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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
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Summary
Summary
KEY BENEFITS: Martha Goshaw'sConcepts of Calculus with Applicationsis the next generation of calculus textbook for the next generation of students and instructors. Martha is a new kind of textbook author, drawing from her many successful years in the classroom to bring calculus to life. This text is written in Martha's natural classroom voice, using a cheerful, student-friendly presentation to engage non-majors in the modern applied calculus course. With her deep knowledge of how students think and study, Martha's approach helps students with every homework assignment and exam, with ample algebra review before every topic and multiple types of study tools. Now for the first time ever, MyMathLab ® makes available a wide array of online homework, tutorial, and assessment tools, making the most of both students' and instructors' time. KEY TOPICS: Function review, Limits and Derivatives, Applications of the Derivative, The Integral and its Applications, Multivariable Calculus. MARKET: For all readers interested in Calculus
Author Notes
Martha Goshaw received her BA in mathematics from West Virginia Wesleyan College, her MA in mathematics from West Virginia University, and her Education Specialist degree in mathematics education from the University of Virginia. She is currently Professor of Mathematics at Seminole Community College in Sanford, Florida, where she teaches statistics and applied calculus, both in the classroom and via distance education. Prior to moving to Florida in 2000, she was a full-time faculty member at Piedmont Virginia Community College. Martha is an active member of AMATYC and served a six-year term as Secretary of the AMATYC Executive Board. She is also Past President of FTYCMA (Florida Two-Year College Mathematics Association) and was the founding president of VMATYC (Virginia Mathematical Association of Two-Year Colleges).
Table of Contents
| Unit 0 Function Review |
| Topic 1 Linear and Absolute Value Functions |
| Topic 2 Non-linear Functions |
| Topic 3 |
| Topic 4 Regression and Modeling |
| Unit 0 Review and Test |
| Unit 1 Limits and Derivatives |
| Topic 5 Introduction to Limits |
| Topic 6 Continuity |
| Topic 7 Rates of Change and Slope |
| Topic 8 Introduction to the Derivative |
| Topic 9 Derivatives of Algebraic Functions |
| Topic 10 Product, Quotient, and Chain Rules |
| Topic 11 Higher Order Derivatives |
| Topic 12 Exponential and Logarithmic Functions |
| Topic 13 Derivatives of Exponential and Logarithmic Functions |
| Unit 1 Review and Test |
| Unit 2 Applications of the Derivative |
| Topic 14 Graphs of Functions and the First Derivative Test |
| Topic 15 Second Derivative Test and graphs of functions |
| Topic 16 Absolute Extrema |
| Topic 17 Optimization |
| Topic 18 Business Applications |
| Topic 19 Related Rates and Implicit Differentiation |
| Unit 2 Review and Test |
| Unit 3 The Integral and its Applications |
| Topic 20 Anti-derivatives and Integrals |
| Topic 21 Rules for Integration |
| Topic 22 Substitution Techniques for Integration |
| Topic 23 Definite Integrals |
| Topic 24 Areas and Definite Integrals |
| Topic 25 Applications of Definite Integrals |
| Topic 26 Other Methods of Integration |
| Topic 27 Differential equations |
| Unit 3 Review and Test |
| Unit 4 Multivariable Calculus |
| Topic 28 Introduction to Functions of More than One Variable |
| Topic 29 Partial Derivatives |
| Topic 30 Optimization and LaGrange Multipliers |
| Topic 31 Double Integrals |
| Unit 4 Review and Test |
| Appendix |
| Appendix A Check Your Understanding Solutions |
| Appendix B Geometry Formulas |
| Appendix C Table of Integrals |
| Glossary of Important Terms |
| Answers to Odd-Numbered Topic Exercises |
| Index |
