Differential and Integral Calculus

Differential and Integral Calculus





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Introductory Problems, Algebraic Notions which are frequently used in the calculus, Infitesimals, Derivatives, Differentials, Anti-Derivatives and And Differentials, Differentiation of the Ordinary functions, Some Geometrical, Physical, and Analytical Applications, Geometric Derivatives and Differentials,
Successive Differentiation, Further Analytical and Geometrical Applications,
Differentiation of Functions of seveal Variables, Change of Variable, Concavity and Convexity,contact and Curvature, Evolutes and involutes, Rolle's theorem Theorems of mean Value Approximate solution of Equations, Indeterminate Forms, Special Topics relating to curves, Applications to Motion, Infinite Series,
Taylor's Theorem, Applications to surfaces and twisted curves, Integration,
Elementary Integrals, Simple Geometrical Applications of Integration,
Integration of Irrational and Trigonometric functions, Approximate Integration, Mechanical Integration, Integration of Infinite series, Successive Integration, Multiple Integrals Applications, Further Geometrical Applications of Integration,
Notes on Centre of Mass and Moment of Inertia, Differential Equations,


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