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  • Saturday, 14 July 2012

    Transforms and Partial differential Equations Syllabus(Maths III)



    For Further Reading,
    Anna university third semester syllabus, engineering, Third Semester syllabus









    MA2211 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS                                                                                         L T P C
    (Common to all branches)                                                                                  3 1 0 4


    OBJECTIVE:
            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 
    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
    identify – Harmonic Analysis.


    UNIT II FOURIER TRANSFORMS 9 
    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 
    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 
    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 
    Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem -
    Formation of difference equations – Solution of difference equations using Z-transform.


    TEXT BOOKS:


    1. Grewal, B.S, ‘Higher Engineering Mathematics’ 40th Edition, Khanna publishers, Delhi,
    (2007)


    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).


    For Further Reading,
    Anna university third semester syllabus, engineering, Third Semester syllabus

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