Engineering Mathematics II detail syllabus for Plastic Technology (Plastic Tech), 2017 regulation is taken from Anna University official website and presented for students of Anna University. The details of the course are: course code (MA8251), 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 plastic tech 2nd sem syllabus for b.tech 2017 regulation anna univ you can visit Plastic Tech 2nd Sem syllabus for B.Tech 2017 regulation Anna Univ Subjects. The detail syllabus for engineering mathematics ii is as follows.”
Course Objective:
- 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.
Unit I
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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 – Greens, Gauss divergence and Stokes 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
mapping – Mapping by functions w = z + c, cz,, zz – Bilinear transformation.
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Unit IV
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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.
Course Outcome:
After successfully completing the course, the student will have a good understanding of the following topics and their applications:
- Eigenvalues and eigenvectors, diagonalization of a matrix, Symmetric matrices, Positive definite matrices and similar matrices.
- Gradient, divergence and curl of a vector point function and related identities.
- Evaluation of line, surface and volume integrals using Gauss, Stokes and Greens theorems and their verification.
- Analytic functions, conformal mapping and complex integration.
- Laplace transform and inverse transform of simple functions, properties, various related theorems and application to 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.
- ONeil, P.V. Advanced Engineering Mathematics, Cengage Learning India Pvt., Ltd, New Delhi, 2007.
- Sastry, S.S, Engineering Mathematics”, Vol. I and 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.
For detail syllabus of all other subjects of B.Tech Plastic Tech, 2017 regulation do visit Plastic Tech 2nd Sem syllabus for 2017 Regulation.
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