Synopses & Reviews
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. Readers will also gain access to WileyPLUS, an online tool that allows for extensive drills and practice. Calculus teachers will build on their understanding in the field and discover new ways to present concepts to their students.
Synopsis
- Motivates and challenges readers with the help of conceptual and modeling problems.
- Incorporates an electronic problem bank that provides instant feedback to online exercises.
- Revised sections on related rates, the chain rule, and series now incorporate more traditional elements.
- Cover the derivative, the definite integral, integration, approximating functions, and more.
- Includes appendices on roots, accuracy, and bounds, polar coordinates, complex numbers, and Newton's method.
Synopsis
Now in its fourth edition, Calculus reflects the strong consensus within the mathematics community for a balance between contemporary and traditional ideas. Building on previous work, it brings together the best of both new and traditional curricula in an effort to meet the needs of instructors and students alike. The text exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that is easy to understand, and a flexible approach to technology.
Table of Contents
1. Library of Functions.
2. Key Concept: The Derivative.
3. Short-Cuts To Differentiation.
4. Using The Derivative.
5. Key Concept: The Definite Integral.
6. Constructing Antiderivatives.
7. Integration.
8.Using The Definite Integral.
9. Sequences and Series.
10. Approximating Functions Using Series.
11. Differential Equations.
Appendix.
Ready Reference.
Answers To Odd Numbered Problems.
Index.