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Finite Math and Applied Calculus

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ISBN-10: 1439049254

ISBN-13: 9781439049259

Edition: 5th 2011

Authors: Stefan Waner, Steven Costenoble

List price: $299.95
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Book details

List price: $299.95
Edition: 5th
Copyright year: 2011
Publisher: Brooks/Cole
Publication date: 1/22/2010
Binding: Hardcover
Pages: 1296
Size: 8.25" wide x 10.50" long x 1.75" tall
Weight: 5.610
Language: English

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 15 research papers in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day they continue to work together on their textbook projects, their research in algebraic topology, and their teaching.

Precalculus Review
Real Numbers
Exponents and Radicals
Multiplying and Factoring Algebraic Equations
Rational Expressions
Solving Polynomial Equations
Solving Miscellaneous Equations
The Coordinate Plane
Functions and Linear Models
Functions from the Numerical, Algebraic, and Graphical Viewpoints
Applications: Functions and Models
Linear Functions and Models
Linear Regression
Systems of Linear Equations and Matrices
Systems of Two Equations in Two Unknowns
Using Matrices to Solve Systems of Equations
Applications of Systems of Linear Equations
Matrix Algebra and Applications
Matrix Addition and Scalar Multiplication
Matrix Multiplication
Matrix Inversion
Game Theory
Input-Output Models
Linear Programming
Graphing Linear Inequalities
Solving Linear Programming Problems Graphically
The Simplex Method: Solving Standard Maximization Problems
The Simplex Method: Solving General Linear Programming Problems
The Simplex Method and Duality
The Mathematics of Finance
Simple Interest
Compound Interest
Annuities, Loans, and Bonds
Sets and Counting
Sets and Set Operations
The Addition and Multiplication Principles
Permutations and Combinations
Sample Spaces and Events
Relative Frequency
Probability and Probability Models
Probability and Counting Techniques
Conditional Probability and Independence
Bayes' Theorem and Applications
Markov Systems
Random Variables and Statistics
Random Variables and Distributions
Bernoulli Trials and Binomial Random Variables
Measures of Central Tendency
Measures of Dispersion
Normal Distributions
Nonlinear Functions and Models
Quadratic Functions and Models
Exponential Functions and Models
Logarithmic Functions and Models
Logistic Functions and Models
Introduction to the Derivative
Limits: Numerical and Graphical Approaches
Limits and Continuity
Limits: Algebraic Approach
Average Rate of Change
Derivatives: Numerical and Graphical Viewpoints
Derivatives: Algebraic Viewpoint
Techniques of Differentiation with Applications
Derivatives of Powers, Sums, and Constant Multiples
A First Application: Marginal Analysis
The Product and Quotient Rules
The Chain Rule
Derivatives of Logarithmic and Exponential Functions
Implicit Differentiation
Further Applications of the Derivative
Maxima and Minima
Applications of Maxima and Minima
Higher Order Derivatives: Acceleration and Concavity
Analyzing Graphs
Related Rates
The Integral
The Indefinite Integral
The Definite Integral: Numerical and Graphical Approaches
The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus
Further Integration Techniques and Applications of the Integral
Integration by Parts
Area Between Two Curves and Applications
Averages and Moving Averages
Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams
Improper Integrals and Applications
Differential Equations and Applications
Optional Internet Topic: Taylor Polynomials
Functions of Several Variables
Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
Partial Derivatives
Maxima and Minima
Constrained Maxima and Minima and Applications
Double Integrals and Applications
Trigonometric Models
Trigonometric Functions, Models, and Regression
Derivatives of Trigonometric Functions and Applications
Integrals of Trigonometric Functions and Applications
Table: Area Under a Normal Curve
Answers to Selected Exercises
Optional Internet Topic. S. Calculus Applied to Probability and Statistics
Continuous Random Variables and Histograms
Probability Density Functions: Uniform, Exponential, Normal, and Beta
Mean, Median, Variance and Standard Deviation
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