Finite Mathematics and Applied Calculus 7th edition

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• Chapter 1: Functions and Applications
  • 1.1: Functions from the Numerical, Algebraic, and Graphical Viewpoints
  • 1.2: Functions and Models
  • 1.3: Linear Functions and Models
  • 1.4: Linear Regression
  • 1: Review Exercises
  
  
• Chapter 2: Nonlinear Functions and Models
  • 2.1: Quadratic Functions and Models
  • 2.2: Exponential Functions and Models
  • 2.3: Logarithmic Functions and Models
  • 2.4: Logistic Functions and Models
  • 2: Review Exercises
  
  
• Chapter 3: The Mathematics of Finance
  • 3.1: Simple Interest
  • 3.2: Compound Interest
  • 3.3: Annuities, Loans, and Bonds
  • 3: Review Exercises
  
  
• Chapter 4: Systems of Linear Equations and Matrices
  • 4.1: Systems of Two Equations in Two Unknowns
  • 4.2: Using Matrices to Solve Systems of Equations
  • 4.3: Applications of Systems of Linear Equations
  • 4: Review Exercises
  
  
• Chapter 5: Matrix Algebra and Applications
  • 5.1: Matrix Addition and Scalar Multiplication
  • 5.2: Matrix Multiplication
  • 5.3: Matrix Inversion
  • 5.4: Game Theory
  • 5.5: Input-Output Models
  • 5: Review Exercises
  
  
• Chapter 6: Linear Programming
  • 6.1: Graphing Linear Inequalities
  • 6.2: Solving Linear Programming Problems Graphically
  • 6.3: The Simplex Method: Solving Standard Maximization Problems
  • 6.4: The Simplex Method: Solving General Linear Programming Problems
  • 6.5: The Simplex Method and Duality
  • 6: Review Exercises
  
  
• Chapter 7: Sets and Counting
  • 7.1: Sets and Set Operations
  • 7.2: Cardinality
  • 7.3: Decision Algorithms: The Addition and Multiplication Principles
  • 7.4: Permutations and Combinations
  • 7: Review Exercises
  
  
• Chapter 8: Probability
  • 8.1: Sample Spaces and Events
  • 8.2: Relative Frequency
  • 8.3: Probability and Probability Models
  • 8.4: Probability and Counting Techniques
  • 8.5: Conditional Probability and Independence
  • 8.6: Bayes' Theorem and Applications
  • 8.7: Markov Systems
  • 8: Review Exercises
  
  
• Chapter 9: Random Variables and Statistics
  • 9.1: Random Variables and Distributions
  • 9.2: Bernoulli Trials and Binomial Random Variables
  • 9.3: Measures of Central Tendency
  • 9.4: Measures of Dispersion
  • 9.5: Normal Distributions
  • 9: Review Exercises
  
  
• Chapter 10: Introduction to the Derivative
  • 10.1: Limits: Numerical and Graphical Viewpoints
  • 10.2: Limits and Continuity
  • 10.3: Limits and Continuity: Algebraic Viewpoint
  • 10.4: Average Rate of Change
  • 10.5: The Derivative: Numerical and Graphical Viewpoints
  • 10.6: The Derivative: Algebraic Viewpoint
  • 10: Review Exercises
  
  
• Chapter 11: Techniques of Differentiation with Applications
  • 11.1: Derivatives of Powers, Sums, and Constant Multiples
  • 11.2: A First Application: Marginal Analysis
  • 11.3: The Product and Quotient Rules
  • 11.4: The Chain Rule
  • 11.5: Derivatives of Logarithmic and Exponential Functions
  • 11.6: Implicit Differentiation
  • 11: Review Exercises
  
  
• Chapter 12: Further Applications of the Derivative
  • 12.1: Maxima and Minima
  • 12.2: Applications of Maxima and Minima
  • 12.3: Higher Order Derivatives: Acceleration and Concavity
  • 12.4: Analyzing Graphs
  • 12.5: Related Rates
  • 12.6: Elasticity
  • 12: Review Exercises
  
  
• Chapter 13: The Integral
  • 13.1: The Indefinite Integral
  • 13.2: Substitution
  • 13.3: The Definite Integral: Numerical and Graphical Viewpoints
  • 13.4: The Definite Integral: Algebraic Viewpoint and the Fundamental Theorem of Calculus
  • 13: Review Exercises
  
  
• Chapter 14: Further Integration Techniques and Applications of the Integral
  • 14.1: Integration by Parts
  • 14.2: Area between Two Curves and Applications
  • 14.3: Averages and Moving Averages
  • 14.4: Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams
  • 14.5: Improper Integrals and Applications
  • 14.6: Differential Equations and Applications
  • 14: Review Exercises
  
  
• Chapter 15: Functions of Several Variables
  • 15.1: Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
  • 15.2: Partial Derivatives
  • 15.3: Maxima and Minima
  • 15.4: Constrained Maxima and Minima and Applications
  • 15.5: Double Integrals and Applications
  • 15: Review Exercises
  
  
• Chapter 16: Trigonometric Models
  • 16.1: Trigonometric Functions, Models, and Regression
  • 16.2: Derivatives of Trigonometric Functions and Applications
  • 16.3: Integrals of Trigonometric Functions and Applications
  • 16: Review Exercises
  
  
• Chapter 0: Precalculus Review
  • 0.1: Real Numbers
  • 0.2: Exponents and Radicals
  • 0.3: Multiplying and Factoring Algebraic Expressions
  • 0.4: Rational Expressions
  • 0.5: Solving Polynomial Equations
  • 0.6: Solving Miscellaneous Equations
  • 0.7: The Coordinate Plane
  • 0.8: Logarithms
  
  
• Chapter A: Appendix A: Logic
  • A.A: Logic