MA3353: Transforms and Differential Equations syllabus for ICE 2021 regulation

Transforms and Differential Equations detailed syllabus for Instrumentation & Control Engineering (ICE) for 2021 regulation curriculum has been taken from the Anna University official website and presented for the ICE 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 Instrumentation & Control Engineering 3rd Sem scheme and its subjects, do visit ICE 3rd Sem 2021 regulation scheme. The detailed syllabus of transforms and differential equations is as follows.

Course Objectives:

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Unit I

ORDINARY DIFFERENTIAL EQUATIONS Higher order linear differential equations with constant coefficients – Method of variation of parameters – Homogenous equation of Eulers and Legendres type – System of simultaneous linear first order differential equations with constant coefficients – Method of undetermined coefficients.

Unit II

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Unit III

FOURIER SERIES Dirichlets conditions – General Fourier series – Odd and even functions – Half range sine series and cosine series – Root mean square values – Parsevals identity -Harmonic analysis.

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., ManicavachagomPillay.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 Instrumentation & Control Engineering, 2021 regulation curriculum do visit ICE 3rd Sem subject syllabuses for 2021 regulation.

For all Instrumentation & Control Engineering results, visit Anna University ICE all semester results direct link.