Mathematics : Study & Teaching

Boost Your grades with this illustrated quick-study guide. You will use it. from high school all the way to graduate school and beyond. Features.:.; Includes both Calculus I and II.; Clear and concise explanations.; Difficult concepts are explained in simple terms.; Illustrated with graphs and diagrams.; Search for the words or phrases.; Designed for optimal navigation on PDA, Smartphone, Tablet, and desktop devices.; Formatted to display on all electronic devices including Smartphones and Mobile Devices with a small display.; Access the guide anytime, anywhere - at home, on the train, in the subway.; Use your down time to prepare for an exam.; Always have the guide available for a quick reference.; Automatic synchronization between the handheld and the desktop PC. You. could read half of the book on the handheld, then finish reading on the desktop. Annotations and drawings are also synchronized. Table of Contents. Introduction: Functions. Limits and Continuity: Limit of a Sequence | Limit of a Function. | Limit of a function at infinity | Continuity | Classification of Discontinuities. Derivative: Computing the derivative. | Quotient Rules | The Chain Rule | Implicit Function | Related Rates | Product. Rule. Table of derivatives: General differentiation rules | Derivatives of. simple functions | Derivatives of exponential and logarithmic functions | Derivatives. of trigonometric functions | Derivatives of hyperbolic functions | Derivatives. of Inverse Trigonometric Functions. Integration (Antiderivative): Integral. | Arbitrary Constant of Integration | The Fundamental Theorem of Calculus. Table of Integrals: Rules for integration of general functions | Integrals. of simple functions | Rational functions | Irrational functions | Logarithms. | Exponential functions | Trigonometric functions | Inverse Trigonometric Functions. | Hyperbolic functions | Inverse hyperbolic functions | Definite integrals lacking. closed-form antiderivatives | The "sophomore's dream" | Inte more...

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