Regulation 2021 Anna University Code – MA3451 deals with the semester – IV Transform Techniques Syllabus of B.Tech Chemical Engineering. Most of the semester syllabus tries to give both practical and theoretical knowledge to the students. To acquire the proper knowledge regarding the studies to prepare for the examination, need a detailed syllabus right?
This article will assist you in gaining most of the syllabus details. We tried our best to provide the required syllabus info. Chapter-wise syllabus along with reference books written by experts and textbooks added. Hence in this article MA3451 – Transform Techniques syllabus, we include all the details regarding the examination. Students can easily get all the data regarding the syllabus on one page. Hope you will understand the syllabus. And All the best for your exams. Don’t forget to share it with your friends.
If you want to know more about the syllabus of B.Tech Chemical Engineering connected to an affiliated institution’s four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.Tech Chemical Engineering Syllabus Anna University Regulation 2021.
Aim Of Objectives:
- To acquaint the students with the concepts of vector calculus which naturally arises in many engineering problems.
- 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 transform techniques used in a wide variety of situations.
- To make the students appreciate the purpose of using transforms to create a new domain in which it is easier to handle the problem that is being investigated.
- To introduce 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.
MA3451 – Transform Techniques Syllabus
Unit I: Vector Calculus
Gradient and directional derivative – Divergence and curl – Irrotational and solenoidal vector fields – Line integral over a plane curve – Surface integral – Area of a curved surface – Volume integral Green’s, Gauss divergence and Stoke’s theorems – Verification and applications in evaluating line, surface and volume integrals.
Unit II: Fourier Series
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: 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 IV: Laplace Transforms
Existence conditions – Transforms of elementary functions – Transform of unit step function and unit impulse function – Basic properties – Shifting theorems -Transforms of derivatives and integrals – Initial and final value theorems – Inverse transforms – Convolution theorem – Transform of periodic functions – Application to solution of linear second order ordinary differential equations with constant coefficients.
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.
Text Books:
- Grewal B.S., “Higher Engineering Mathematics”, 44th edition, Khanna Publishers, New Delhi, 2018.
- Kreyszig E, “Advanced Engineering Mathematics “, 10th Edition, John Wiley, New Delhi, India, 2016.
References:
- Andrews. L.C and Shivamoggi. B, “Integral Transforms for Engineers” SPIE Press, 1999.
- Bali. N.P and Manish Goyal, “A Textbook of Engineering Mathematics”, 10th Edition, Laxmi Publications Pvt. Ltd, 2015.
- James. G., “Advanced Modern Engineering Mathematics”, 4th edition, Pearson Education, New Delhi, 2016.
- Narayanan. S., Manicavachagom Pillay. T.K and Ramanaiah. G “Advanced Mathematics for Engineering Students”, Vol. II & III, S.Viswanathan Publishers Pvt. Ltd, Chennai, 1998.
- Ramana. B.V., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd, New Delhi, 2018.
- Wylie. R.C. and Barrett. L.C., “Advanced Engineering Mathematics “Tata McGraw Hill Education Pvt. Ltd, 6th Edition, New Delhi, 2012.