Transforms and Partial Differential Equations detail syllabus for Industrial Engineering & Management (Ind Engg & Mang), 2017 regulation is taken from Anna University official website and presented for students of Anna University. The details of the course are: course code (MA8353), Category (BS), Contact Periods/week (4), Teaching hours/week (4), Practical Hours/week (0). The total course credits are given in combined syllabus.
For all other ind engg & mang 3rd sem syllabus for be 2017 regulation anna univ you can visit Ind Engg & Mang 3rd Sem syllabus for BE 2017 regulation Anna Univ Subjects. The detail syllabus for transforms and partial differential equations is as follows.”
Course Objective:
- 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.
Unit I
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Unit II
Fourier Series
Dirichlets conditions – General Fourier series – Odd and even functions – Half range sine series -Half range cosine series – Complex form of Fourier series – Parsevals 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
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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.
Course Outcome:
Upon successful completion of the course, students should be able to:
- Understand how to solve the given standard partial differential equations.
- Solve differential equations using Fourier series analysis which plays a vital role in engineering applications.
- Appreciate the physical significance of Fourier series techniques in solving one and two dimensional heat flow problems and one dimensional wave equations.
- Understand the mathematical principles on transforms and partial differential equations would provide them the ability to formulate and solve some of the physical problems of engineering.
- Use the effective mathematical tools for the solutions of partial differential equations by using Z transform techniques for discrete time systems.
Text Books:
- Grewal B.S., Higher Engineering Mathematics”, 43rd Edition, Khanna Publishers, New Delhi, 2014.
- Narayanan S., Manicavachagom Pillay.T.K and Ramanaiah.G “Advanced Mathematics for Engineering Students”, Vol. II and III, S.Viswanathan Publishers Pvt. Ltd, Chennai, 1998.
References:
- B.V Ramana.., “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd, New Delhi, 2016.
- Erwin Kreyszig, “Advanced Engineering Mathematics “, 10th Edition, John Wiley, India, 2016.
- G. James, “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson Education, 2007.
- L.C Andrews, L.C and Shivamoggi, B, “Integral Transforms for Engineers” SPIE Press, 1999.
- N.P. Bali. and Manish Goyal, “A Textbook of Engineering Mathematics”, 9th Edition, Laxmi Publications Pvt. Ltd, 2014.
- R.C. Wylie, and Barrett, L.C., Advanced Engineering Mathematics Tata McGraw Hill Education Pvt. Ltd, 6th Edition, New Delhi, 2012.
For detail syllabus of all other subjects of BE Ind Engg & Mang, 2017 regulation do visit Ind Engg & Mang 3rd Sem syllabus for 2017 Regulation.
Dont forget to download iStudy for latest syllabus and results, class timetable and more.