Sunday, July 8, 2012

MA 9211 MATHEMATICS III B.E/B.TECH ANNA UNIVERSITY SYLLABUS



  
  MA9211  Anna university syllabus common to all branches B.E/B.TECH


AIM:
To facilitate the understanding of the principles and to cultivate the art of formulating physical problems in the language of mathematics.

OBJECTIVES:
·   To  introduce  Fourier  series  analysis  which  is  central  to  many  applications  in engineering apart from its use in solving boundary value problems
·   To acquaint the student with Fourier transform techniques used in wide variety of situations in which the functions used are not periodic
·   To introduce the effective mathematical tools for the solutions of partial differential equations that model physical processes
·   To develop Z- transform techniques which will perform the same task for discrete time systems as Laplace Transform, a valuable aid in analysis of continuous time systems


UNIT I           FOURIER SERIES                                                                                  9+3
Dirichlets conditions General Fourier series Odd and even functions Half-range Sine  and  Cosine  series   Compleform  of  Fourier  series   Parseval’s  identity  Harmonic Analysis.

UNIT II         FOURIER TRANSFORM                                                                          9+3
Fourier integral theorem – Fourier transform pair-Sine and Cosine transforms Properties Transform of elementary functions Convolution theorem – Parseval’s identity.

UNIT III         PARTIAL DIFFERENTIAL EQUATIONS                                                9+3
Formation Solutions of first order equations Standard types and Equations reducible to standard types Singular solutions Lagranges Linear equation Integral surface passing  through  a  given  curve   Solution  of  linear  equationof  higher  order  with constant coefficients.

UNIT IV         APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS             9+3
Method of separation of Variables Solutions of one dimensional wave equation and one-dimensional heat equation Steady state solution of two-dimensional heat equation
Fourier series solutions in Cartesian coordinates.

UNIT V          Z TRANSFORM AND DIFFERENCE EQUATIONS                           9+3
Z-transform Elementary properties Inverse Z-transform Convolution theorem Initial and Final value theorems – Formation of difference equation Solution of difference equation using Z-transform.


TEXT BOOK:

L: 45, T: 15, TOTAL = 60 PERIODS

1. Grewal, B.S. “Higher Engineering Mathematics, Khanna Publications (2007)


REFERENCES:
1.  Glyn  James,  Advanced  Modern  Engineering  Mathematics,  Pearson  Education
(2007)
2. Ramana B.V., “Higher Engineering Mathematics” Tata McGraw Hill (2007).
3. Bali N.P. and Manish Goyal, A Text Book of Engineering 7th Edition (2007) Lakshmi
Publications (P) Limited, New Delhi.



7/08/2012 12:05:00 AM

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