MA3351: Transforms and Partial Differential Equations syllabus for MSE 2021 regulation

Transforms and Partial Differential Equations detailed syllabus for Materials Science & Engineering (MSE) for 2021 regulation curriculum has been taken from the Anna University official website and presented for the MSE students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.

For Materials Science & Engineering 3rd Sem scheme and its subjects, do visit MSE 3rd Sem 2021 regulation scheme. The detailed syllabus of transforms and partial differential equations is as follows.

Course Objectives:

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Unit I

PARTIAL DIFFERENTIAL EQUATIONS Formation of partial differential equations -Solutions of standard types of first order partial differential equations – First order partial differential equations reducible to standard types- Lagranges linear equation – Linear partial differential equations of second and higher order with constant coefficients of both homogeneous and non-homogeneous types.

Unit II

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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 (Cartesian coordinates only).

Unit IV

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Unit V

Z – TRANSFORMS AND DIFFERENCE EQUATIONS 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.

Course Outcomes:

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Text Books:

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.

Reference Books:

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.

For detailed syllabus of all other subjects of Materials Science & Engineering, 2021 regulation curriculum do visit MSE 3rd Sem subject syllabuses for 2021 regulation.

For all Materials Science & Engineering results, visit Anna University MSE all semester results direct link.