MA5158: Engineering Mathematics I Syllabus for ECE 1st Sem 2019 Regulation Anna University

Engineering Mathematics I detailed syllabus for Electronics & Communication Engineering (ECE) for 2019 regulation curriculum has been taken from the Anna Universities official website and presented for the ECE 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 Electronics & Communication Engineering 1st Sem scheme and its subjects, do visit ECE 1st Sem 2019 regulation scheme. The detailed syllabus of engineering mathematics i is as follows.

Course Objective:

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Unit I

Matrices
Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of eigenvalues and eigenvectors – Cayley-Hamilton theorem – Diagonalization of matrices -Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms.

Unit II

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Unit III

Functions of Several Variables
Partial derivatives – Homogeneous functions and Euler”s theorem – Total derivative -Differentiation of implicit functions – Change of variables – Jacobians – Partial differentiation of implicit functions – Taylor”s series for functions of two variables – Errors and approximations -Maxima and minima of functions of two variables – Lagrange”s method of undetermined multipliers.

Unit IV

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Unit V

Multiple Integrals
Double integrals – Change of order of integration – Double integrals in polar coordinates – Area enclosed by plane curves – Triple integrals – Volume of solids – Change of variables in double and triple integrals.

Course Outcome:

For the complete syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.
.

Text Books:

1. Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, 44th Edition, New Delhi, 2017.
2. James Stewart, “Calculus with Early Transcendental Functions”, Cengage Learning, 6th Edition, New Delhi,2013.
3. Joel Hass, Christopher Heil and Maurice D.Weir, “Thomas” Calculus”, Pearson, 14th Edition, New Delhi, 2018.
4. Narayanan S. and Manicavachagom Pillai T. K., “Calculus” Volume I and II, S. Viswanathan Publishers Pvt. Ltd., Chennai, 2009.

References:

1. Bali N., Goyal M. and Watkins C., “Advanced Engineering Mathematics”, Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), 7th Edition, New Delhi, 2009.
2. Erwin Kreyszig, “Advanced Engineering Mathematics”, John Wiley and Sons, 10th Edition, New Delhi, 2015.
3. Greenberg M.D., “Advanced Engineering Mathematics”, Pearson Education2nd Edition, 5th Reprint, Delhi, 2009.
4. Jain R.K. and Iyengar S.R.K., “Advanced Engineering Mathematics”,Narosa Publications, 5th Edition, New Delhi, 2017.
5. Peter V.O”Neil, “Advanced Engineering Mathematics”, Cengage Learning India Pvt., Ltd, 7th Edition, New Delhi , 2012.
6. Ramana B.V., “Higher Engineering Mathematics”, Tata McGraw Hill Co. Ltd., 11th Reprint, New Delhi, 2010.

For detailed syllabus of all other subjects of Electronics & Communication Engineering, 2019 regulation curriculum do visit ECE 1st Sem subject syllabuses for 2019 regulation.

For all Electronics & Communication Engineering results, visit Anna University ECE all semester results direct link.