MA8251 – Engineering Mathematics II Syllabus Regulation 2017

Code –MA8251, this article about B.E/B.Tech./B.Arch Mechanical Engineering Semester II Engineering Mathematics II syllabus. Students are requested to make notes or PDFs of the semester in Engineering Mathematics II for effective preparation from here. It will help you to understand what are the topics in the syllabus of Engineering Mathematics II.

And to make preparation strategies to score well in the examinations. Unit-wise detailed syllabus is given below in one place, in the following article MA8251 – Engineering Mathematics II. If the information helps you, kindly share it with your classmates.

If you want to know more about the syllabus of B.E Mechanical Engineering connected to an affiliated institution’s four-year undergraduate degree programme. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.E Mechanical Engineering Syllabus Anna University Regulation 2017.

Aim Of Concept:

This course is designed to cover topics such as Matrix Algebra, Vector Calculus, Complex Analysis and Laplace Transform. Matrix Algebra is one of the powerful tools to handle practical problems arising in the field of engineering. Vector calculus can be widely used for modelling the various laws of physics. The various methods of complex analysis and Laplace transforms can be used for efficiently solving the problems that occur in various branches of engineering disciplines.

MA8251 – Engineering Mathematics II Syllabus

Unit I: Matrices

Eigen values and Eigenvectors of a real matrix – Characteristic equation – Properties of Eigen values 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: Vector Calculus
Gradient and directional derivative – Divergence and curl – Vector identities – 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 application in evaluating line, surface and volume integrals.

Unit III: Analytic Functions

Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar coordinates – Properties – Harmonic conjugates – Construction of analytic function – Conformal.

Unit IV: Complex Integration

Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Taylor’s and Laurent’s series – Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real integrals – Use of circular contour and semicircular contour.

Unit V: 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.

Text Books:

• Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 43rd Edition, 2014.
• Kreyszig Erwin, “Advanced Engineering Mathematics “, John Wiley and Sons, 10th Edition, New Delhi, 2016.

References:

• Bali N., Goyal M. and Watkins C., “Advanced Engineering Mathematics”, Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), New Delhi, 7th Edition, 2009.
• Jain R.K. and Iyengar S.R.K., ” Advanced Engineering Mathematics ”, Narosa Publications, New Delhi , 3rd Edition, 2007.
• O’Neil, P.V. “Advanced Engineering Mathematics”, Cengage Learning India Pvt., Ltd, New Delhi, 2007.
• Sastry, S.S, “Engineering Mathematics”, Vol. I & II, PHI Learning Pvt. Ltd, 4th Edition, New Delhi, 2014.
• Wylie, R.C. and Barrett, L.C., “Advanced Engineering Mathematics “Tata McGraw Hill Education Pvt. Ltd, 6th Edition, New Delhi, 2012.

If you want to check the syllabus of other branches provided by Anna University, Anna University syllabus Regulation 2017 will assist you in a clear path. Hope you find the required details.