Mathematics For Marine Engineering – II is a dynamic subject that continuously shifts from one perspective to another. However, the technicality is the same even if the theories and perspectives vary. Hence to gain knowledge in this subject you must be equipped with more vicious on the syllabus.
In this article, we tried to provide the required syllabus of the MA3201 Mathematics For Marine Engineering – II subject to gain command of the subject matter. By the end of the course, you will be trained and guided with useful knowledge regarding technical english, which plays a major role in understanding the core of this B.E Marine Engineering semester II related to Affiliated institutions awarded by Anna University course. Hope this information is useful. Kindly share it with your friends. Comment below if you have queries regarding the syllabus.
If you want to know more about the syllabus of B.E. Marine Engineering connected to an affiliated institution’s four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.E. Marine Engineering Syllabus Regulation 2021 Anna University.
Aim Of Concept:
- To provide the required skill to apply the concepts of ordinary differential equations.
- To provide the required skill to apply higher-order differential equations in marine applications.
- To provide the required skill to apply vector calculus.
- To provide the required skill to apply complex variables.
- To provide the required skill to apply Laplace transformation in marine engineering problems.
MA3201 – Mathematics For Marine Engineering – II Syllabus
Unit I: Ordinary Differential Equations – First Order And Applications
Definition- Order and degree – Formation of differential equation – Solution of first order, first degree equations in variable separable form, homogeneous equations, other substitutions – Equations reducible to homogeneous and exact differential equations – Equations reducible to exact IntegrationFactor – Linear differential equation of first order first degree, reducible to linear – Applications to electrical circuits and orthogonal trajectories
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 Cauchy’s homogeneous linear differential equations and Legendre’s 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 – Green’s theorem in a plane, Gauss divergence theorem, and Stokes’s theorem (excluding proofs) – Simple applications involving cubes and rectangular parallelopipeds.
Unit IV: Analytic Functions
Functions of a complex variable – Analytic functions – Necessary conditions – Cauchy – Riemann equation and sufficient conditions (excluding proofs) – Harmonic and orthogonal properties of analytic function – Harmonic conjugate – Construction of analytic functions – Conformal mapping: W = Z+C, CZ, 1/Z, and bilinear transformation.
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.
Text Books:
- Grewal. B.S, “Higher Engineering Mathematics”, 44th Edition, Khanna Publications, New Delhi, 2018.
- Kreyszig E, “Advanced Engineering Mathematics”, 10th Edition, John Wiley, India, 2016.
References:
- Bali N. P and Manish Goyal, “A Textbook of Engineering Mathematics”, 10th Edition, Laxmi Publications (p) Ltd., 2015.
- Jain R.K and Iyengar S.R.K, “Advanced Engineering Mathematics”, 5th Edition, Narosa Publishing House Pvt. Ltd., 2016.
- James, G., “Advanced Engineering Mathematics”, 5th Edition, Pearson Education, 2016.
- Ramana B.V, “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd., New Delhi, 2016.
Related Posts On Semester – II
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- GE3251 – Engineering Graphics
- GE3252 – தமிழரும் ததொழில்நுட்பமும் /Tamils and Technology
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