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Finite Mathematics and Calculus with Applications

Finite Mathematics and Calculus with Applications - 6th edition

ISBN13: 978-0321220370

Cover of Finite Mathematics and Calculus with Applications 6TH 02 (ISBN 978-0321220370)
ISBN13: 978-0321220370
ISBN10: 0321220374
Cover type:
Edition/Copyright: 6TH 02
Publisher: Addison-Wesley Longman, Inc.
Published: 2002
International: No

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Finite Mathematics and Calculus with Applications - 6TH 02 edition

ISBN13: 978-0321220370

Margaret Lial, Raymond Greenwell and Nathan Ritchey

ISBN13: 978-0321220370
ISBN10: 0321220374
Cover type:
Edition/Copyright: 6TH 02
Publisher: Addison-Wesley Longman, Inc.

Published: 2002
International: No
Summary

Finite Mathematics and Calculus With Applications was written for the two-semester finite math and applied calculus course for students majoring in a variety of fields--business, economics, social science, and biological and physical science. Widely known for incorporating interesting, relevant, and realistic applications, this new edition now offers many more real applications citing current data sources. The new edition now offers more opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. A dedicated Web site rounds out the teaching and learning package, offering extended applications from the book, skill mastery quizzes, and graphing calculator programs tied to the text.

Author Bio

Lial, Margaret L. : American River College


Greenwell, Raymond N. : Hofstra University


Ritchey, Nathan P. : Youngstown State University

Table of Contents

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.


2. Systems of Linear Equations and Matrices.

2.1 Solution of Linear Systems by the Echelon Method.
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.

3.1 Graphing Linear Inequalities.
3.2 Solving Linear Programming Problems Graphically.
3.3 Applications of Linear Programming.


4. Linear Programming: The Simplex Method.

4.1 Slack Variables and the Pivot.
4.2 Maximization Problems.
4.3 Minimization Problems; Duality.
4.4 Nonstandard Problems.


5. Mathematics of Finance.

5.1 Simple and Compound Interest.
5.2 Future Value of an Annuity.
5.3 Present Value of an Annuity; Amortization.


6. Logic.

6.1 Statements and Quantifiers.
6.2 Truth Tables and Equivalent Statements.
6.3 The Conditional and Circuits.
6.4 More on the Conditional.
6.5 Analyzing Arguments with Euler Diagrams.
6.6 Analyzing Arguments with Truth Tables.


7. Sets and Probability.

7.1 Sets.
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.

8.1 The Multiplication Principle; Permutations.
8.2 Combinations.
8.3 Probability Applications of Counting Principles.
8.4 Binomial Probability.
8.5 Probability Distributions; Expected Value.


9. Statistics.

9.1 Frequency Distributions; Measures of Central Tendency.
9.2 Measures of Variation.
9.3 The Normal Distribution.
9.4 Normal Approximation to the Binomial Distribution.


10. Nonlinear Functions.

10.1 Properties of 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.

11.1 Limits.
11.2 Continuity.
11.3 Rates of Change.
11.4 Definition of the Derivative.
11.5 Graphical Differentiation.


12. Calculating the Derivative.

12.1 Techniques for Finding Derivatives.
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.

13.1 Increasing and Decreasing Functions.
13.2 Relative Extrema.
13.3 Higher Derivatives, Concavity, and the Second Derivative Test.
13.4 Curve Sketching.


14. Applications of the Derivative.

14.1 Absolute Extrema.
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. Integration.

15.1 Antiderivatives.
15.2 Substitution.
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.

16.1 Integration by Parts.
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.

17.1 Functions of Several Variables.
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.

18.1 Continuous Probability Models.
18.2 Expected Value and Variance of Continuous Random Variables.
18.3 Special Probability Density Functions.


Tables.

Table 1: Formulas from Geometry.
Table 2: Area Under a Normal Curve.
Table 3: Integrals.

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