JNTUK B.TECH R20 2-2 Syllabus For Complex variables and statistical methods PDF 2022
January 11, 2022 2022-01-11 21:38JNTUK B.TECH R20 2-2 Syllabus For Complex variables and statistical methods PDF 2022
JNTUK B.TECH R20 2-2 Syllabus For Complex variables and statistical methods PDF 2022
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You will be able to find information about Complex variables and statistical methods along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding Complex variables and statistical methods after reading this blog. Complex variables and statistical methods has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Complex variables and statistical methods can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.
All of the Topic and subtopics related to Complex variables and statistical methods are mentioned below in detail. If you are having a hard time understanding Complex variables and statistical methods or any other Engineering Subject of any semester or year then please watch the video lectures on the official CynoHub app as it has detailed explanations of each and every topic making your engineering experience easy and fun.
Complex variables and statistical methods Unit One
Functions of a complex variable and Complex integration
Introduction – Continuity – Differentiability – Analyticity –Cauchy-Riemann equations in Cartesian and polar coordinates – Harmonicand conjugate harmonic functions – Milne – Thompson method.
Complex integration: Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Generalized integral formula (all without proofs) and problems on above theorems.
Complex variables and statistical methods Unit Two
Series expansions and Residue Theorem
Radius of convergence – Expansion in Taylor’s series, Maclaurin’s series andLaurent series.
Types of Singularities: Isolated – Essential –Pole of order m– Residues – Residue theorem
(without proof) – Evaluation of real integral of the types
………………Column Break……………… f (x)dx and
………………Column Break………………c f (cos,sin )d .
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Complex variables and statistical methods Unit Three
Probability and Distributions
Review of probability and Baye’s theorem – Random variables – Discrete and Continuous random variables – Distribution functions – Probability mass function, Probability density function and Cumulative distribution functions – Mathematical Expectation and Variance – Binomial, Poisson, Uniform and Normal distributions
Complex variables and statistical methods Unit Four
Sampling Theory
Introduction – Population and Samples – Sampling distribution of Means and Variance (definition only) – Central limit theorem (without proof) – Representation of the normal theory distributions –
Introduction to t, estimate.
………………Column Break……………… 2 and F-distributions – Point and Interval estimations – Maximum error of
Complex variables and statistical methods Unit Five
Tests of Hypothesis
Introduction – Hypothesis – Null and Alternative Hypothesis – Type I and Type II errors – Level of significance – One tail and two-tail tests – Tests concerning one mean and two means (Large and Small samples) – Tests on proportions
Complex variables and statistical methods Course Objectives
To familiarize the complex variables.
To make the student capable of evaluating the integrals in complex domains
To make the student capable of expanding a given function as a series and finding the poles and residues
To make the student capable of evaluating the integrals in complex domains using residue theorem
To familiarize the students with the foundations of probability and statistical methods.
To equip the students to solve application problems in their disciplines.
Complex variables and statistical methods Course Outcomes
At the end of the course students will be able to
apply Cauchy-Riemann equations to complex functions in order to determine whether a given continuous function is analytic (L3)
find the differentiation and integration of complex functions used in engineering problems (L5)
make use of the Cauchy residue theorem to evaluate certain integrals (L3)
apply discrete and continuous probability distributions (L3)
design the components of a classical hypothesis test (L6)
infer the statistical inferential methods based on small and large sampling tests (L4)
Complex variables and statistical methods Text Books
B. S. Grewal, Higher Engineering Mathematics, 44th Edition, Khanna Publishers.
Miller and Freund’s, Probability and Statistics for Engineers,7/e, Pearson, 2008
Complex variables and statistical methods Reference Books
J. W. Brown and R. V. Churchill, Complex Variables and Applications, 9th edition, Mc- Graw Hill, 2013.
S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, 11/e, Sultan Chand & Sons Publications, 2012.
Jay l. Devore, Probability and Statistics for Engineering and the Sciences, 8th Edition,Cengage.
Shron L.Myers, Keying Ye, Ronald E Walpole, Probability and Statistics Engineers and the Scientists,8th Edition, Pearson 2007.
Sheldon, M. Ross, Introduction to probability and statistics Engineers and the Scientists, 4thEdition, Academic Foundation,2011
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