill Publishing Company Ltd., New Delhi, 2012.
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