MA3201 MATHEMATICS III SYLLABUS | ANNA UNIVERSITY BE ENVIRONMENTAL ENGINEERING 3RD SEMESTER SYLLABUS REGULATION 2008 2011-2012

Latest: TNEA 2014 Engineering Application Status, Counselling Date, Rank List

MA3201 MATHEMATICS III SYLLABUS | ANNA UNIVERSITY BE ENVIRONMENTAL ENGINEERING 3RD SEMESTER SYLLABUS REGULATION 2008 2011-2012 BELOW IS THE ANNA UNIVERSITY THIRD SEMESTER BE ENVIRONMENTAL 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

MA3201 MATHEMATICS III LT P C
(Common to all branches of B.E. / B.Tech Programmes) 3 1 0 4
AIM:
To facilitate the understanding of the principles and to cultivate the art of formulating
physical problems in the language of mathematics.
OBJECTIVES:
 To introduce Fourier series analysis which is central to many applications
inengineering apart from its use in solving boundary value problems
 To acquaint the student with Fourier transform techniques used in wide variety of
situations in which the functions used are not periodic
 To introduce the effective mathematical tools for the solutions of partial differential
equations that model physical processes
 To develop Z- transform techniques which will perform the same task for discrete
time systems as Laplace Transform, a valuable aid in analysis of continuous time
systems
UNIT I FOURIER SERIES 9+3
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 FOURIER TRANSFORM 9+3
Fourier integral theorem – Fourier transform pair-Sine and Cosine transforms Properties
– Transform of elementary functions – Convolution theorem – Parseval’s identity.
UNIT III PARTIAL DIFFERENTIAL EQUATIONS 9+3
Formation – Solutions of first order equations – Standard 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 IV APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 9+3
Method of separation of Variables – Solutions of one dimensional wave equation and
one-dimensional heat equation – Steady state solution of two-dimensional heat equation
– Fourier series solutions in Cartesian coordinates.
UNIT V Z – TRANSFORM AND DIFFERENCE EQUATIONS 9+3
Z-transform – Elementary properties – Inverse Z-transform – Convolution theorem –
Initial and Final value theorems – Formation of difference equation – Solution of
difference equation using Z-transform.
L: 45, T: 15, TOTAL : 60 PERIODS
TEXT BOOK
1. Grewal, B.S. “Higher Engineering Mathematics”, Khanna Publications (2007)
24
REFERENCES
1. Glyn James, “Advanced Modern Engineering Mathematics, Pearson Education
(2007)
2. Ramana, B.V. “Higher Engineering Mathematics” Tata McGraw Hill (2007).
3. Bali, N.P. and Manish Goyal, “A Text Book of Engineering 7th Edition (2007)
Lakshmi Publications (P) Limited, New Delhi.