MA 9211 MATHEMATICS III Syllabus

ANNA UNIVERSITY CHENNAI :: CHENNAI 600 025
REGULATIONS – 2008 CURRICULUM FROM III SEMESTERS FOR
B.E. ELECTRICAL AND ELECTRONICS ENGINEERING
MA 9211 MATHEMATICS III

UNIT I - FOURIER SERIES 9

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half-range
Sine and Cosine series – Complex form of Fourier Series – Parseval’s identity –
Harmonic Analysis.


UNIT II - PARTIAL DIFFERENTIAL EQUATIONS 9

Formation – Solutions of first order equations – Sandard types and Equations
reducible to standard types – Singular solutions - Lagrange’s Linear equation –
Integral surface passing through a given curve – Solution of linear equations of
higher order with constant coefficients.

UNIT III - APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 9

Method of separation of Variables – Solutions of one dimensional wave equation, -
One-dimensional heat equation – Steady state solution of two-dimensional heat
equation – Fourier series solutions in Cartesian coordinates.

UNIT IV - FOURIER TRANSFORM 9

Fourier integral theorem – Fourier transform pair-Sine and Consine transforms –
Properties – Transform of simple function – Convolution theorem - Parseval’s
identity.

UNIT V - Z – TRANSFORM AND DIFFERENCE EQUATION 9

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

Lecture – 45 Tutorial – 15 Total : 60 PERIODS

TEXT BOOK:

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


REFERENCES:

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