JNTUK R20 B Tech EEE 2-1 Mathematics-4 Material/ Notes PDF Download

JNTUK R20 B Tech EEE R20 2-1 Mathematics-4 Material/ Notes PDF Download: For JNTUK R20 B Tech EEE 2-1 Mathematics-4 Material, including EEE, comprehensive notes and study materials are available to aid students in understanding complex variables and foundational concepts of probability and statistical methods. These materials are designed to equip students with the skills needed to solve application problems relevant to their respective disciplines. To access these resources, students can easily download the PDF version of the JNTUK R20 B Tech EEE 2-1 Mathematics-4 Material, providing them with valuable insights and guidance for their academic pursuits.

JNTUK R20 B Tech EEE 2-1 Mathematics-4 Material – Units

Unit 1 Syllabus PDF Download | JNTUK R20 B Tech EEE 2-1 Mathematics-4 Material

Functions of a complex variable and Complex integration: Introduction – Continuity – Differentiability – Analyticity – Properties – 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).

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Unit 2 Syllabus PDF Download | JNTUK R20 B Tech EEE 2-1 Mathematics-4 Material

Series expansions and Residue Theorem: Radius of convergence – Expansion in Taylor’s series, Maclaurin’s series, 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 R20 B Tech EEE 2-1 Mathematics-4 Material

Probability and Distributions: Review of probability and Baye’s theorem – Random variables – Discrete and Continuous random variables – Distribution function – Mathematical Expectation and Variance – Binomial, Poisson, Uniform and Normal distributions.

Unit 4 Syllabus PDF Download | JNTUK R20 B Tech EEE 2-1 Mathematics-4 Material

Sampling Theory: Introduction – Population and samples – Sampling distribution of Means and Variance (definition only) – Central limit theorem (without proof) – Introduction to t, 2  and F-distributions – Point and Interval estimations – Maximum error of the estimate.

Unit 5 Syllabus PDF Download | JNTUK R20 B Tech EEE 2-1 Mathematics-4 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.

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JNTUK R20 B Tech EEE 2-1 M4 Notes – Outcomes

• Utilize Cauchy-Riemann equations to ascertain the analyticity of continuous functions (Level 3).
• Determine differentiation and integration methods for complex functions relevant to engineering applications (Level 5).
• Employ the Cauchy residue theorem to assess specific integrals (Level 3).
• Apply discrete and continuous probability distributions (Level 3).
• Develop classical hypothesis tests for component design (Level 6).
• Apply statistical inferential methods, including small and large sampling tests (Level 4).