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Calculus : An Applied Approach,9780618547180
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Calculus : An Applied Approach

by ;
Edition:
7th
ISBN13:

9780618547180

ISBN10:
0618547185
Format:
Hardcover
Pub. Date:
3/14/2005
Publisher(s):
Cengage Learning
List Price: $356.32

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This is the 7th edition with a publication date of 3/14/2005.
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Summary

Designed specifically for the non-math major who will be using calculus in business, economics, or life and social science courses, Calculus: An Applied Approach, 7/e, addresses students' weak math skills through added structure and guidance on how to study math. Special student-success-oriented sections include chapter-opening Strategies for Success; What You Should Learn--and Why You Should Learn It; Section Objectives; Chapter Summaries and Study Strategies; Try Its; Study Tips; and Warm-Up exercises. In addition the text presents Algebra Tips at point of use and Algebra Review at the end of each chapter. The Seventh Edition places a new emphasis on algebra review through Algebra Tips at point of use throughout the chapter and Algebra Review at the end of each chapter. This edition also builds on a proven emphasis on applications; updates and increases the coverage of technology at point of use; and includes sample post-graduation exam questions. A strong support package includes the HM mathSpace CD-ROM--which further emphasizes algebra review--and Instructional DVDs that allow students to review material outside of class. Approximately 6,000 exercises--progress from skill-development problems to more challenging, real-world application questions--are easily customized to the difficulty level of the instructor's choice. In addition, a number of relevant exercises from textbooks in other disciplines--such as biology, chemistry, economics, finance, geology, physics, and psychology--to show students that they will use calculus in future courses outside of the math curriculum. Algebra Review offers students algebraic support at point of use and at the end of the chapter. The end-of-chapter Algebra Review illustrate the key algebraic concepts called out in the Algebra Reviews used throughout the chapter. This feature is designed to help students who may have weak algebra skills and need help as they take a calculus course. Prerequisite Review exercises at the beginning of each exercise set help students review skills covered in previous sections. The answers are provided at the back of the text, enabling students to check their work. Review Exercises are also included at the end of each chapter and offer students the opportunity for additional practice and review. Discovery Projects expose students to concepts before the topic is covered in the text. This allows students to explore the concept on their own, making them more likely to remember the results. Take Another Look, appearing just before each section exercise set, asks students to look back at one or more concepts presented in the section. The questions in these sections are designed to enhance understanding of key ideas. Post-Graduation Exam Questions appear at the end of each chapter. They include sample questions representative of the types of questions on various standardized tests (i.e. GMAT, CPA exams, GRE, College Level Academic Skills Test). These questions challenge students and provide additional practice. Business Capsules appear at the end of numerous sections. Along with accompanying exercises, these features deal with business situations related to the mathematical concepts covered in the chapter. This feature allows students to see the relevance of what they are learning, and the importance of everyday mathematics. Ready to use and easy to integrate into your calculus course, Eduspace, powered by Blackboard, brings your students quality homework, tutorials, and testing while saving you time. Browser-based, algorithmically generated homework problems are scored for you automatically. You determine whether the grade is recorded and how much each assignment counts toward a final grade.

Table of Contents

Note: Each chapter includes an Algebra Review, Chapter Summary, Study
Strategies, Review Exercises, and Sample Post-Graduation Exam Questions
A Precalculus Review
The Real Number Line and Order
Absolute Value and Distance on the Real Number Line
Exponents and Radicals
Factoring Polynomials
Fractions and Rationalization
Functions, Graphs, and Limits
The Cartesian Plane and the Distance Formula
Graphs of Equations
Lines in the Plane and Slope
Functions
Limits
Continuity
Differentiation
The Derivative and the Slope of a Graph
Some Rules for Differentiation
Rates of Change: Velocity and Marginals
The Product and Quotient Rules
The Chain Rule
Higher-Order Derivatives
Implicit Differentiation
Related Rates
Applications of the Derivative
Increasing and Decreasing Functions
Extrema and the First-Derivative Test
Concavity and the Second-Derivative Test
Optimization Problems
Business and Economics Applications
Asymptotes
Curve Sketching: A Summary
Differentials and Marginal Analysis
Exponential and Logarithmic Functions
Exponential Functions
Natural Exponential Functions
Derivatives of Exponential Functions
Logarithmic Functions
Derivatives of Logarithmic Functions
Exponential Growth and Decay
Integration and Its Applications
Antiderivatives and Indefinite Integrals
The General Power Rule
Exponential and Logarithmic Integrals
Area and the Fundamental Theorem of Calculus
The Area of a Region Bounded by Two Graphs
The Definite Integral as the Limit of a Sum
Volumes of Solids of Revolution
Techniques of Integration
Integration by Substitution
Integration by Parts and Present Value
Partial Fractions and Logistic Growth
Integration Tables and Completing the Square
Numerical Integration
Improper Integrals
Functions of Several Variables
The Three-Dimensional Coordinate System
Surfaces in Space
Functions of Several Variables
Partial Derivatives
Extrema of Functions of Two Variables
Lagrange Multipliers
Least Squares Regression Analysis
Double Integrals and Area in the Plane
Applications of Double Integrals
Trigonometric Functions
Radian Measure of Angles
The Trigonometric Functions
Graphs of Trigonometric Functions
Derivatives of Trigonometric Functions
Integrals of Trigonometric Functions
L'Hocirc;pital's Rule
Probability and Calculus
Discrete Probability
Continuous Random Variables
Expected Value and Variance
Series and Taylor Polynomials
Sequences
Series and Convergence
p-Series and the Ratio Test
Power Series and Taylor's Theorem
Taylor Polynomials
Newton's Method
Appendices
Alternate Introduction to the Fundamental Theorem of Calculus
Formulas
Differentiation and Integration Formulas
Formulas from Business and Finance
Differential Equations
Solutions of Differential Equations
Separation of Variables
First-Order Linear Differential Equations
Applications of Differential Equations The following Appendices available at the text-specific website at college.hmco.com:
Properties of Measurement
Review of Algebra, Geometry, and Trigonometry
Units of Measurement
Graphing Utility Programs
Graphing Utility Programs
Table of Contents provided by Publisher. All Rights Reserved.


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