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.
| Subject Category | ABET Learning Objectives | ABET Internal Assessments | JNTUK External Evalution | Remarks |
|---|---|---|---|---|
| Theory Design Analysis Algorithms Drawing Others | a) Apply knowledge of math, science, & engineering | 1. Objective tests | A. Questions should have: | |
| b) Design & conduct experiments, analyze & interpret data | 2. Essay questions tests | B. Definitions, Principle of operation or philosopy of concept. Mathematical | ||
| c) Design a system/process to meet desired needs within economic, social, political, ethical, health/safety, manufacturability, & sustainability constraints | 3. Peer tutoring based | C. treatment, derivations, analysis, synthesis, numerical problems with inference. Design oriented problems | ||
| d) Function on multidisciplinary teams | 4. Simulation based | D. Trouble shooting type of | ||
| e) Identify, formulate, & solve engineering problems | 5. Design oriented | E. Questions Applications related questions | ||
| f) Understand professional & ethical responsibilities | 6. Problems based | F. Brain storming questions | ||
| g) Communicate effectively | 7. Experiential (project based) based | |||
| h) Understand impact of engineering solutions in global, economic, environmental, & societal context | 8. Lab work or field work based | |||
| i) Recognize need for & be able to engage in lifelong learning | 9. Presentation based | |||
| j) Know contemporary issues | 10. Case Studies based | |||
| k)Use techniques, skills, modern tools for engineering practices | 11. Role- Play based | |||
| 12. Portfolio based |
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