Mathematics For Marine Engineering 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 MA3101 Mathematics For Marine Engineering – I 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 I 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 knowledge on fundamentals of geometry integrals and integral calculus for engineering applications.
- To understand the basic concepts of differentiation.
- To apply the concept of partial differentiation for the functions of several variables.
- To understand the basic concepts of integration.
- To apply the integration concepts in double and triple integrations.
MA3101 – Mathematics For Marine Engineering – I Syllabus
Unit I: Three-Dimensional Analytical Geometry
Equation of lines and planes in three-dimensional space -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
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 – Leibnitz’s theorem – Maclaurin’s theorem Taylor’s theorem – Indeterminate forms and L’Hospital’s rule – Maxima and Minima of one variable functions – Concavity – Curve tracing of cartesian 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 – 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.
Unit IV: Integral Calculus
Integration of standard forms by substitution and by parts – Definite integral as the limit of a sum Application of integration to area under curve – Volume of revolution – First moment of area and the position of a centroid of an area – Work done by variable forces – Mean values, Root mean square values of sin nx and cos nx. Rules of Guldinus -Theorems of parallel and perpendicular axes Second moments of area and moments of inertia of a rectangular and circular lamina.
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.
Text Books:
- Grewal B.S, “Higher Engineering Mathematics”, 44th Edition, Khanna Publications, New Delhi, 2018.
- KreyszigE, “Advanced Engineering Mathematics”, 10th Edition, John Wiley, New Delhi, India, 2016.
References:
- Bali N. P and Manish Goyal, “A Text Book of Engineering Mathematics”, 9th Edition, Laxmi Publications Ltd., 2014.
- Embleton, W. and Jackson, L., “Mathematics for Engineers”, Vol – I, 7th Edition, Reed’s Marine Engineering Series, Thomas Reed Publications, 1997.
- Jain R.K and Iyengar S.R.K,” Advanced Engineering Mathematics”, 5th edition, Narosa Publishing House Pvt. Ltd., 2016.
- James, G., “Advanced Engineering Mathematics”, 7th Edition, Pearson Education, 2007.
- Ramana, B.V, “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd, New Delhi, 2016.
Related Posts On Semester – I:
- IP3151 – Induction Programme
- HS3101 – Technical English for Marine Engineers – I
- PH3151 – Engineering Physics
- CY3101 – Chemistry for Marine Engineering
- GE3151 – Problem Solving and Python Programming
- GE3152 – தமிழர்மரபு /Heritage of Tamils
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