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Syllabus, , , , , , , , Text Calculus: Soo T Tan Brooks/Cole, Cengage Learning (2010 ), ISBN: 978-0-534-46579-7, , , , , , , , , , Module-! (20 hrs), , , , , , (The Transcendental Functions), , 6.1: The Natural logarithmic function- definition, The Derivative of ln x,, Laws of Logarithms, The Graph of the Natural Logarithmic Function, The, Derivatives of Logarithmic Functions, Logarithmic Differentiation,, Integration Involving Logarithmic Functions, , 6.2: Inverse Functions-The Inverse of a Function, The Graphs of Inverse, Functions, Which Functions have Inverses?, Finding the Inverse of a, Function, Continuity and Differentiability of Inverse Functions., , 6.3: Exponential Functions- The number e, Defining the Natural, Exponential Function, properties, The Laws of Exponents, The Derivatives, of Exponential Functions, Integration of the Natural Exponential Function, , 6.4: General Exponential and Logarithmic Functions - Exponential, Functions with Base a, laws of exponents, The Derivatives of a*,a“, Graphs, of y= a*, integrating a* , Logarithmic Functions with Base a, change of base, formula, The Power Rule (General Form), The Derivatives of Logarithmic, Functions with Base a, The Definition of the Number eas a Limit, [ ‘Compound Interest’ omitted], , 6.5: Inverse trigonometric functions- definition, graph, inverse properties,, Derivative of inverse trigonometric functions, Integration Involving Inverse, Trigonometric Functions, , 6.6: Hyperbolic functions- The Graphs of the Hyperbolic Functions,, Hyperbolic Identities, Derivatives and Integrals of Hyperbolic Functions,, Inverse Hyperbolic Functions, representation in terms of logarithmic function,, Derivatives of Inverse Hyperbolic Functions, An Application, , 6.7: Indeterminate forms and |’H6pital rule- motivation, The Indeterminate, Forms : and = , The Indeterminate Forms 0-00 and0.0, The, Indeterminate Forms 0°, 00° and 1°