Mathematics with Applications In the Management, Natural, and Social Sciences (12th Ed.)
Auteurs : Lial Margaret, Hungerford Thomas, Holcomb John, Mullins Bernadette
For freshman/sophomore, 2-semester or 2?3 quarter courses in Finite Math & Applied Calculus or Mathematics for Business.
A strong foundation and logical progression through finite math and calculus
The unique organization of Mathematics with Applications in the Management, Natural, and Social Sciencesgives students four chapters of college algebra, rather than the usual two, before moving into finite math and calculus. From there, the authors build upon familiar foundations and then move to new concepts; students are shown concrete examples before learning general rules and formulas.
With an ongoing focus on real-world problem solving, almost every section in the 12th Edition includes relevant, contemporary applications and fine-tuned pedagogical devices. A prior course in basic algebra is assumed.
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Prerequisite Skills Test
Calculus Readiness Test
1. Algebra and Equations
1.1 The Real Numbers
1.2 Polynomials
1.3 Factoring
1.4 Rational Expressions
1.5 Exponents and Radicals
1.6 First-Degree Equations
1.7 Quadratic Equations
Summary and Review
CASE STUDY 1. Energy Efficiency and Long-Term Cost Savings
2. Graphs, Lines, and Inequalities
2.1 Graphs
2.2 Equations of Lines
2.3 Linear Models
2.4 Linear Inequalities
2.5 Polynomial and Rational Inequalities
Summary and Review
CASE STUDY 2. Using Extrapolation and Interpolation for Prediction
3. Functions and Graphs
3.1 Functions
3.2 Graphs of Functions
3.3 Applications of Linear Functions
3.4 Quadratic Functions and Applications
3.5 Polynomial Functions
3.6 Rational Functions
Summary and Review
CASE STUDY 3. Maximizing Profit
4. Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Applications of Exponential Functions
4.3 Logarithmic Functions
4.4 Logarithmic and Exponential Equations
Summary and Review
CASE STUDY 4. Gapminder.org
5. Mathematics of Finance
5.1 Simple Interest and Discount
5.2 Compound Interest
5.3 Annuities, Future Value, and Sinking Funds
5.4 Annuities, Present Value, and Amortization
Summary and Review
CASE STUDY 5. Investing in Stocks and Using the Rule of 72
6. Systems of Linear Equations and Matrices
6.1 Systems of Two Linear Equations in Two Variables
6.2 Larger Systems of Linear Equations
6.3 Applications of Systems of Linear Equations
6.4 Basic Matrix Operations
6.5 Matrix Products and Inverses
6.6 Applications of Matrices
Summary and Review
CASE STUDY 6. Airline Route Maps
7. Linear Programming
7.1 Graphing Linear Inequalities in Two Variables
7.2 Linear Programming: The Graphical Method
7.3 Applications of Linear Programming
7.4 The Simplex Method: Maximization
7.5 Maximization Applications
7.6 The Simplex Method: Duality and Minimization
7.7 The Simplex Method: Nonstandard Problems
Summary and Review
CASE STUDY 7. Cooking with Linear Programming
8. Sets and Probability
8.1 Sets
8.2 Applications of Venn Diagrams and Contingency Tables
8.3 Introduction to Probability
8.4 Basic Concepts of Probability
8.5 Conditional Probability and Independent Events
8.6 Bayes’ Formula
Summary and Review
CASE STUDY 8. Medical Diagnosis
9. Counting, Probability Distributions, and Further Topics in Probability
9.1 Probability Distributions and Expected Value
9.2 The Multiplication Principle, Permutations, and Combinations
9.3 Applications of Counting
9.4 Binomial Probability
9.5 Markov Chains
9.6 Decision Making
Summary and Review
CASE STUDY 9. Quick Draw® from the New York State Lottery
10. Introduction to Statistics
10.1 Frequency Distributions
10.2 Measures of Center
10.3 Measures of Variation and Boxplots
10.4 Normal Distributions
Summary and Review
CASE STUDY 10. Standard Deviation as a Measure of Risk
11. Differential Calculus
11.1 Limits
11.2 One-Sided Limits and Limits Involving Infinity
11.3 Rates of Change
11.4 Tangent Lines and Derivatives
11.5 Techniques for Finding Derivatives
11.6 Derivatives of Products and Quotients
11.7 The Chain Rule
11.8 Derivatives of Exponential and Logarithmic Functions
11.9 Continuity and Differentiability
Summary and Review
CASE STUDY 11. Price Elasticity of Demand
12. Applications of the Derivative
12.1 Local Extrema
12.2 The Second Derivative
12.3 Optimization Applications
12.4 Implicit Differentiation
12.5 Related Rates
12.6 Curve Sketching
Summary and Review
CASE STUDY 12. A Total Cost Model for a Training Program
13. Integral Calculus
13.1 Antiderivatives
13.2 Integration by Substitution
13.3 Integration by Parts
13.4 Area and the Definite Integral
13.5 The Fundamental Theorem of Calculus
13.6 Applications of Integrals
13.7 Differential Equations
Summary and Review
CASE STUDY 13. Bounded Population Growth
14. Multivariate Calculus
14.1 Functions of Several Variables
14.2 Partial Derivatives
14.3 Extrema of Functions of Several Variables
14.4 Lagrange Multipliers
Summary and Review
CASE STUDY 14. Global Warming and the Method of Least Squares
Appendix A. Areas under the Normal Curve
Appendix B. Solutions to Prerequisite Skills Test and Calculus Readiness Test
Appendix C. Table of Integrals
Answers to Selected Exercises
Index of Companies, Products, and Agencies
Index of Applications
Subject Index
Photo Credits
Reference Endpapers:
• Algebra Review
• Geometric Formulas
• Finite Math Review
• Calculus Review
Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Lial's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Lial, who received bachelor's and master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often find their way into her books as applications, exercise sets, and feature sets. Her interest in archeology lead to trips to various digs and ruin sites, producing 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.
Thomas W. Hungerford (late) received his bachelor’s degree from Holy Cross and his PhD from the University of Chicago. He taught for many years at the University of Washington (Seattle) before moving to Cleveland State University in 1980 and then to St. Louis University to in 2003. He wrote a number of research articles in algebra and several in mathematics education. Dr. Hungerford is the author or coauthor of more than a dozen mathematics textbooks, ranging from high school to graduate level, several of which are published by Pearson. He passionately promoted the effective use of technology in mathematics instruction. Dr. Hungerford was also a referee and reviewer for various mathematical journals and served on National Science Foundation panels for selecting grant recipients.
John P. Holcomb, Jr. received his bachelor's degree from St. Bonaventure University and his PhD from the University at Albany, State University of New York. He is professor and chair and frequently publishes with researchers in a variety of disciplines where he provides statistical analysis. Dr. Holcomb
The authors incorporated a number of improvements to the 12th Edition after careful consideration and extensive feedback from those who teach the course regularly.
A strong foundation
- Strong algebra foundation – The text begins with four chapters of college algebra that can be used in a variety of ways based on the needs of the students and the goals of the course.
- Help for skill gaps – The Prerequisite Skills Test (for Chapters 1-4) and Calculus Readiness Test (for Chapters 11-4) at the front of the text can help students determine where remediation is needed. The text contains solutions to the test exercises to help students remediate any gaps in basic skills.
Pedagogy designed to help students progress through the content
- Multiple representations of a topic (symbolic, numerical, graphical, verbal) are provided when appropriate, resulting in a balanced approach to the presentation of new material. These alternatives are discussed only when they are likely to increase student understanding.
- A variety of exercise types – In addition to skill-based practice, conceptual, and application-based exercises, the text includes Writing Exercises, Connection Exercises, Graphing Calculator Exercises, and Spreadsheet Exercises.
- Example/exercise connection – Selected exercises include a reference to related example(s) within the section to facilitate what students do naturally when they use a book—that is, look for specific examples when they get stuck on a problem. Later exercises leave this information out and provide opportunities for mixed skill practice.
- Checkpoint exercises within the narrative provide an opportunity for students to stop, check their understanding of the
Date de parution : 01-2018
Ouvrage de 936 p.
21.8x27.7 cm
Disponible chez l'éditeur (délai d'approvisionnement : 12 jours).
Prix indicatif 223,26 €
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