Mathematics for Marine Engineering II detail syllabus for Marine Engineering (Marine), 2017 regulation is taken from Anna University official website and presented for students of Anna University. The details of the course are: course code (MA8201), 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 marine 2nd sem syllabus for be 2017 regulation anna univ you can visit Marine 2nd Sem syllabus for BE 2017 regulation Anna Univ Subjects. The detail syllabus for mathematics for marine engineering ii is as follows.”
Course Objective:
This course is designed to cover topics such as Ordinary Differential Equations, Vector Calculus, Complex Analysis and Laplace Transform. Ordinary Differential Equations is one of the powerful tools to handle practical problems arising in the field of engineering. Vector calculus can be widely used for modeling 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
Ordinary Differential Equations – Higher Order and Applications
Higher (nth) order linear differential equations – Definition and complementary solution – Methods of obtaining particular integral – Method of variation of parameters – Method of undetermined coefficients -Cauchys homogeneous linear differential equations and Legendres equations – System of ordinary differential equations – Simultaneous equations in symmetrical form – Applications to deflection of beams, struts and columns – Applications to electrical circuits and coupled circuits
Unit III
Vector Calculus
Gradient – Divergence and curl – Directional derivative – Irrotational and solenoidal vector fields -Vector integration – Greens theorem in a plane, Gauss divergence theorem and Stokes theorem (excluding proofs) – Simple applications involving cubes and rectangular parallelopipeds.
Unit IV
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Unit V
Laplace Transform
Laplace transform – Conditions for existence – Transform of elementary functions – Basic properties – Transform of derivatives and integrals – Transform of unit step function and impulse functions -Transform of periodic functions – Definition of inverse Laplace transform as contour integral -Convolution theorem (excluding proof) – Initial and final value theorems – Solution of linear ODE of second order with constant coefficients using Laplace transformation techniques.
Course Outcome:
After successfully completing the course, the student will have a good understanding of the following topics:
- Apply various techniques in solving differential equations.
- 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:
- Bali N. P and Manish Goyal, A Text book of Engineering Mathematics, 9th Edition, Laxmi Publications (p) Ltd., 2014.
- Grewal. B.S, Higher Engineering Mathematics, 43rd Edition, Khanna Publications, Delhi, 2014.
References:
- Jain R.K and Iyengar S.R.K, Advanced Engineering Mathematics, 3 Edition, Narosa Publishing House Pvt. Ltd., 2007.
- James, G., Advanced Engineering Mathematics, 3 Edition, Pearson Education, 2007.
- Kreyszig Erwin, Advanced Engineering Mathematics, 10 Edition, John Wiley, India, 2016.
- Ramana B.V, Higher Engineering Mathematics, McGraw Hill Education Pvt. Ltd., New Delhi, 2016.
For detail syllabus of all other subjects of BE Marine, 2017 regulation do visit Marine 2nd Sem syllabus for 2017 Regulation.
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