Mathematics for Marine Engineering – II detailed syllabus for Marine Engineering (Marine) for 2021 regulation curriculum has been taken from the Anna University official website and presented for the Marine 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 Marine Engineering 2nd Sem scheme and its subjects, do visit Marine 2nd Sem 2021 regulation scheme. The detailed syllabus of mathematics for marine engineering – ii is as follows.
Course Objectives:
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Unit I
ORDINARY DIFFERENTIAL EQUATIONS – FIRST ORDER AND APPLICATIONS 12 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 Integration- Factor – Linear differential equation of first order first degree, reducible to linear – Applications to electrical circuits and orthogonal trajectories
Unit II
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Unit III
VECTOR CALCULUS 12 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 12 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 Outcomes:
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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.
Reference Books:
- Bali N. P and Manish Goyal, A Text book of Engineering Mathematics, 10thEdition, Laxmi Publications (p) Ltd., 2015.
- Jain R.K and Iyengar S.R.K, Advanced Engineering Mathematics, 5thEdition, Narosa Publishing House Pvt. Ltd., 2016.
- James, G., Advanced Engineering Mathematics, 5thEdition, Pearson Education, 2016.
- Ramana B.V, Higher Engineering Mathematics, McGraw Hill Education Pvt. Ltd., New Delhi, 2016.
For detailed syllabus of all other subjects of Marine Engineering, 2021 regulation curriculum do visit Marine 2nd Sem subject syllabuses for 2021 regulation.
For all Marine Engineering results, visit Anna University Marine all semester results direct link.