## Thursday, July 19, 2012

### MA3202 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATION SYLLABUS | ANNA UNIVERSITY BE MECHANICAL AND AUTOMATION ENGINEERING 3RD SEMESTER SYLLABUS REGULATION 2008 2011-2012

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MA3202 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATION SYLLABUS | ANNA UNIVERSITY BE MECHANICAL AND AUTOMATION ENGINEERING 3RD SEMESTER SYLLABUS REGULATION 2008 2011-2012 BELOW IS THE ANNA UNIVERSITY THIRD SEMESTER BE MECHANICAL AND AUTOMATION ENGINEERING DEPARTMENT SYLLABUS IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011-2012 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009

MA3202 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATION L T P C
3 1 0 4
(Common to all branches)
OBJECTIVES
The course objective is to develop the skills of the students in the areas of Transforms
and Partial Differential 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 + 3
Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series –
Half range cosine series – Complex form of Fourier series – Parseval’s identity – Harmonic analysis.
UNIT II FOURIER TRANSFORMS 9 + 3
Fourier integral theorem (without proof) – Fourier transform pair – Sine and Cosine transforms –
Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.
UNIT III PARTIAL DIFFERENTIAL EQUATIONS 9 +3
Formation of partial differential equations – Lagrange’s linear equation – Solutions 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 + 3
Solutions of one dimensional wave equation – One dimensional equation of heat conduction –
Steady state solution of two-dimensional equation of heat conduction (Insulated edges excluded) –
Fourier series solutions in Cartesian coordinates.
UNIT V Z -TRANSFORMS AND DIFFERENCE EQUATIONS 9 + 3
Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem - Formation of
difference equations – Solution of difference equations using Z-transform.
LECTURES : 45 TUTORIALS : 15 TOTAL : 60 PERIODS
TEXT BOOKS:
1. Grewal, B.S, ‘Higher Engineering Mathematics’ 40th Edition, Khanna publishers,
Delhi, (2007)
21
REFERENCES:
1. Bali.N.P and Manish Goyal ‘A Textbook of Engineering Mathematics’, Seventh
Edition, Laxmi Publications(P) Ltd. (2007)
2. Ramana.B.V. ‘Higher Engineering Mathematics’ Tata Mc-GrawHill Publishing
Company limited, New Delhi (2007).
3. Glyn James, ‘Advanced Modern Engineering Mathematics’, Third edition-Pearson
Education (2007).
4. Erwin Kreyszig ’Advanced Engineering Mathematics’, Eighth edition-Wiley India
(2007).