Mathematics for Marine Engineering \u2013 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.<\/p>\n
The detailed syllabus for Mathematics for Marine Engineering \u2013 I B.Tech 2016-2017 (R13) fristsem is as follows<\/p>\n
OBJECTIVES<\/strong>:<\/p>\n To provide the required knowledge on fundamentals of geometry integrals and integral calculus for engineering applications.<\/p>\n UNIT I : THREE DIMENSIONAL ANALYTICAL GEOMETRY \u00a0<\/strong> \u00a0 \u00a0 \u00a0 \u00a0[12 hours] UNIT II : DIFFERENTIAL CALCULUS \u00a0<\/strong> \u00a0\u00a0\u00a0[12 hours] UNIT III : FUNCTIONS OF SEVERAL VARIABLES<\/strong> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[12 hours]
\nEquation of a sphere \u2013 Plane section of a sphere \u2013 Tangent Plane \u2013 Equation of a cone \u2013 Right circular cone \u2013 Equation of a cylinder \u2013 Right circular cylinder.<\/p>\n
\nDifferentiation 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\u2019s Theorem, and standard expansions, Expansions using standard expansions, Taylor\u2019s theorem, Indeterminate forms and L\u2019Hospital\u2019s rule, Curve tracing of Cartesian and polar curves.<\/p>\n
\nLimits and continuity, Partial derivatives \u2013 definition, geometrical interpretation and rules of partial differentiation, Higher order partial derivatives, Homogeneous functions, Euler\u2019s theorem for homogenous functions \u2013 Total derivatives and chain rules, Differentiation of implicit functions and composite functions ,Errors and approximations, Maxima and Minima, Method of Lagrangian multipliers.<\/p>\n