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Syllabus for B.Tech( Electronics & Communication ...

Residue, Cauchy’s Residue theorem (statement only), problems on finding the residue of a given function, evaluation of definite integrals: 2 0 0 sin ( ), , cos sin ( ) C x d P z dx dz x a b c Q z π θ θ θ ∞ ∫ ∫ ∫+ + (elementary cases, P(z) & Q(z) are polynomials of 2 nd order or less

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Ethics of Profession: Engineering profession: Ethical issues in Engineering practice, Conflicts between business demands and professional ideals. Social and ethical responsibilities of Technologists. Codes of professional ethics. Whistle blowing and beyond, Case studies. Profession and Human Values: Values Crisis in contemporary society

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personalpages.manchester.ac.uk

One of the highlights towards the end of the course is Cauchy’s Residue Theorem. This theorem gives a new method for calculating real integrals that would be difficult or impossible just using techniques that you know from real analysis. For example, let 0 <a<band consider Z ∞ −∞ xsinx (x2 +a2)(x2 +b2) dx. (1.1.1)

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2.2 Taylor’s and Laurent’s series (without proof). 2.3 Definition of Singularity, Zeroes, poles off(z), Residues, Cauchy’s Residue Theorem (without proof) 2.4 Self-learning Topics: Application of Residue Theorem to evaluate real integrations. 3 Z Transform 5 3.1 Definition and Region of Convergence, Transform of Standard

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