Mathematics for Marine Engineering – II Detailed Syllabus for B.Tech second sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.
The detailed syllabus for Mathematics for Marine Engineering – II B.Tech 2016-2017 (R13) secondsem is as follows
OBJECTIVES:
To provide the required skill to apply the concepts of ordinary differential equations, vector calculus, complex variable and laplace transformation in marine engineering problems.
UNIT I : ORDINARY DIFFERENTIAL EQUATIONS – FIRST ORDER
AND APPLICATIONS [12 hours]
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 : ORDINARY DIFFERENTIAL EQUATIONS – HIGHER ORDER AND APPLICATIONS [12 hours]
Higher (nth) order linear differential equations – definition and complementary solution, Methods of obtaining PI, Method of variation of parameters, Method of undetermined coefficients, Cauchy’s Homogeneous LDE 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 [12 hours]
Gradient Divergence and Curl – Directional derivative – Irrotational and solenoidal vector fields – Vector integration – Green’s theorem in a plane, Gauss divergence theorem and stokes’ theorem (excluding proofs) – Simple applications involving cubes and rectangular parallelopipeds.
[TOTAL: 60 PERIODS]
OUTCOMES:
The basic and fundamental knowledge gained by the students in the application of ordinary differential equations vector fields and transformations will be applied by them in the process field related to marine engineering.
TEXT BOOK:
- Bali N. P and Manish Goyal, “Text book of Engineering Mathematics”, 3rd
Edition, Laxmi Publications (p) Ltd., 2008. - Grewal. B.S, “Higher Engineering Mathematics”, 40th Edition, Khanna Publications, Delhi, 2007.
REFERENCES:
- Ramana B.V, “Higher Engineering Mathematics”,Tata McGraw Hill Publishing Company, New Delhi, 2007.
- Glyn James, “Advanced Engineering Mathematics”, 3rd Edition, Pearson Education, 2007.
- Erwin Kreyszig, “Advanced Engineering Mathematics”, 7th Edition, Wiley India, 2007.
- Jain R.K and Iyengar S.R.K, “Advanced Engineering Mathematics”, 3rd Edition, Narosa Publishing House Pvt. Ltd., 2007
For all other B.Tech MA 2nd sem syllabus go to Anna University B.Tech MARINE ENGINEERING (MA) 2nd Sem Course Structure for (R13) Batch.All details and yearly new syllabus will be updated here time to time. Subscribe, like us on facebook and follow us on google plus for all updates.
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