UNIT I PARTIAL DIFFERENTIAL EQUATIONS ` 12
Formation of partial differential equations – Singular integrals –
Solutions of standard types of first order partial differential equations – Lagrange’s
linear equation – Linear partial differentialequations of second and higher
order with constant coefficients of both homogeneous and nonhomogeneoustypes.
UNIT II FOURIER SERIES 12
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 identity – Harmonicanalysis.
UNIT III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 12
Classification of PDE – Method of separation of variables – Fourier
Series Solutions of one dimensional wave equation – One dimensional equation of
heat conduction – Steady state solution of two dimensional equation of heat
conduction.
UNIT IV FOURIER TRANSFORMS 12
Statement of Fourier integral theorem – Fourier transform pair – Fourier
sine and
cosine transforms – Properties – Transforms of simple functions – Convolution theorem –Parseval’s identity.
cosine transforms – Properties – Transforms of simple functions – Convolution theorem –Parseval’s identity.
UNIT V Z – TRANSFORMS AND DIFFERENCE EQUATIONS 12
Z-transforms – Elementary properties – Inverse Z-transform (using
partial fraction and residues) –Initial and final value theorems – Convolution
theorem – Formation of difference equations –Solution of difference equations
using Z – transform.
TOTAL: 60 PERIODS
TEXT BOOKS:
1. Grewal B.S., “Higher Engineering Mathematics”, 43rd Edition, Khanna
Publishers, New
Delhi, 2014.
2. Narayanan S., Manicavachagom Pillay.T.K and Ramanaiah.G “Advanced Mathematics for
Engineering Students”, Vol. II & III, S.Viswanathan Publishers Pvt. Ltd, Chennai, 1998.
Delhi, 2014.
2. Narayanan S., Manicavachagom Pillay.T.K and Ramanaiah.G “Advanced Mathematics for
Engineering Students”, Vol. II & III, S.Viswanathan Publishers Pvt. Ltd, Chennai, 1998.
REFERENCES :
1. Andrews, L.C and Shivamoggi, B, “Integral Transforms for Engineers”
SPIE Press, 1999.
2. Bali. N.P and Manish Goyal, “A Textbook of Engineering Mathematics”, 9th Edition, LaxmiPublications Pvt. Ltd, 2014.
3. Erwin Kreyszig, “Advanced Engineering Mathematics “, 10th Edition, John Wiley, India,2016.
4. James, G., “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson Education,2007.
5. Ramana. B.V., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd, NewDelhi, 2016.
6. Wylie, R.C. and Barrett, L.C., “Advanced Engineering Mathematics “Tata McGraw HillEducation Pvt. Ltd, 6th Edition, New Delhi, 2012.
Need syllabus for MBA : click here
2. Bali. N.P and Manish Goyal, “A Textbook of Engineering Mathematics”, 9th Edition, LaxmiPublications Pvt. Ltd, 2014.
3. Erwin Kreyszig, “Advanced Engineering Mathematics “, 10th Edition, John Wiley, India,2016.
4. James, G., “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson Education,2007.
5. Ramana. B.V., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd, NewDelhi, 2016.
6. Wylie, R.C. and Barrett, L.C., “Advanced Engineering Mathematics “Tata McGraw HillEducation Pvt. Ltd, 6th Edition, New Delhi, 2012.
Need syllabus for MBA : click here
