Finite Mathematics and Calculus with Applications / Edition 9by Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Pub. Date: 11/18/2011
Finite Mathematics and Calculus with Applications, Tenth 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/b>/i>… See more details below
Finite Mathematics and Calculus with Applications, Tenth 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.
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Table of ContentsR. Algebra Reference.
R.3 Rational Expressions.
1. Linear Functions.
1.2 Linear Functions and Applications.
1.3 The Least Squares Line.
2. Systems of Linear Equations and Matrices.
2.2 Solution of Linear Systems by the Gauss-Jordan Method.
2.3 Addition and Subtraction of Matrices.
2.4 Multiplication of Matrices.
2.5 Matrix Inverses.
2.6 Input-Output Models.
3. Linear Programming: The Graphical Method.
3.2 Solving Linear Programming Problems Graphically.
3.3 Applications of Linear Programming.
4. Linear Programming: The Simplex Method.
4.2 Maximization Problems.
4.3 Minimization Problems; Duality.
4.4 Nonstandard Problems.
5. Mathematics of Finance.
5.2 Future Value of an Annuity.
5.3 Present Value of an Annuity; Amortization.
6.2 Truth Tables and Equivalent Statements.
6.3 The Conditional and Circuits.
6.4 More on the Conditional.
6.5 AnalyzingArguments with Euler Diagrams.
6.6 Analyzing Arguments with Truth Tables.
7. Sets and Probability.
7.2 Applications of Venn Diagrams.
7.3 Introduction to Probability.
7.4 Basic Concepts of Probability.
7.5 Conditional Probability; Independent Events.
7.6 Bayes' Theorem.
8. Counting Principles; Further Probability Topics.
8.3 Probability Applications of Counting Principles.
8.4 Binomial Probability.
8.5 Probability Distributions; Expected Value.
9.2 Measures of Variation.
9.3 The Normal Distribution.
9.4 Normal Approximation to the Binomial Distribution.
10. Nonlinear Functions.
10.2 Quadratic Functions; Translation and Reflection.
10.3 Polynomial and Rational Functions.
10.4 Exponential Functions.
10.5 Logarithmic Functions.
10.6 Applications: Growth and Decay; Mathematics of Finance.
11. The Derivative.
11.3 Rates of Change.
11.4 Definition of the Derivative.
11.5 Graphical Differentiation.
12. Calculating the Derivative.
12.2 Derivatives of Products and Quotients.
12.3 The Chain Rule.
12.4 Derivatives of Exponential Functions.
12.5 Derivatives of Logarithmic Functions.
13. Graphs and the Derivative.
13.2 Relative Extrema.
13.3 Higher Derivatives, Concavity, and the Second Derivative Test.
13.4 Curve Sketching.
14. Applications of the Derivative.
14.2 Applications of Extrema.
14.3 Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand.
14.4 Implicit Differentiation.
14.5 Related Rates.
14.6 Differentials: Linear Approximation.
15.3 Area and the Definite Integral.
15.4 The Fundamental Theorem of Calculus.
15.5 The Area Between Two Curves.
15.6 Numerical Integration.
16. Further Techniques and Applications of Integration.
16.2 Volume and Average Value.
16.3 Continuous Money Flow.
16.4 Improper Integrals.
16.5 Solutions of Elementary and Separable Differential Equations.
17. Multivariable Calculus.
17.2 Partial Derivatives.
17.3 Maxima and Minima.
17.4 Lagrange Multipliers.
17.5 Total Differentials and Approximations.
17.6 Double Integrals.
18. Probability and Calculus.
18.2 Expected Value and Variance of Continuous Random Variables.
18.3 Special Probability Density Functions.
Table 2: Area Under a Normal Curve.
Table 3: Integrals.
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