RGPV Model Paper

Hii sir, I wants to get the Question Paper of the Engineering Mathematics of the B.tech Course of the Rajiv Gandhi Proudyogiki Vishwavidyalaya

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Here I am giving you the Syllabus of the Engineering Mathematics of the B.tech Course of the Rajiv Gandhi Proudyogiki Vishwavidyalaya that is As Follow


Unit I
Recapitulation of Mathematics: Basics of Differentiation, Rolle’s and Lagranges Theorem, Tangents and Normals, Indefinite Integral (Substitution, Integration using Trigonometric Identity & Integration by Parts & Definite Integral).

Unit II
Ordinary Derivatives & Applications: Expansion of functions by Maclaurin’s & Taylor’s Theorem (One Variable), Maxima and Minima of functions of two variables, Curvature (Radius, Center & Circle of Curvature for Cartesian Coordinates), Curve Tracing.

Unit III
Partial Derivatives & Applications: Definition, Euler’s Theorem for Homogeneous Functions, Differentiation of Implicit Functions, Total Differential Coefficient, Transformations of Independent Variables, Jacobians, Approximation of Errors.

Unit IV
Integral Calculus: Definite Integrals as a Limit of Sum, Application in Summation of series, Beta and Gamma functions (Definitions, Relation between Beta and Gamma functions, Duplication formula, Applications of Beta & Gama Functions).

Unit V
Applications of Integral Calculus: Multiple Integral (Double & Triple Integrals), Change of Variables,Change the Order of Integration, Applications of Multiple Integral in Area, Volume, Surfaces & Volume of Solid of Revolution about X-Axis & Y-Axis.

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