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Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique. Calculus teachers will build on their understanding in the field and discover new ways to present concepts to their students. Contents
A Library of Functions | Key Concept: The Derivative | Short-Cuts to Differentiation | Using the Derivative | Key Concept: The Definite Integral | Constructing Antiderivatives | Integration | Using the Definite Integral | Sequences and Series | Approximating Functions | Differential Equations | Functions of Several Variables | A Fundamental Tool: Vectors | Differentiating Functions of Several Variables | Optimization | Integrating Functions of Several Variables | Parametrization and Vector Fields | Line Integrals | Fix Integrals | Calculus of Vector Fields Related Topics
Calculus and Analysis, Differential Equations