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14th May 2020, 08:16 AM
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Re: Calicut University S3 Civil Question Papers

Can you provide me the syllabus for B Tech (Bachelor of Technology) Civil Engineering 3rd Semester offered by Calicut University on which the question paper is based?
  #3  
14th May 2020, 08:18 AM
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Join Date: Aug 2012
Re: Calicut University S3 Civil Question Papers

The syllabus for B Tech (Bachelor of Technology) Civil Engineering 3rd Semester offered by Calicut University is as follows:

PT EN09 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 wealth 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: Zn, sinz, cosz, sinhz, coshz, (z+1/Z )– Mobius Transformation.


Module II: Functions of a Complex Variable (14 hours)
Definition of Line integral in the complex plane – Cauchy’s integral theorem (Proof of existence of indefinite integral to be omitted) – Independence of path – Cauchy’s integral formula – Derivatives of analytic functions (Proof not required) – Taylor series – Laurent series – Singularities and Zeros – Residues – Residue Integration method – Residues and Residue theorem – Evaluation of real integrals.


Module III: Linear Algebra (13 hours) - Proofs not required
Vector spaces – Definition, Examples – Subspaces – Linear Span – Linear Independence – Linear Dependence – Basis – Dimension – Ordered Basis – Coordinate Vectors – Transition Matrix – Orthogonal and Orthonormal Sets – Orthogonal and Orthonormal Basis – Gram-Schmidt orthogonolisation process – Inner product spaces –Examples.


Module IV: Fourier Transforms (14 hours)
Fourier Integral theorem (Proof not required) – Fourier Sine and Cosine integral representations–
Fourier Transforms – Fourier Sine and Cosine Transforms – Properties of Fourier 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, 6.7, 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 S Kasana, Complex Variables, Theory and Applications, 2e, Prentice Hall of India.
2. John M Howie, Complex Analysis, Springer International Edition.
3. Shahnaz bathul, Text book of Engineering Mathematics, Special functions and Complex Variables, Prentice Hall of India.
4. Gerald Dennis Mahan, Applied mathematics, Springer International Edition.
5. David Towers, Guide to Linear Algebra, MacMillan Mathematical Guides.
6. Howard Anton, Chris Rorres, Elementary Linear Algebra, Applications Version, 9e, John Wiley and Sons.
7. Anthony Croft, Robert Davison, Martin Hargreaves, Engineering Mathematics, 3e, Pearson
Education.
8. H Parthasarathy, Engineering Mathematics, A Project & Problem based approach, Ane Books
India.
9. B V Ramana, Higher Engineering Mathematics, McGrawHill.
10. Sarveswara Rao Koneru, Engineering Mathematics, Universities Press.
11. J K Sharma, Business Mathematics, Theory and Applications, Ane Books India.
12. John bird, Higher Engineering Mathematics, Elsevier, Newnes.
13. M Chandra Mohan, Vargheese Philip, Engineering Mathematics-Vol. I, II, III & IV., Sanguine Technical Publishers.
14. N Bali, M Goyal, C Watkins, Advanced Engineering Mathematics, A Computer Approach, 7e, Infinity Science Press, Fire Wall Media.
15. V R Lakshmy Gorty, Advanced Engineering Mathematics-Vol. I, II., Ane Books India.
16. Sastry S.S., Advanced Engineering Mathematics-Vol. I and II., Prentice Hall of India.
17. Lary C Andrews, Bhimsen K Shivamoggi, Integral Transforms for Engineers, Prentice Hall of India.


Syllabus B Tech Civil Engineering 3rd Semester Calicut University






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