Prerequisites:

Foundation course (No prerequisites)

Course Objectives:

To learn --

1. Random variables that describe randomness or an uncertainty in certain realistic situation
2. Binomial geometric and normal distributions
3. Sampling distribution of mean, variance, point estimation and interval estimation
4. The testing of hypothesis and ANOVA 
5. The topics those deals with methods to find roots of an equation
6. To fit a desired curve by the method of least squares for the given data
7. Solving ordinary differential equations using numerical techniques

Course Outcomes:

After learning the contents of this course the student must be able to

1. Differentiate among random variables involved in the probability models which are useful for all branches of engineering
2. Calculate mean, proportions and variances of sampling distributions and to make important decisions s for few samples which are taken from a large data
3. Solve the tests of ANOVA for classified data
4. Find the root of a given equation and solution of a system of equations
5. Fit a curve for a given data
6. Find the numerical solutions for a given first order initial value problem

Text Books:

1. Probability and Statistics for Engineers by Richard Arnold Johnson, Irwin Miller and John E. Freund, New Delhi, Prentice Hall.
2. Probability and Statistics for Engineers and Sciences by Jay L. Devore, Cengage Learning.
3. Numerical Methods for Scientific and Engineering Computation by M. K. Jain, S. R. K. Iyengar and R. K. Jain, New Age International Publishers

References:

1. Fundamentals of Mathematical Statistics by S. C. Guptha & V. K. Kapoor, S. Chand.
2. Introductory Methods of Numerical Analysis by S. S. Sastry, PHI Learning Pvt. Ltd.
3. Mathematics for engineers and scientists by Alan Jeffrey, 6th edition, CRC press.

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