MA8353 – Transforms And Partial Differential Equations Syllabus Regulation 2017

Code – MA8353, this article about B.E/B.Tech./B.Arch Mechanical Engineering Semester III Transforms And Partial Differential Equations syllabus. Students are requested to make notes or PDFs of the semester in Transforms And Partial Differential Equations for effective preparation from here. It will help you to understand what are the topics in the syllabus of Transforms And Partial Differential Equations. And to make preparation strategies to score well in the examinations. Unit-wise detailed syllabus is given below in one place, in the following article MA8353 – Transforms And Partial Differential Equations. If the information helps you, kindly share it with your classmates.

Aim Of Concept:

• To introduce the basic concepts of PDE for solving standard partial differential equations.
• To introduce Fourier series analysis which is central to many applications in engineering apart from its use in solving boundary value problems.
• To acquaint the student with Fourier series techniques in solving heat flow problems used in various situations.
• To acquaint the student with Fourier transform techniques used in wide variety of situations.
• To introduce the effective mathematical tools for the solutions of partial differential equations that model several physical processes and to develop Z transform techniques for discrete-time systems.

MA8353 – Transforms And Partial Differential Equations Syllabus

Unit I: Partial Differential Equations

Formation of partial differential equations – Singular integrals – Solutions 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 of both homogeneous and non-homogeneous types.

Unit II: Fourier Series

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 – Harmonic analysis.

Unit III: Applications Of Partial Differential Equations

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

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

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.

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.

References :

1. B.V Ramana.., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd, New Delhi, 2016.
2. Erwin Kreyszig, “Advanced Engineering Mathematics “, 10th Edition, John Wiley, India, 2016.
3. G. James, “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson Education, 2007.
4. L.C Andrews, L.C and Shivamoggi, B, “Integral Transforms for Engineers” SPIE Press, 1999.
5. N.P. Bali. and Manish Goyal, “A Textbook of Engineering Mathematics”, 9th Edition, Laxmi Publications Pvt. Ltd, 2014.
6. R.C. Wylie, and Barrett, L.C., “Advanced Engineering Mathematics “Tata McGraw Hill Education Pvt. Ltd, 6th Edition, New Delhi, 2012.

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