All Materials regarding to B.tech R-20 in Mechanical Engineering in 2nd Year 2nd Semester with unit wise for Every Subjects are available.
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| Mech 2-2 CVSM | ||
|---|---|---|
| S.No | Chapters / Units | Download Link |
| 1 | Unit 1 | Download |
| 2 | Unit 2 | Download |
| 3 | Unit 3 | Download |
| 4 | Unit 4 | Download |
| 5 | Unit 5 | Download |
Mechanical 2-2 CVSM Important Topics Questions
UNIT – I:
Functions of a complex variable and Complex integration: (10 hrs)
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.
UNIT – II:
Series expansions and Residue Theorem: (10 hrs)
Radius of convergence – Expansion in Taylor’s series, Maclaurin’s series and Laurent series.
Types of Singularities: Isolated – Essential –Pole of order m– Residues – Residue theorem
(without proof) – Evaluation of real integral of the types f
f (x)dx and 2S
c f (cos ,
sin )d .
UNIT – III:
Probability and Distributions: (10 hrs)
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 – IV:
Sampling Theory: (8 hrs)
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.
2 and F-distributions – Point and Interval estimations – Maximum error of
UNIT – V:
Tests of Hypothesis: (10 hrs)
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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