Last edition Elsevier For freshman/sophomore, 2-semester (2-3 quarter) courses covering applied calculus for students in business, economics, social sciences, or life sciences.
Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added «help text» within examples.
Last Edition
ISBN 13: 9781292108971
Imprint: Pearson Education Limited
Language: English
Authors: Margaret L. Lial
Pub Date: 10/2016
Pages: 864
Illus: Illustrated
Weight: 1,680.00 grams
Size: h 218 x 271 mm
Product Type: Softcover
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- • Apply It opens most sections with a provocative, real-world oriented question that is addressed in the exposition and exercises.
- • Applied exercises are grouped by type of application and highlighted for easy identification.
- • Extended Applications appear at the end of all chapters to stimulate student interest and foster in-depth learning. Directions for Group Projects in the Extended Applications provide an opportunity for cooperative learning.
- • NEW! An Integrated Review version of the course contains pre-assigned diagnostic and remediation resources for key prerequisite skills. Skills Check Quizzes help diagnose gaps in skills prior to each chapter. MyMathLab then provides personalized help on only those skills that a student has not mastered.
- • Personalized Homework functionality allows instructors to create homework assignments based on the results of student assessments.
- • Tutorial videos for every section of the textbook cover important concepts and terms, and are easily accessible for students who miss lecture. NEW! Videos are available as full-length lectures and as shorter, assignable video clips that focus on a specific concept or example.
- Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Her desire to educate both her students and herself inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was most recently affiliated with American River College. An avid reader and traveler, Marge’s travel experiences often find their way into her books as applications, exercise sets, and feature sets. She was particularly interested in archeology. Trips to various digs and ruin sites produced some fascinating problems for her textbooks, involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
- R. Algebra Reference
- R-1 Polynomials
- R-2 Factoring
- R-3 Rational Expressions
- R-4 Equations
- R-5 Inequalities
- R-6 Exponents
- R-7 Radicals
- 1. Linear Functions
- 1-1 Slopes and Equations of Lines 1-2 Linear Functions and Applications 1-3 The Least Squares Line Chapter Review Extended Application: Using Extrapolation to Predict Life Expectancy
- 2. Nonlinear Functions
- 2-1 Properties of Functions 2-2 Quadratic Functions; Translation and Reflection 2-3 Polynomial and Rational Functions 2-4 Exponential Functions 2-5 Logarithmic Functions 2-6 Applications: Growth and Decay; Mathematics of Finance Chapter Review Extended Application: Characteristics of the Monkeyface Prickleback
- 3. The Derivative
- 3-1 Limits 3-2 Continuity 3-3 Rates of Change 3-4 Definition of the Derivative 3-5 Graphical Differentiation Chapter 3 Review Extended Application: A Model for Drugs Administered Intravenously
- 4. Calculating the Derivative
- 4-1 Techniques for Finding Derivatives 4-2 Derivatives of Products and Quotients 4-3 The Chain Rule 4-4 Derivatives of Exponential Functions 4-5 Derivatives of Logarithmic Functions Chapter Review Extended Application: Electric Potential and Electric Field
- 5. Graphs and the Derivative
- 5-1 Increasing and Decreasing Functions 5-2 Relative Extrema 5-3 Higher Derivatives, Concavity, and the Second Derivative Test 5-4 Curve Sketching Chapter Review Extended Application: A Drug Concentration Model for Orally Administered Medications
- 6. Applications of the Derivative
- 6-1 Absolute Extrema 6-2 Applications of Extrema 6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand 6-4 Implicit Differentiation 6-5 Related Rates 6-6 Differentials: Linear Approximation Chapter Review Extended Application: A Total Cost Model for a Training Program
- 7. Integration
- 7-1 Antiderivatives 7-2 Substitution 7-3 Area and the Definite Integral 7-4 The Fundamental Theorem of Calculus 7-5 The Area Between Two Curves 7-6 Numerical Integration Chapter Review Extended Application: Estimating Depletion Dates for Minerals
- 8. Further Techniques and Applications of Integration
- 8-1 Integration by Parts 8-2 Volume and Average Value 8-3 Continuous Money Flow 8-4 Improper Integrals Chapter Review Extended Application: Estimating Learning Curves in Manufacturing with Integrals
- 9. Multivariable Calculus
- 9-1 Functions of Several Variables 9-2 Partial Derivatives 9-3 Maxima and Minima 9-4 Lagrange Multipliers 9-5 Total Differentials and Approximations 9-6 Double Integrals Chapter Review Extended Application: Using Multivariable Fitting to Create a Response Surface Design
- 10. Differential Equations
- 10-1 Solutions of Elementary and Separable Differential Equations 10-2 Linear First-Order Differential Equations 10-3 Euler's Method 10-4 Applications of Differential Equations Chapter Review Extended Application: Pollution of the Great Lakes
- 11. Probability and Calculus
- 11-1 Continuous Probability Models 11-2 Expected Value and Variance of Continuous Random Variables 11-3 Special Probability Density Functions Chapter Review Extended Application: Exponential Waiting Times
- 12. Sequences and Series
- 12-1 Geometric Sequences 12-2 Annuities: An Application of Sequences 12-3 Taylor Polynomials 12-4 Infinite Series 12-5 Taylor Series 12-6 Newton's Method 12-7 L'Hospital's Rule Chapter Review
- 13. The Trigonometric Functions
- 13-1 Definitions of the Trigonometric Functions 13-2 Derivatives of Trigonometric Functions 13-3 Integrals of Trigonometric Functions Chapter Review Extended Application: The Shortest Time and the Cheapest Path
- Tables
- Table 1 Formulas of Geometry Table 2 Area Under a Normal Curve Table 3 Integrals Table 4 Integrals Involving Trigonometric Functions
- Answers to Selected Exercises
- Photo Acknowledgements
- Index
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