JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material/ Notes PDF Download

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JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material/ Notes PDF Download: Our JNTUK R19 B.Tech 2-1 CVSM material is structured to facilitate a deep understanding of complex variables and statistical methods. Through clear explanations and illustrative examples, students are guided through evaluating integrals in complex domains, expanding functions as series, identifying poles and residues, and applying the residue theorem effectively. Additionally, our material emphasizes the importance of probability and statistical methods, equipping students with the skills to tackle real-world application problems in their respective disciplines. Download the JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material from the given below links.

JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material – Units

Unit 1 Syllabus PDF Download | JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material

Functions of a complex variable and Complex integration: Introduction – Continuity – Differentiability – Analyticity –Cauchy-Riemann equations in Cartesian and polar coordinates – Harmonic and 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.

Unit 2 Syllabus PDF Download | JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material

Series expansions and Residue Theorem: Radius of convergence – Expansion in Taylor’s, Maclaurin, and Laurent series. Types of Singularities: Isolated – pole of order m – Essential – Residues – Residue theorem ( without proof) – Evaluation of real integral of the type f x dx

Unit 3 Syllabus PDF Download | JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material

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.

Unit 4 Syllabus PDF Download | JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material

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, 2  and F-distributions – Point and Interval estimations – Maximum error of estimate.

Unit 5 Syllabus PDF Download | JNTUK R19 B.Tech Civil 2-1 Complex Variables and Statistical Methods Material

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.

JNTUK R19 B.Tech 2-1 CVSM Notes – Outcomes:

• Application of Cauchy-Riemann Equations.
• Differentiation and Integration.
• Cauchy Residue Theorem.
• Probability Distributions.
• Classical Hypothesis Test Design.
• Statistical Inference.

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