# MA301BS: Probability and Statistics and Complex Variables MME Syllabus for B.Tech 2nd Year 1st Sem R18 Regulation JNTUH

Probability and Statistics and Complex Variables detailed syllabus for Metallurgical & Materials Engineering (MME), 2nd Year 1st 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 Metallurgical & Materials Engineering (MME) 2nd Year 1st Sem R18 Regulation Scheme, do visit MME 2nd Year 1st Sem R18 Scheme. The detailed syllabus for probability and statistics and complex variables is as follows.

## Probability and Statistics and Complex Variables Subject Syllabus for MME 2nd Year 1st Sem R18 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 analysing experimental data.
• Analyse 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: Basic Probability 8 L

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#### 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: Testing of Hypothesis 10 L

Test of significance: Basic of testing of Hypothesis. Null and alternate Hypothesis, types of errors, level of significance, critical region.
Large sample test for single proportion, difference of proportions, single mean, difference of means; small sample tests: Test for single mean, difference of means and test for ratio of variances

#### UNIT – IV: Complex Variables (Differentiation) 10 L

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#### UNIT – V: Complex Variables (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, Conformal mappings, Mobius transformations and their properties.

#### TEXT BOOKS:

1. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 35th Edition, 2010.
2. Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, keying Ye, Probability and statistics for engineers and scientists, 9th Edition, Pearson Publications.
3. J. W. Brown and R. V. Churchill, Complex Variables and Applications, 7th Ed., Mc-Graw Hill, 2004.

#### REFERENCES:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.
.

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

For results of Metallurgical & Materials Engineering (MME) 2nd Year 1st Sem R18 Regulation, visit MME 2nd Year 1st Sem R18 Regulation results direct link.

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