Calculus by A.R Vasishtha
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Overview: SYLLABUS- CALCULUS,
Section-A
Differential Calculus – 4 Questions
Successive differentiation. Leibnitz theorem. Maclaurin and Taylor series
expansion. Tangents and normals. Asymptotes. Curvarture. Tests for concavity
and convexity. Points of inflexion Multiple points. Tracing of curve in Cartesian
and polar coordinates. Partial and total differentiation. Change of variables.
Euler’s theorem on homogeneous functions. Envelops and evolutes.
Section-B
Integral Calculus – 4 Questions
Integration of irrational algebraic functions and transcendental functions.
Reduction formulae. Definite integrals. Quadrature. Rectification. Volumes and
surfaces of solids of revolution. Beta and Gamma functions. Double and triple
integrals. Differentiation under the sign of integration. Dirichelt’s integral.
Change of order of integration in double integrals.
Genre: Non-Fiction > Educational
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