MA3203 ENGINEERING MATHEMATICS-III SYLLABUS | ANNA UNIVERSITY BE MEDICAL ELECTRONICS ENGINEERING 3RD SEMESTER SYLLABUS REGULATION 2008 2011-2012 BELOW IS THE ANNA UNIVERSITY THIRD SEMESTER BE MEDICAL ELECTRONICS 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
MA3203 ENGINEERING MATHEMATICS-III L T P C
3 1 0 4
UNIT I PARTIAL DIFFERENTIAL EQUATIONS 9
Formation of partial differential equations by elimination of arbitrary constants and
arbitrary functions – Solution of standard types of first order partial differential equations
– Lagrange’s linear equation – Linear partial differential equations of second and higher
order with constant coefficients.
UNIT II 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 III BOUNDARY VALUE PROBLEMS 9
Classification of second order quasi linear partial differential equations – Solutions of
one dimensional wave equation – One dimensional heat equation – Steady state
solution of two-dimensional heat equation (Insulated edges excluded) – Fourier series
solutions in Cartesian coordinates.
UNIT IV FOURIER TRANSFORM 9
Fourier integral theorem (without proof) – Fourier transform pair – Sine and
Cosine transforms – Properties – Transforms of simple functions – Convolution theorem
– Parseval’s identity.
UNIT V Z TRANSFORMS 9
Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem -
Formation of difference equations – Solution of difference equations using Z-transform.
TUTORIAL 15 TOTAL : 60 PERIODS
REFERENCES :
1. Grewal, B.S., “Higher Engineering Mathematics”, Thirty Sixth Edition , Khanna
Publishers, Delhi, 2001.
2. Kandasamy, P., Thilagavathy, K., and Gunavathy, K., “Engineering Mathematics
Volume III”, S. Chand & Company ltd., New Delhi, 1996.
3. Kenneth, Hoffman and Ray.Kunz, Linear Algebra,” 2nd Edition, Prentice Hall
India,2000.
4. Wylie C. Ray and Barrett Louis, C., “Advanced Engineering Mathematics”, Sixth
Edition, McGraw-Hill, Inc., New York, 1995.
5. Andrews, L.A., and Shivamoggi B.K., “Integral Transforms for Engineers and Applied
Mathematicians,” Macmillen, New York, 1988.
MA3203 ENGINEERING MATHEMATICS-III L T P C
3 1 0 4
UNIT I PARTIAL DIFFERENTIAL EQUATIONS 9
Formation of partial differential equations by elimination of arbitrary constants and
arbitrary functions – Solution of standard types of first order partial differential equations
– Lagrange’s linear equation – Linear partial differential equations of second and higher
order with constant coefficients.
UNIT II 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 III BOUNDARY VALUE PROBLEMS 9
Classification of second order quasi linear partial differential equations – Solutions of
one dimensional wave equation – One dimensional heat equation – Steady state
solution of two-dimensional heat equation (Insulated edges excluded) – Fourier series
solutions in Cartesian coordinates.
UNIT IV FOURIER TRANSFORM 9
Fourier integral theorem (without proof) – Fourier transform pair – Sine and
Cosine transforms – Properties – Transforms of simple functions – Convolution theorem
– Parseval’s identity.
UNIT V Z TRANSFORMS 9
Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem -
Formation of difference equations – Solution of difference equations using Z-transform.
TUTORIAL 15 TOTAL : 60 PERIODS
REFERENCES :
1. Grewal, B.S., “Higher Engineering Mathematics”, Thirty Sixth Edition , Khanna
Publishers, Delhi, 2001.
2. Kandasamy, P., Thilagavathy, K., and Gunavathy, K., “Engineering Mathematics
Volume III”, S. Chand & Company ltd., New Delhi, 1996.
3. Kenneth, Hoffman and Ray.Kunz, Linear Algebra,” 2nd Edition, Prentice Hall
India,2000.
4. Wylie C. Ray and Barrett Louis, C., “Advanced Engineering Mathematics”, Sixth
Edition, McGraw-Hill, Inc., New York, 1995.
5. Andrews, L.A., and Shivamoggi B.K., “Integral Transforms for Engineers and Applied
Mathematicians,” Macmillen, New York, 1988.
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