Sunday, 23 June 2013

MA2211 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS SYLLABI



ANNA UNIVERSITY, CHENNAI

AFFILIATED INSTITUTIONS

R - 2008

B.E. ELECTRICAL AND ELECTRONICS ENGINEERING

MA2211       TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS              L T P C
                                                                                                                                                 3 1 0 4

UNIT I               FOURIER SERIES     9

Dirichlets conditions General Fourier series – Odd and even functions Half range sine series – Half range cosine series Complex form of Fourier Series Parseval’s identify Harmonic Analysis.

UNIT II            FOURIER TRANSFORM    9

Fourier     integral     theorem     (without     proof)     –     Fourier     transform     pair     –     Sine     and Cosine transforms Properties Transforms of simple functions Convolution theorem – Parsevals identity.

UNIT III           PARTIAL DIFFERENTIAL EQUATIONS    9

Formation of partial differential equations  - Lagranges linear equation - Solution of standard types of first order partial differential equations  Linear partial differential equations of second and higher order with constant coefficients.

UNIT IV           APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS    9

Solutions of one dimensional wave equation One dimensional equation of heat conduction Steady state solution of two-dimensional equation of  heat equation (Insulated edges excluded)  – Fourier series solutions in cartesian coordinates.

UNIT V            Z -TRANSFORM AND DIFFERENCE EQUATIONS   9

Z-transform - Elementary properties Inverse Z – transform Convolution theorem -Formation of difference equations Solution of difference equations using Z - transform.

TUTORIALS = 15 TOTAL = 60 PERIODS

TEXTBOOKS

1.      Grewal B.S, ‘Higher Engineering Mathematics’, 39th   Edition, Khanna Publishers, Delhi, 2007.

REFERENCE:

1.      Bali.N.P. And Manish Goyal ‘A Textbook Of Engineering Mathematics’, Seventh Edition, Laxmi Publications (P) Ltd.
2.      Ramana.B.V. ‘Higher Engineering Mathematics’ Tata Mc-Grawhill Publishing Company Limited, New Delhi.
3.      Glyn James  Advanced Modern Engineering Mathematics’, Third Edition  Pearson
4.      Education  2007.

5.      Erwin Kreyszig  Advanced Engineering Mathematics’ Eighth Edition  Wiley India  2007


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