Mathematics for Marine Engineering I 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 (MA8101), 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 1st sem syllabus for be 2017 regulation anna univ you can visit Marine 1st Sem syllabus for BE 2017 regulation Anna Univ Subjects. The detail syllabus for mathematics for marine engineering i is as follows.”
Course Objective:
- The goal of this course is to achieve conceptual understanding and to retain the best traditions of traditional calculus and three-dimensional analytical geometry.
- The syllabus is designed to provide the basic tools of calculus mainly for the purpose of Marine Engineering students to model the engineering problems mathematically and provide solutions.
- This is a foundation course which mainly deals with topics such as single variable and multivariable calculus and three-dimensional analytic geometry and plays an important role in the understanding of science, engineering, economics and computer science, among other disciplines.
Unit I
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Unit II
Differential Calculus
Differentiation of algebraic, circular, exponential and logarithmic functions, products, quotient functions of a function and simple implicit functions – Successive differentiation : Introduction and notation – nth order derivatives of standard functions – nth order derivatives using (a) Trigonometric identities and standard functions (b) Partial fractions – Leibnitzs theorem – Maclaurins theorem -Taylors theorem – Indeterminate forms and LHospitals rule – Curve tracing of cartesian and polar curves.
Unit III
Functions of Several Variables
Limits and continuity – Partial derivatives – Definition – Geometrical interpretation and rules of partial differentiation – Higher order partial derivatives – Homogeneous functions – Eulers 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.
Unit IV
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Unit V
Multiple Integrals
Double and triple integrals – Cartesian coordinates – Region of integration and change of order of integration – Spherical polar and cylindrical coordinates – Theorems of parallel and perpendicular axes
– Second moments of area and moments of inertia of a rectangular and circular laminas – Applications
– Area, Volume, Mass of wire, Lamina and solid – Centre of Gravity of wire, lamina and solid – Moment of inertia using multiple integrals.
Course Outcome:
After completing this course, students should demonstrate competency in the following skills:
- Use rules of differentiation to differentiate functions.
- Apply differentiation to solve maxima and minima problems.
- Evaluate integrals using the Fundamental Theorem of Calculus.
- Apply integration to compute arc lengths, volumes of revolution and surface areas of revolution.
- Apply integration to compute multiple integrals, area, moment of inertia, integrals in polar coordinates, in addition to change of order.
- Apply the concepts of three-dimensional geometry to model engineering problems.
Evaluate integrals using techniques of integration, such as substitution, partial fractions and integration by parts.
Text Books:
- Bali N. P and Manish Goyal, A Text Book of Engineering Mathematics, 9th Edition, Laxmi Publications Ltd., 2014.
- Grewal B.S, Higher Engineering Mathematics, 43rd Edition, Khanna Publications, Delhi, 2014.
References:
- Embleton, W. and Jackson, L., Mathematics for Engineers, Vol – I, 7th Edition, Reeds Marine Engineering Series, Thomas Reed Publications, 1997.
- Jain R.K and Iyengar S.R.K, Advanced Engineering Mathematics, 3 Edition, Narosa Publishing House Pvt. Ltd., 2007.
- James, G., Advanced Engineering Mathematics, 7 Edition, Pearson Education, 2007.
- 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 1st Sem syllabus for 2017 Regulation.
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