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fraga r calculus problems new century 1993

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Textbook in PDF format Emphasizes conceptual understanding over rote drill. The problems are organized in groups that parallel traditional grouping of ideas, making it possible to use them as supplements to most texts. Most of the problems can be done without the use of a calculator or computer. Introduction: Resources for Calculus Collection The Five Volumes of the Resources for Calculus Collection Acknowledgements Foreword Acknowledgements for Volume II Suggestions to the Student Suggestions to the Instructor Functions and Graphs Domain and Range. Elementary Functions Trigonometric Functions Exponential and Logarithmic Functions Composite Functions Functions Described by Tables or Graphs Parametric Equations Polar Coordinates The Derivative Average Rates of Change Introduction to the Derivative Graphical Differentiation Problems Limits Continuity Power, Sum and Product Rules The Chain Rule Implicit Differentiation and Derivatives of Inverses Derivatives of Trigonometric, Log, and Exponential Functions Root Finding Methods Related Rates Extreme Values Increasing and Decreasing Functions and Relative Extrema Concavity and the Second Derivative Max-Min Story Problems Antiderivatives and Differential Equations Antiderivatives Introduction to Differential Equations The Definite Integral Riemann Sums Properties of Integrals Geometric Integrals The Fundamental Theorem of Calculus Functions Defined by Integrals The Definite Integral Revisited Exact Values from the Fundamental Theorem of Calculus Techniques of Integration Approximation Techniques and Error Analysis Sequences and Series of Numbers Sequences of Numbers Series of Numbers. Geometric Series Convergence Tests: Positive Series Convergence Tests: All Series Newton’s Method Improper Integrals Sequences and Series of Functions Sequences of Functions. Taylor Polynomials Series of Functions. Taylor Series Power Series The Integral in IR2 and R3 Real-valued Functions of Two and Three Variables Definition of Double and Triple Integrals Evaluation of Double Integrals Vectors and Vector Geometry Vectors Velocity and Acceleration Arc Length The Derivative in Two and Three Variables Partial Derivatives Gradient and Directional Derivatives Equation of the Tangent Plane Optimization Line Integrals Line Integrals Conservative Vector Fields and Green’s Theorem

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Fraga R. Calculus Problems for a New Century 1993.pdf 15.0 MB

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fraga r calculus problems new century 1993

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