MA3351 Transforms and Partial Differential Equations
Anna University – MA3351 Transforms and Partial Differential Equations Regulation 2021 Syllabus , Notes , Important Questions, Question Paper with Answers Previous Year Question Paper.
UNIT I PARTIAL DIFFERENTIAL EQUATIONS MA3351 Transforms and Partial Differential Equations Syllabus
Formation of partial differential equations –Solutions of standard types of first order partial differential equations – First order partial differential equations reducible to standard types- Lagrange’s linear equation – Linear partial differential equations of second and higher order with constant coefficients of both homogeneous and non-homogeneous types.
UNIT II FOURIER SERIES MA3351 Transforms and Partial Differential Equations Notes
Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series and cosine series – Root mean square value – Parseval’s identity – Harmonic analysis.
UNIT III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS MA3351 Transforms and Partial Differential Equations Important Questions
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 (Cartesian coordinates only).
UNIT IV FOURIER TRANSFORMS MA3351 Transforms and Partial Differential Equations Question Paper
Statement of Fourier integral theorem– Fourier transform pair – Fourier sine and cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.
UNIT V Z – TRANSFORMS AND DIFFERENCE EQUATIONS MA3351 Transforms and Partial Differential Equations Question Bank
Z-transforms – Elementary properties – Convergence of Z-transforms – – Initial and final value theorems – Inverse Z-transform using partial fraction and convolution theorem – Formation of difference equations – Solution of difference equations using Z – transforms.
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TEXT BOOKS For MA3351 Transforms and Partial Differential Equations PDF
1. Grewal B.S.,“Higher Engineering Mathematics” 44thEdition, Khanna Publishers,New Delhi, 2018.
2. Kreyszig E, “Advanced Engineering Mathematics “, 10th Edition, John Wiley, New Delhi, India,
2016.
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”, 10th Edition, Laxmi
Publications Pvt. Ltd, 2015.
3. James. G., “Advanced Modern Engineering Mathematics”, 4thEdition, Pearson Education, New
Delhi, 2016.
4. Narayanan. S., Manicavachagom Pillay.T.K and Ramanaiah.G “Advanced Mathematics for
Engineering Students”, Vol. II & III, S.Viswanathan Publishers Pvt. Ltd, Chennai, 1998.
5. Ramana. B.V., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd,
New Delhi, 2018.
6. Wylie. R.C. and Barrett . L.C., “Advanced Engineering Mathematics “Tata McGraw Hill Education
Pvt. Ltd, 6th Edition, New Delhi, 2012.
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