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Apr 11, 2012

MA2211 Transforms and Partial Differential Equations - SUBJECT CATALOG

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SYLLABUS:


MA2211
TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS
L T  P C

(Common to all branches)
 1  0 4


OBJECTIVES
The course objective is to develop the skills of the students in the areas of Transforms and Partial Differtial Equations. This will be necessary for their effective studies in a large number of engineering subjects like heat conduction, communication systems, electro-optics and electromagnetic theory. The course will also serve as a prerequisite for post graduate and specialized studies and research.

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
education 2007.
4.  ERWIN KREYSZIG ADVANCED ENGINEERING MATHEMATICS Eighth Edition WILEY INDIA 2007.

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