JNTUK B.Tech Complex Variable and Statistical Methods R13 Syllabus for Engineering it gives you detail information about Complex Variable and Statistical Methods syllabus.
UNIT-I Functions of a complex variable
Introduction – Continuity – Differentiability – Analyticity – Properties – Cauchy-Riemann equations in Cartesian and polar coordinates. Harmonic and conjugate harmonic functions – Milne – Thompson method.
Subject Category
- ABET Learning Objectives a e
- ABET internal assessments 1 2 6
- JNTUK External Evaluation A B E
UNIT-II Integration and Series Expansions
Complex integration: Line integral – Cauchy’s integral theorem , Cauchy’s integral formula, Generalized integral formula (all without proofs)- Radius of convergence – Expansion in Taylor’s series, Maclaurin’s series and Laurent series.
Subject Category
- ABET Learning Objectives a e k
- ABET internal assessments 1 2 6
- JNTUK External Evaluation A B E
UNIT III Integration using Residues
Types of Singularities: Isolated, pole of order m, essential – Residues –
Residue theorem (without proof) – Evaluation of real integrals of type (a) (b) (c)
Subject Category
- ABET Learning Objectives a e
- ABET internal assessments 1 2 6
- JNTUK External Evaluation A B E
UNIT IV Conformal Mapping
Transformation by exp z, lnz, z^2, z^n(n positive integer), Sin z, cos z, z +
a/z- Translation, rotation, inversion and bilinear transformation – fixed point
– cross ratio – properties – invariance of circles.
Subject Category
- ABET Learning Objectives a e k
- ABET internal assessments 1 2 6
- JNTUK External Evaluation A B E
UNIT V Sampling Distributions:
Review of Normal distribution – Population and samples – Sampling distribution of mean (with known and unknown variance), proportion, variances – Sampling distribution of sums and differences -Point and interval estimators for means, variances, proportions.
Subject Category
- ABET Learning Objectives a e k
- ABET internal assessments 1 2 6
- JNTUK External Evaluation A B E
UNIT VI Tests of Hypothesis
Type I and Type II errors -Maximum error- One tail, two-tail tests – Tests concerning one mean and proportion, two means- Proportions and their differences using Z-test, Student’s t-test – F-test and Chi -square test.
Subject Category
- ABET Learning Objectives a b d e h k
- ABET internal assessments 1 2 6 7 10
- JNTUK External Evaluation A B E F D
Books
- Advanced Engineering Mathematics: Erwin Kreyszig, Wiley India Edition.
- Advanced Engineering Mathematics: Michael Greenberg, Pearson.
- Advanced Engineering Mathematics: BS Grewal , Khanna Publishers (42nd Ed).
- Probability and Statistics for Engineers: Miller and John E. Freund, Prentice Hall of India.
- Probability and Statistics for Engineers and Scientists: Ronald E. Walpole, Sharon L. Mayers and Keying Ye: Pearson.
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