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.
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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