Mathematics for Marine Engineering – I Detailed Syllabus for B.Tech 1st 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 – I B.Tech 2016-2017 (R13) fristsem is as follows
OBJECTIVES:
To provide the required knowledge on fundamentals of geometry integrals and integral calculus for engineering applications.
UNIT I : THREE DIMENSIONAL ANALYTICAL GEOMETRY [12 hours]
Equation of a sphere – Plane section of a sphere – Tangent Plane – Equation of a cone – Right circular cone – Equation of a cylinder – Right circular cylinder.
UNIT II : DIFFERENTIAL CALCULUS [12 hours]
Differentiation of algebraic, circular, exponential and logarithmic functions, of products, quotient functions of a function and simple implicit functions. Successive differentiation- intro. And notation, nth order derivatives of standard functions, nth order derivatives using (a) trig. identities and standard functions (b) partial fractions, Leibnitz theorem, Maclaurin’s Theorem, and standard expansions, Expansions using standard expansions, Taylor’s theorem, Indeterminate forms and L’Hospital’s rule, Curve tracing of Cartesian and polar curves.
UNIT III : FUNCTIONS OF SEVERAL VARIABLES [12 hours]
Limits and continuity, Partial derivatives – definition, geometrical interpretation and rules of partial differentiation, Higher order partial derivatives, Homogeneous functions, Euler’s theorem for homogenous functions – Total derivatives and chain rules, Differentiation of implicit functions and composite functions ,Errors and approximations, Maxima and Minima, Method of Lagrangian multipliers.
TOTAL: 60 PERIODS
OUTCOMES:
The basic concepts of analytical geometry and differential and integral calculus learnt by the students will be applied to marine engineering
TEXT BOOKS:
- Bali N. P and Manish Goyal, “Text book of Engineering Mathematics”, Third edition, Laxmi Publications(p) Ltd.,2008.
- Grewal. B.S, “Higher Engineering Mathematics”, 40th Edition, Khanna Publications, Delhi, 2007.
- William Embleton and Leslie Jackson, “Mathematics for Engineers Vol- I”, 7th Edition, Reed’s Marine Engineering Serires, Thomas Reed Publications, 1997.
REFERENCES:
- Ramana B.V, “Higher Engineering Mathematics”, Tata McGraw Hill Publishing Company, New Delhi, 2007.
- Glyn James, “Advanced Engineering Mathematics”, 7th Edition, Pearson Education, 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 1st sem syllabus go to Anna University B.Tech MARINE ENGINEERING (MA) 1st 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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