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Algebra of Derivatives 9. The Derivatives of the Trigonometric Functions Limit Properties of Composite Functions Generalized Mean Value Theorem Extreme Values Points of Inflection Primitive Functions Change of Variables - Differentials - Integration by Parts The Concept of Area Fundamental Theorem of Integral Calculus Properties of Definite Integrals Method of Integration by Parts and Method of Substitution Mean Value Theorem Logarithmic Function Inverse Function The Exponential Function Some Logarithmic and Exponential Limits The General Logarithm The Cyclometric Functions Leibniz's Formula The Hyperbolic Functions The Primitives of Cosn x and Sinn x n is an Integer The Primitives of Irrational Algebraic Functions The Concept of Function The Concept of Limit Continuity Partial Differentiation Partial Derivatives of the Second Order Composite Functions-Total Differential Change of the Independent Variables Functions of More Than Two Variables Extreme Values of Functions of Two Variables The Concept of Content—Double Integral Properties of Integrals Repeated Integrals with Constant Limits Extension to More General Regions of Integration General Curvilinear Coordinates Transformation of Double Integrals Cylindrical Coordinates Triple Integral Spherical Coordinates Area of a Plain Region in Polar Coordinates Volume of Solids of Revolution Area of a Curved Surface in Rectangular Coordinates Area of Surfaces of Revolution Mass and Density of Surfaces and Solids Sequences and Series 1.

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Sequence of Numbers 2. Convergence 3. Divergence 4. Evaluation of Limits 5. Monotonic Sequences 6. Cauchy's Convergence Theorem 7.

Series 8. Uniform Convergence 9.

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Theory of Functions 1. Complex Numbers 2.

Higher Order Derivatives By Satya Mukhopadhyay -

Functions 3. Integration Theorems 4. Infinite Series 5. Singular Points 6. Conformal Mapping 7. Ordinary Differential Equations 1.

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    Monographs and Surveys in Pure and Applied Mathematics - Routledge

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    Higher Order Derivatives (Monographs and Surveys in Pure and Applied Mathematics)

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