Schaum’s Outline of Mathematical Methods for Business, Economics and Finance, 2nd Edition
The most useful tool for reviewing mathematical methods for business and economics classes―now with more content
Schaum’s Outline of Mathematical Methods for Business, Economics and Finance, Second Edition is the go-to study guide for students enrolled in business and economics courses that require a variety of mathematical skills. No mathematical proficiency beyond the high school level is assumed, enabling students to progress at their own rate and adapt the book to their own needs.
With an outline format that facilitates quick and easy review, this guide helps you understand basic concepts and get the extra practice you need to excel in business and economics courses. Schaum’s Outline of Mathematical Methods for Business, Economics and Finance, Second Edition supports the bestselling textbooks and is ideal study aid for classes such as Calculus for Business, Applied Calculus, Calculus for Social Sciences and Calculus for Economics. Chapters include Equations and Graphs, Functions, Systems of Equations, Linear (or Matrix) Algebra, Linear Programming, Differential Calculus, Exponential and Logarithmic Functions, Integral Calculus, Calculus of Multivariable Functions, and more.
- NEW in this edition: Additional problems at the end of each chapter
- NEW in this edition: An additional chapter on sequences and series
- NEW in this edition: Three computer applications of Linear Programming in Excel
- More than 1,000 fully solved problems
- Outline format to provide a concise guide for study
- Clear, concise explanations covers all course fundamentals
- Supplements the major bestselling textbooks in economics courses
- Appropriate for the following courses: Calculus for Business, Applied Calculus, Calculus for Social Sciences, Calculus for Economics
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
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