Real number system, absolute values, inequalities, Functions, graphing of some basic functions, basic concept of limits, some useful limits, continuity, continuity of combinations of functions. Properties of continuous functions. Derivatives of algebraic, trigonometric and transcendental functions implicit differentiation. Differentials, Related rates, Higher derivatives, Leibnitz’s theorem (statement only), Extreme values, Concavity, Singular points. Asymptotes Statements of Rolle’s theorem, Mean value theorems and their applications, Increasing and decreasing functions.Indeterminate forms, L’ Hospital rule. Antiderivatives, definite and indefinite integrals, definite integral as limit of sum, fundamental theorem of integral calculus, properties of definite integral, reduction formulae, Walli’s sine and cosine formulae, product formulae, Improper integrals.

This course includes all necessary contents, which are required in the different subjects,e.g. Physics, Chemistry, Economics, Statistics at master and higher level. It is also useful in Engineering and Banking.

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Book Title : Calculus and Analytic Geometry

Author : 2. G.B. Thomas Jr. and R.L. Finney

Edition :

Publisher : Addision Wasely publishing company

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