Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, Fourteenth Edition, 14/e

CHAPTER 0 Review of Algebra 0.1 Sets of Real Numbers 0.2 Some Properties of Real Numbers 0.3 Exponents and Radicals 0.4 Operations with Algebraic Expressions 0.5 Factoring 0.6 Fractions 0.7 Equations, in Particular Linear Equations 0.8 Quadratic Equations Chapter 0 Review CHAPTER 1 Applications and More Algebra 1.1 Applications of Equations 1.2 Linear Inequalities 1.3 Applications of Inequalities 1.4 Absolute Value 1.5 Summation Notation 1.6 Sequences Chapter 1 Review CHAPTER 2 Functions and Graphs 2.1 Functions 2.2 Special Functions 2.3 Combinations of Functions 2.4 Inverse Functions 2.5 Graphs in Rectangular Coordinates 2.6 Symmetry 2.7 Translations and Reflections 2.8 Functions of Several Variables Chapter 2 Review CHAPTER 3 Lines, Parabolas, and Systems 3.1 Lines 3.2 Applications and Linear Functions 3.3 Quadratic Functions 3.4 Systems of Linear Equations 3.5 Nonlinear Systems 3.6 Applications of Systems of Equations Chapter 3 Review CHAPTER 4 Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Properties of Logarithms 4.4 Logarithmic and Exponential Equations Chapter 4 Review CHAPTER 5 Mathematics of Finance 5.1 Compound Interest 5.2 Present Value 5.3 Interest Compounded Continuously 5.4 Annuities 5.5 Amortization of Loans 5.6 Perpetuities Chapter 5 Review CHAPTER 6 Matrix Algebra 6.1 Matrices 6.2 Matrix Addition and Scalar Multiplication 6.3 Matrix Multiplication 6.4 Solving Systems by Reducing Matrices 6.5 Solving Systems by Reducing Matrices (continued) 6.6 Inverses 6.7 Leontiefs Input--Output Analysis Chapter 6 Review CHAPTER 7 Linear Programming 7.1 Linear Inequalities in Two Variables 7.2 Linear Programming 7.3 The Simplex Method 7.4 Artificial Variables 7.5 Minimization 7.6 The Dual Chapter 7 Review CHAPTER 8 Introduction to Probability and Statistics 8.1 Basic Counting Principle and Permutations 8.2 Combinations and Other Counting Principles 8.3 Sample Spaces and Events 8.4 Probability 8.5 Conditional Probability and Stochastic Processes 8.6 Independent Events 8.7 Bayes Formula Chapter 8 Review CHAPTER 9 Additional Topics in Probability 9.1 Discrete Random Variables and Expected Value 9.2 The Binomial Distribution 9.3 Markov Chains Chapter 9 Review CHAPTER 10 Limits and Continuity 10.1 Limits 10.2 Limits (Continued) 10.3 Continuity 10.4 Continuity Applied to Inequalities Chapter 10 Review CHAPTER 11 Differentiation 11.1 The Derivative 11.2 Rules for Differentiation 11.3 The Derivative as a Rate of Change 11.4 The Product Rule and the Quotient Rule 11.5 The Chain Rule Chapter 11 Review CHAPTER 12 Additional Differentiation Topics 12.1 Derivatives of Logarithmic Functions 12.2 Derivatives of Exponential Functions 12.3 Elasticity of Demand 12.4 Implicit Differentiation 12.5 Logarithmic Differentiation 12.6 Newtons Method 12.7 Higher-Order Derivatives Chapter 12 Review CHAPTER 13 Curve Sketching 13.1 Relative Extrema 13.2 Absolute Extrema on a Closed Interval 13.3 Concavity 13.4 The Second-Derivative Test 13.5 Asymptotes 13.6 Applied Maxima and Minima Chapter 13 Review CHAPTER 14 Integration 14.1 Differentials 14.2 The Indefinite Integral 14.3 Integration with Initial Conditions 14.4 More Integration Formulas 14.5 Techniques of Integration 14.6 The Definite Integral 14.7 The Fundamental Theorem of Calculus Chapter 14 Review CHAPTER 15 Applications of Integration 15.1 Integration by Tables 15.2 Approximate Integration 15.3 Area Between Curves 15.4 Consumers and Producers Surplus 15.5 Average Value of a Function 15.6 Differential Equations 15.7 More Applications of Differential Equations 15.8 Improper Integrals Chapter 15 Review CHAPTER 16 Continuous Random Variables 16.1 Continuous Random Variables 16.2 The Normal Distribution 16.3 The Normal Approximation to the Binomial Distribution Chapter 16 Review CHAPTER 17 Multivariable Calculus 17.1 Partial Derivatives 17.2 Applications of Partial Derivatives 17.3 Higher-Order Partial Derivatives 17.4 Maxima and Minima for Functions of Two Variables 17.5 Lagrange Multipliers 17.6 Multiple Integrals Chapter 17 Review