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Precize CALCULUS & DIFFERENTIAL EQUATIONS (GNDU)

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The entire subject matter in the book has been arranged in a systematic, graded, simple, lucid and exhaustive manner. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for a better understanding of the subject. Well-planned and exhaustive exercises have been given in each chapter.

Description

Asymptotes, Test for concavity and convexity, Points of inflexion, Multiple Points, Curvature, Tracing of Curves (Cartesian and Parametric coordinates only). Integration of hyperbolic functions. Reduction formule. Definite integrals. Fundamental theorem of integral calculus. Quadrature, rectification.

Exact differential equations. First order and higher degree equations solvable for x, y, p. Clairaut’s form and singular solutions. Geometrical meaning of a differential equation. Orthogonal trajectories. Linear differential equations with constant and variable coefficients. Variation of Parameters method, reduction method, series solutions of differential equations. Power series method, Bessel and Legendre equations.

Additional information

Language

English

Binding

Paperback

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