Schaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition (Schaum's Outlines)

Cover
Title Page
Copyright Page
Preface
Contents
Chapter 1 Review
	1.1 Exponents
	1.2 Polynomials
	1.3 Factoring
	1.4 Fractions
	1.5 Radicals
	1.6 Order of Mathematical Operations
	1.7 Use of a Pocket Calcular
Chapter 2 Equations and Graphs
	2.1 Equations
	2.2 Cartesian Coordinate System
	2.3 Linear Equations and Graphs
	2.4 Slopes
	2.5 Intercepts
	2.6 The Slope-Intercept Form
	2.7 Determining the Equation of a Straight-Line
	2.8 Applications of Linear Equations in Business and Economics
Chapter 3 Functions
	3.1 Concepts and Definitions
	3.2 Graphing Functions
	3.3 The Algebra of Functions
	3.4 Applications of Linear Functions for Business and Economics
	3.5 Solving Quardratic Equations
	3.6 Facilitating Nonlinear Graphing
	3.7 Applications of Nonlinear Functions in Business and Economics
Chapter 4 System of Equations
	4.1 Introduction
	4.2 Graphical Solutions
	4.3 Supply-and-Demand Analysis
	4.4 Break-Even Analysis
	4.5 Elimination and Substitution Methods
	4.6 Income Determination Models
	4.7 IS-LM Analysis
	4.8 Economic and Mathematical Modeling (Optional)
	4.9 Implicit Functions and Inverse Functions (Optional)
Chapter 5 Linear (or Matrix) Algebra
	5.1 Introduction
	5.2 Definitions and Terms
	5.3 Addition and Subtraction of Matrices
	5.4 Scalar Multiplication
	5.5 Vector Multiplication
	5.6 Multiplication of Matrices
	5.7 Matrix Expression of a System of Linear Equations
	5.8 Augmented Matrix
	5.9 Row Operations
	5.10 Gaussian Method of Solving Linear Equations
Chapter 6 Solving Linear Equations with Matrix Algebra
	6.1 Determinants and Linear Independence
	6.2 Third-Order Determinants
	6.3 Cramer’s Rule for Solving Linear Equations
	6.4 Inverse Matrices
	6.5 Gaussian Method of Finding an Inverse Matrix
	6.6 Solving Linear Equations with an Inverse Matrix
	6.7 Business and Economic Applications
	6.8 Special Determinants
Chapter 7 Linear Programming: Using Graphs
	7.1 Use of Graphs
	7.2 Maximization Using Graphs
	7.3 The Extreme-Point Theorem
	7.4 Minimization Using Graphs
	7.5 Slack and Surplus Variables
	7.6 The Basis Theorem
Chapter 8 Linear Programming: The Simplex Algorithm and the Dual
	8.1 The Simplex Algorithm
	8.2 Maximization
	8.3 Marginal Value or Shadow Pricing
	8.4 Minimization
	8.5 The Dual
	8.6 Rules of Transformation to Obtain the Dual
	8.7 The Dual Theorems
	8.8 Shadow Prices in the Dual
	8.9 Integer Programming .
	8.10 Zero-One Programming
Chapter 9 Differential Calculus: The Derivative and the Rules of Differentiation
	9.1 Limits
	9.2 Continuity
	9.3 The Slope of a Curvilinear Function
	9.4 The Derivative
	9.5 Differentiability and Continuity
	9.6 Derivative Notation
	9.7 Rules of Differentiation
	9.8 Higher-Order Derivatives
	9.9 Implicit Functions
Chapter 10 Differential Calculus: Uses of the Derivative
	10.1 Increasing and Decreasing Functions
	10.2 Concavity and Convexity
	10.3 Relative Extrema
	10.4 Inflection Points
	10.5 Curve Sketching
	10.6 Optimization of Functions
	10.7 The Successive-Derivative Test
	10.8 Marginal Concepts in Economics
	10.9 Optimizing Economic Functions for Business
	10.10 Relationships Among Total, Marginal, and Average Functions
Chapter 11 Exponential and Logarithmic Functions
	11.1 Exponential Functions
	11.2 Logarithmic Functions
	11.3 Properties of Exponents and Logarithms
	11.4 Natural Exponential and Logarithmic Functions
	11.5 Solving Natural Exponential and Logarithmic Functions
	11.6 Logarithmic Transformation of Nonlinear Functions
	11.7 Derivatives of Natural Exponential and Logarithmic Functions
	11.8 Interest Compounding
	11.9 Estimating Growth Rates from Data Points
Chapter 12 Integral Calculus
	12.1 Integration
	12.2 Rules for Indefinite Integrals
	12.3 Area Under a Curve
	12.4 The Definite Integral
	12.5 The Fundamental Theorem of Calculus
	12.6 Properties of Definite Integrals
	12.7 Area Between Curves
	12.8 Integration by Substitution
	12.9 Integration by Parts
	12.10 Present Value of a Cash Flow
	12.11 Consumers’ and Producers’ Surplus
Chapter 13 Calculus of Multivariable Functions
	13.1 Functions of Several Independent Variables
	13.2 Partial Derivatives
	13.3 Rules of Partial Differentiation
	13.4 Second-Order Partial Derivatives
	13.5 Optimization of Multivariable Functions
	13.6 Constrained Optimization with Lagrange Multipliers
	13.7 Income Determination Multipliers
	13.8 Optimizing Multivariable Functions in Business and Economics
	13.9 Constrained Optimization of Multivariable Economic Functions
	13.10 Constrained Optimization of Cobb-Douglas Production Functions
	13.11 Implicit and Inverse Function Rules (Optional)
Chapter 14 Sequences and Series
	14.1 Sequences
	14.2 Representation of Elements
	14.3 Series and Summations
	14.4 Property of Summations
	14.5 Special Formulas of Summations
	14.6 Economics Applications: Mean and Variance
	14.7 Infinite Series
	14.8 Finance Applications: Net Present Value
Excel Practice A
Excel Practice B
Additional Practice Problems
Additional Practice Problems: Solutions
Index