Mathematics with Applications In the Management, Natural, and Social Sciences, 13th edition

Margaret L. Lial
, Thomas W. Hungerford
, John P. Holcomb
, Bernadette Mullins

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Mathematics with Applications in the Management, Natural, and Social Sciences is an applications-focused text that helps you build a strong foundation with solid coverage of college algebra, followed by topics in finite mathematics, and finally a careful treatment of applied calculus. It can be used for a variety of courses across many majors, and only a basic background in algebra is required as a prerequisite. Helpful learning features like Checkpoint Exercises give you the opportunity to pause, check your understanding of a concept, and move forward confidently. Case Studies at the end of each chapter offer up-to-date, real-world applications of the mathematics presented in the chapter.

Among many other enhancements, the 13th Edition significantly updates applications and examples to make them as interesting as possible. Throughout, 884 new or updated exercises and 130 new examples modernize the data and exercises.

ISBN-13: 9780137892365

Subject: Finite Math & Applied Calculus

Category: Finite Math & Applied Calculus (Combined)

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 and Transformations
3.3 Applications of Linear Functions 
3.4 Quadratic Functions and Applications 
3.5 Polynomial Functions 
3.6 Rational Functions 
3.7 Composition of 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. The Mathematics of Personal Finance 

5.1 Simple and Compound Interest 
5.2 Annuities, Future Value, and Sinking Funds 
5.3 Consumer Loans and Amortization 
5.4 Bonds and Treasury Bills
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: Maximizing Profit

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: Logistic 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: The Method of Least Squares