Applied Mathematics for the Managerial, Life, and Social Sciences

ISBN-10: 0495559679

ISBN-13: 9780495559672

Edition: 5th 2010

Authors: Soo T. Tan
List price: $365.95 Buy it from $3.00 Rent it from $60.56
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Book details

List price: $365.95
Edition: 5th
Copyright year: 2010
Publisher: Brooks/Cole
Publication date: 12/2/2008
Binding: Hardcover
Pages: 1200
Size: 8.75" wide x 11.00" long x 1.25" tall
Weight: 5.060

Soo T. Tan has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension. This awareness led to the intuitive approach I have adopted in all of my texts."

Fundamentals of Algebra
Real Numbers
Polynomials
Factoring Polynomials
Rational Expressions
Integral Exponents
Solving Equations
Rational Exponents and Radicals
Quadratic Equations
Inequalities and Absolute Value
Functions and Their Graphs
The Cartesian Coordinate System and Straight Lines
Equations of Lines
Functions and Their Graphs
The Algebra of Functions
Linear Functions
Quadratic Functions
Functions and Mathematical Models
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Exponential Functions as Mathematical Models
Mathematics of Finance
Compound Interest
Annuities
Amortization and Sinking Funds
Arithmetic and Geometric Progressions )Optional)
Systems of Linear Equations and Matrices
Systems of Linear Equations: An Introduction
Systems of Linear Equations: Unique Solutions
Systems of Linear Equations: Undetermined and Overdetermined Systems
Matrices
Multiplication of Matrices
The Inverse of a Square Matrix
Linear Programming
Graphing Systems of Linear Inequalities in Two Variables
Linear Programming Problems
Graphical Solution of Linear Programming Problems
The Simplex Method: Standard Maximization Problems
The Simplex Method: Standard Minimization Problems
Sets and Probability
Sets and Set Operations
The Number of Elements in a Finite Set
The Multiplication Principle
Permutations and Combinations
Experiments, Sample Spaces, and Events
Probability
Rules of Probability
Additional Topics in Probability
Use of Counting Techniques in Probability
Conditional Probability and Independent Events
Bayes' Theorem
Distributions of Random Variables
Expected Value
Variance and Standard Deviation
The Derivative
Limits
Continuity
The Derivative
Basic Rules of Differentiation
The Product and Quotient Rules: Higher-Order Derivatives
The Chain Rule
Differentiation of Exponential and Logarithmic Functions
Marginal Functions in Economics
Applications of the Derivative
Applications of the First Derivative
Applications of the Second Derivative
Curve Sketching
Optimization
Optimization II
Integration
Antiderivatives and the Rules of Integration
Integration by Substitution
Area and the Definite Integral
The Fundamental Theorem of Calculus
Evaluating Definite Integrals
Area between Two Curves
Applications of the Definite Integral to Business and Economics
Calculus of Several Variables
Functions of Several Variables
Partial Derivatives
Maxima and Minima of Functions of Several Variables
Linear Inequalities in Two Variables
Linear Programming Problems
Graphical Solution of Linear Programming Problems
The Simplex Method: Standard Maximization Problems
The Simplex Method: Standard Minimization Problems
Sets and Probability
Sets and Set Operations
The Number of Elements in a Finite Set
The Multiplication Principle
Permutations and Combinations
Experiments, Sample Spaces, and Events
Probability
Rules of Probability
Additional topics in Probability
Use of Counting Techniques in Probability
Conditional Probability and Independent Events
Bayes' Theorem
Distributions of Random Variables
Expected Value
Variance and Standard Deviation
The Derivative
Limits
Continuity
The Derivative
Basic Rules of Differentiation
The Product and Quotient Rules: Higher-Order Derivatives
The Chain Rule
Differentiation of Exponential and Logarithmic Functions
Marginal Functions in Economics
Applications of the Derivative
Applications of the First Derivative
Applications of the Second Derivative
Curve Sketching
Optimization I
Optimization II
Integration
Antiderivatives and the Rules of Integration
Integration by Substitution
Area and the Definite Integral
The Fundamental Theorem of Calculus
Evaluating Definite Integrals
Area between Two Curves
Applications of the Definite Integral to Business and Economics
Calculus of Several Variables
Functions of Several Vari
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