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YMA011 APPLIED MATHEMATICS III SYLLABUS | ANNA UNIVERSITY BCA 3RD SEM SYLLABUS REGULATION 2010 2011 2012-2013

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YMA011 APPLIED MATHEMATICS III SYLLABUS | ANNA UNIVERSITY BCA 3RD SEM SYLLABUS REGULATION 2010 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY THIRD SEMESTER B.C.A. (BACHELOR OF COMPUTER APPLICATIONS) DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2010 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2010

YMA011 APPLIED MATHEMATICS III L T P C
3 1 0 4
UNIT I PARTIAL DIFFERENTIAL EQUATIONS 9 + 3
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 + 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 identify – Harmonic
Analysis.
UNIT III BOUNDARY VALUE PROBLEMS 9 + 3
Classification of second order quasi linear partial differential equations – Solutions of one
dimensional wave equation – One dimensional heat equation – Steady state solution of twodimensional
heat equation (Insulated edges excluded) – Fourier series solutions in Cartesian
coordinates.
UNIT IV FOURIER TRANSFORM 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 V Z -TRANSFORM AND DIFFERENCE EQUATIONS 9 + 3
Z-transform - Elementary properties – Inverse Z – transform – Convolution theorem -Formation
of difference equations – Solution of difference equations using Z - transform.
Lecture: 45 Tutorials: 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. Wylie C. Ray and Barrett Louis, C., “Advanced Engineering Mathematics”, Sixth Edition,
McGraw-Hill, Inc., New York, 1995.
4. Narayanan, S., Manicavachagom Pillay, T.K. and Ramaniah, G., “Advanced Mathematics
for Engineering Students”, Volumes II and III, S. Viswanathan (Printers and Publishers)
Pvt. Ltd. Chennai, 2002.

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