MA8101 MME SYLLABUS
We are providing the MA8101 Mathematics for Marine Engineering – I Syllabus below for your examination success. use our Materials to score good marks in the examination. Best of Luck.
| Regulation | 2017 |
| Subject Code | MA8101 |
| Subject Name | MATHEMATICS FOR MARINE ENGINEERING – I |
| Semester | I |
OBJECTIVES :
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 THREE DIMENSIONAL ANALYTICAL GEOMETRY 12
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
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 – Curve tracing of cartesian and polar
curves.
UNIT III FUNCTIONS OF SEVERAL VARIABLES 12
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 12
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 laminas
UNIT V MULTIPLE INTEGRALS 12
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.
TOTAL : 60 PERIODS
OUTCOMES :
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.
· Evaluate integrals using techniques of integration, such as substitution, partial fractions and
integration by parts.
· Apply the concepts of three-dimensional geometry to model engineering problems.
TEXT BOOKS :
1. Bali N. P and Manish Goyal, “A Text Book Mf atEhenmginateicesri”n, g9 th Edition, Laxmi
Publications Ltd., 2014.
2. Grewal B.S, “Higher Engineering Mathematics”, 43 rd Edition, Khanna Publications, Delhi, 2014.
REFERENCES :
1. Embleton, W. and Jackson, L., “Mathematics for Engineers”, Vol – I, 7th Edition,’s ReMedarine
Engineering Series, Thomas Reed Publications, 1997.
2. Jain R.K and Iyengar S.R.K,” Advanced Engineering Mathematics”, 3rd Edition, Narosa Publishing House Pvt. Ltd., 2007.
3. James, G., “Advanced Engineering Mathematics”, 7th Edition, Pearson Education, 2007.
4. Ramana, B.V, “Higher Engineering Mathematics”, McGraw Hill Education Pvt. Ltd, New 2016.
MA8101 Mathematics for Marine Engineering – I Useful Links :
| MA8101 Mathematics for Marine Engineering – I Syllabus | Click here |
| MA8101 Mathematics for Marine Engineering – I Question Papers | Click here |
| MA8101 Mathematics for Marine Engineering – I Lecture Notes | Click here |
| MA8101 Mathematics for Marine Engineering – I Two Mark Questions | Click here |
| MA8101 Mathematics for Marine Engineering – I Important Questions | Click here |
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