Schaum's outline of mathematical methods for business and economics /
Edward T. Dowling.
- New York : McGraw Hill, c1993.
- ix, 384 p. : ill. ; 28 cm.
- Schaum's outline series. .
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 Calculator
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 Quadratic Equations 3.6 Facilitating Nonlinear Graphing 3.7 Applications of Nonlinear Functions in Business and Economics
Chapter 4 Systems 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 Relationship 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 3.10 Constrained Optimization of Cobb-Douglas Production Functions 13.11 Implicit and Inverse Function Rules (Optional)