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  #2  
October 12th, 2019, 08:38 AM
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Re: University of Calicut Question Papers in B Tech

Can you provide me the syllabus of B. Tech. Civil Engineering - 3rd Semester EN 14 301: Engineering Mathematics III - offered by University of Calicut on which the question paper is based?
  #3  
October 12th, 2019, 08:39 AM
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Re: University of Calicut Question Papers in B Tech

The syllabus of B. Tech. Civil Engineering - 3rd Semester EN 14 301: Engineering Mathematics III - offered by University of Calicut on which the question paper is based is as follows:

3rd Semester EN 14 301: Engineering Mathematics III

(Common for all branches)


Objective
This course provides a quick overview of the concepts and results in complex analysis that may be useful in engineering. Also it gives an introduction to linear algebra and Fourier transform which are wealths of ideas and results with wide area of application.


Module I: Functions of a Complex Variable (13 hours)
Functions of a Complex Variable Limit Continuity Derivative of a Complex function Analytic functions Cauchy-Riemann Equations Laplace equation Harmonic Functions Conformal Mapping Examples: eZ, sinz, coshz, (z+1/Z ) Mobius Transformation.


Module II: Functions of a Complex Variable (13 hours)
Definition of Line integral in the complex plane Cauchys integral theorem (Proof of existence of indefinite integral to be omitted) Independence of path Cauchys integral formula Derivatives of analytic functions (Proof not required) Taylor series (No proof) Laurent series (No proof) Singularities - Zeros Poles - Residues Evaluation of residues Cauchys residue theorem Evaluation of real definite integrals.


Module III: Linear Algebra (13 hours) (Proofs not required)
Vector spaces Definition, Examples Subspaces Linear Span Linear Independence Linear Dependence Basis Dimension Orthogonal and Orthonormal Sets Orthogonal Basis Orthonormal Basis Gram-Schmidt orthogonalisation process Inner product spaces Definition Examples Inequalities ; Schwartz, Triangle (No proof).


Module IV: Fourier Transforms (13 hours)
Fourier Integral theorem (Proof not required) Fourier Sine and Cosine integral representations Fourier transforms transforms of some elementary functions Elementary properties of Fourier transforms Convolution theorem (No proof) Fourier Sine and Cosine transforms transforms of some elementary functions Properties of Fourier Sine and Cosine transforms.


Text Books

Module I:

Erwin Kreysig, Advanced Engineering Mathematics, 8e, John Wiley and Sons, Inc.
Sections: 12.3, 12.4, 12.5, 12.6, 12.7, 12.9
Module II:
Erwin Kreysig, Advanced Engineering Mathematics, 8e, John Wiley and Sons, Inc.
Sections: 13.1, 13.2, 13.3, 13.4, 14.4, 15.1, 15.2, 15.3, 15.4
Module III:
Bernaed Kolman, David R Hill, Introductory Linear Algebra, An Applied First Course, Pearson
Education.
Sections: 6.1, 6.2, 6.3, 6.4, 6.8, Appendix.B.1
Module IV:
Wylie C.R and L.C. Barrett, Advanced Engineering Mathematics, McGraw Hill.
Sections: 9.1, 9.3, 9.5

Reference books

1. H Parthasarathy, Engineering Mathematics, A Project & Problem based approach, Ane Books India.
2. B V Ramana, Higher Engineering Mathematics, McGrawHill.
3. Sarveswara Rao Koneru, Engineering Mathematics, Universities Press.
4. J K Sharma, Business Mathematics, Theory and Applications, Ane Books India.
5. John bird, Higher Engineering Mathematics, Elsevier, Newnes.
6. M Chandra Mohan, Vargheese Philip, Engineering Mathematics-Vol. I, II, III & IV., Sanguine Technical
Publishers.
7. Abhimanyu Singh, Applied Mathematics I, Ane Books India.
8. V R Lakshmy Gorty, Advanced Engineering Mathematics-Vol. I, II., Ane Books India.
9. Sastry S.S., Advanced Engineering Mathematics-Vol. I and II., Prentice Hall of India.
10. Lary C Andrews, Bhimsen K Shivamoggi, Integral Transforms for Engineers, Prentice Hall of India.
11. K B Datta, Matrix and Linear Algebra, 2e, Prentice Hall of India.


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