Probability, Statistics and Complex Variables Mining Syllabus for B.Tech 2nd Year 1st Sem R22 Regulation JNTUH

Probability, Statistics and Complex Variables detailed syllabus for Mining Engineering (Mining), 2nd Year 1st Sem R22 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 Mining Engineering (Mining) 2nd Year 1st Sem R22 Regulation Scheme, do visit Mining 2nd Year 1st Sem R22 Scheme. The detailed syllabus for probability, statistics and complex variables is as follows.

Probability, Statistics and Complex Variables Subject Syllabus for Mining 2nd Year 1st Sem R22 Regulation

Pre-requisites:

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Course Objectives:

To learn

The ideas of probability and random variables and various discrete and continuous probability distributions and their properties.
The basic ideas of statistics including measures of central tendency, correlation and regression.
The statistical methods of studying data samples.
Differentiation and integration of complex valued functions.
Evaluation of integrals using Cauchy’s integral formula and Cauchy’s residue theorem.
Expansion of complex functions using Taylor’s and Laurent’s series.

Course outcomes:

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

Formulate and solve problems involving random variables and apply statistical methods for analyzing experimental data.
Apply concept of estimation and testing of hypothesis to case studies.
Analyze the complex function with reference to their analyticity, integration using Cauchy’s integral and residue theorems.
Taylor’s and Laurent’s series expansions of complex function.

UNIT-I

UNIT-II

Probability distributions 10 L
Binomial, Poisson, evaluation of statistical parameters for these distributions, Poisson approximation to the binomial distribution, Continuous random variables and their properties, distribution functions and density functions, Normal and exponential, evaluation of statistical parameters for these distributions

UNIT-III

Estimation and Tests of Hypotheses 10 L
Introduction, Statistical Inference, Classical Methods of Estimation.: Estimating the Mean, Standard Error of a Point Estimate, Prediction Intervals, Estimating a Proportion for single sample, Difference between Two Means, difference between two proportions for two Samples. Statistical Hypotheses: General Concepts, Testing a Statistical Hypothesis, Tests Concerning a Single Mean, Tests on Two Means, Test on a Single Proportion, Two Samples: Tests on Two Proportions.

UNIT-IV

UNIT-V

Complex Integration 10 L
Line integral, Cauchy’s theorem, Cauchy’s Integral formula, Zeros of analytic functions, Singularities, Taylor’s series, Laurent’s series, Residues, Cauchy Residue theorem (All theorems without Proof).

TEXT BOOKS:

B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 35th Edition, 2010.
Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, keying Ye, Probability and statistics for engineers and scientists, 9th Edition, Pearson Publications.

REFERENCE BOOKS:

For detailed syllabus of all the other subjects of B.Tech 2nd Year Mining Engineering (Mining), visit Mining Engineering (Mining) 2nd Year Syllabus Subjects.

For results of Mining Engineering (Mining) 2nd Year 1st Sem R22 Regulation, visit Mining 2nd Year 1st Sem R22 Regulation results direct link.