Name: Applied Calculus
ISBN: 9781305085312

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Finite Mathematics / Applied Calculus

Applied and Finite Math

Mathematics

Applied Calculus

CL Dimensions

Imprint Name

B2B & B2C

This text for the one- or two-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as learning curves in airplane production, the age of the Dead Sea Scrolls, Apple and Oracle stock prices, the distance traveled by sports cars, lives saved by seat belts, and the cost of a congressional victory. The Seventh Edition maintains the hallmark features that have made APPLIED CALCULUS so popular: contemporary and interesting applications (including many that are new or updated); careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant pedagogical reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises and assignment options including Applied Exercises, Conceptual Exercises, and Explorations and Excursions. This edition also includes new content and features to help students get up to speed-and succeed-in the course, including a Diagnostic Test, an Algebra Review appendix, marginal notes that make connections with previous or future discussions, learning prompts to direct students to examples or to the Algebra Review, and more.

Chapter 2

Hardcopy textbook for Berresford/Rockett's Applied Calculus. Buy direct for hassle-free returns. Included in Cengage Unlimited.

APPLIED CALCULUS

Duration

Duration Unit Of Measure

Transaction Type

Preface.
Integrating Excel.
Diagnostic Test.
1. FUNCTIONS.
Real Numbers, Inequalities, and Lines. Exponents. Functions: Linear and Quadratic. Functions: Polynomial, Rational, and Exponential. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.
2. DERIVATIVES AND THEIR USES. 
Limits and Continuity. Rates of Change, Slopes, and Derivatives. Some Differentiation Formulas. The Product and Quotient Rules. Higher-Order Derivatives. The Chain Rule and the Generalized Power Rule. Nondifferentiable Functions. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.
3. FURTHER APPLICATIONS OF DERIVATIVES. 
Graphing Using the First Derivative. Graphing Using the First and Second Derivatives. Optimization. Further Applications of Optimization. Optimizing Lot Size and Harvest Size. Implicit Differentiation and Related Rates. Differentials, Approximations, and Marginal Analysis. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test. Cumulative Review for Chapters 1–3.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. 
Exponential Functions. Logarithmic Functions. Differentiation of Logarithmic and Exponential Functions. Two Applications to Economics: Relative Rates and Elasticity of Demand. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.
5. INTEGRATION AND ITS APPLICATIONS. 
Antiderivatives and Indefinite Integrals. Integration Using Logarithmic and Exponential Functions. Definite Integrals and Areas. Further Applications of Definite Integrals: Average Value and Area Between Curves. Two Applications to Economics: Consumers' Surplus and Income Distribution. Integration by Substitution. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.
6. INTEGRATION TECHNIQUES. 
Integration by Parts. Integration Using Tables. Improper Integrals. Numerical Integration. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.
7. CALCULUS OF SEVERAL VARIABLES. 
Functions of Several Variables. Partial Derivatives. Optimizing Functions of Several Variables. Least Squares. Lagrange Multipliers and Constrained Optimization. Total Differentials, Approximate Changes, and Marginal Analysis. Multiple Integrals. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test. Cumulative Review for Chapters 1–7.
8. TRIGONOMETRIC FUNCTIONS. 
Triangles, Angles, and Radian Measure. Sine and Cosine Functions. Derivatives of Sine and Cosine Functions. Integrals of Sine and Cosine Functions. Other Trigonometric Functions. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.
9. DIFFERENTIAL EQUATIONS. 
Separation of Variables. Further Applications of Differential Equations: Three Models of Growth. First-Order Linear Differential Equations. Approximate Solutions of Differential Equations: Euler's Method. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.
10. SEQUENCES AND SERIES. 
Geometric Series. Taylor Polynomials. Taylor Series. Newton's Method. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.
11. PROBABILITY. 
Discrete Probability. Continuous Probability. Uniform and Exponential Random Variables. Normal Random Variables. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test. Cumulative Review for Chapters 1–11.
APPENDICES.
A. Graphing Calculator Basics.       
B. Algebra Review.                
C. Normal Probabilities from Tables.  
Answers to Selected Exercises.

Applied Calculus

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