College Algebra and Calculus: An Applied Approach 2nd edition

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• Chapter 0: Fundamental Concepts of Algebra
  • 0.1: Real Numbers: Order and Absolute Value
  • 0.2: The Basic Rules of Algebra
  • 0.3: Integer Exponents
  • 0.4: Radicals and Rational Exponents
  • 0.5: Polynomials and Special Products
  • 0.6: Factoring
  • 0.7: Fractional Expressions
  • Review Exercises
  • Test Yourself
  
  
• Chapter 1: Equations and Inequalities
  • 1.1: Linear Equations
  • 1.2: Mathematical Modeling
  • 1.3: Quadratic Equations
  • 1.4: The Quadratic Formula
  • 1.5: Other Types of Equations
  • 1.6: Linear Inequalities
  • 1.7: Other Types of Inequalities
  • Review Exercises
  • Test Yourself
  
  
• Chapter 2: Functions and Graphs
  • 2.1: Graphs of Equations
  • 2.2: Lines in the Plane
  • 2.3: Linear Modeling and Direct Variation
  • 2.4: Functions
  • 2.5: Graphs of Functions
  • 2.6: Transformations of Functions
  • 2.7: The Algebra of Functions
  • Review Exercises
  • Test Yourself
  
  
• Chapter 3: Polynomial and Rational Functions
  • 3.1: Quadratic Functions and Models
  • 3.2: Polynomial Functions of Higher Degree
  • 3.3: Polynomial Division
  • 3.4: Real Zeros of Polynomials Functions
  • 3.5: Complex Numbers
  • 3.6: The Fundamental Theorem of Algebra
  • 3.7: Rational Functions
  • Review Exercises
  • Test Yourself
  
  
• Chapter 4: Exponential and Logarithmic Functions
  • 4.1: Inverse Functions
  • 4.2: Exponential Functions
  • 4.3: Logarithmic Functions
  • 4.4: Properties of Logarithms
  • 4.5: Solving Exponential and Logarithmic Equations
  • 4.6: Exponential and Logarithmic Models
  • Review Exercises
  • Test Yourself
  
  
• Chapter 5: Systems of Equations and Inequalities
  • 5.1: Solving Systems Using Substitution
  • 5.2: Solving Systems Using Elimination
  • 5.3: Linear Systems in Three or More Variables
  • 5.4: Systems of Inequalities
  • 5.5: Linear Programming
  • Review Exercises
  • Test Yourself
  
  
• Chapter 6: Matrices and Determinants
  • 6.1: Matrices and Linear Systems
  • 6.2: Operations with Matrices
  • 6.3: The Inverse of a Square-Matrix
  • 6.4: The Determinant of a Square-Matrix
  • 6.5: Applications of Matrices and Determinants
  • Review Exercises
  • Test Yourself
  
  
• Chapter 7: Limits and Derivatives
  • 7.1: Limits
  • 7.2: Continuity
  • 7.3: The Derivative and the Slope of a Graph
  • 7.4: Some Rules for Differentiation
  • 7.5: Rates of Change: Velocity and Marginals
  • 7.6: The Product and Quotient Rules
  • 7.7: The Chain Rule
  • Review Exercises
  • Test Yourself
  
  
• Chapter 8: Applications of the Derivative
  • 8.1: Higher-Order Derivatives
  • 8.2: Implicit Differentiation
  • 8.3: Related Rates
  • 8.4: Increasing and Decreasing Functions
  • 8.5: Extrema and the First-Derivative Test
  • 8.6: Concavity and the Second-Derivative Test
  • Review Exercises
  • Test Yourself
  
  
• Chapter 9: Further Applications of the Derivative
  • 9.1: Optimization Problems
  • 9.2: Business and Economic Applications
  • 9.3: Asymptotes
  • 9.4: Curve-Sketching: A Summary
  • 9.5: Differentials and Marginal Analysis
  • Review Exercises
  • Test Yourself
  
  
• Chapter 10: Derivatives of Exponential and Logarithmic Functions
  • 10.1: Exponential Functions
  • 10.2: Natural Exponential Functions
  • 10.3: Derivatives of Exponential Functions
  • 10.4: Logarithmic Functions
  • 10.5: Derivatives of Logarithmic Functions
  • 10.6: Exponential Growth and Decay
  • Review Exercises
  • Test Yourself
  
  
• Chapter 11: Integration and Its Applications
  • 11.1: Antiderivatives and Indefinite Integrals
  • 11.2: Integration by Substitution and The General Power Rule
  • 11.3: Exponential and Logarithmic Integrals
  • 11.4: Area and the Fundamental Theorem of Calculus
  • 11.5: The Area of a Region Bounded by Two Graphs
  • 11.6: The Definite Integral as the Limit of a Sum
  • Review Exercises
  • Test Yourself
  
  
• Chapter 12: Techniques of Integration
  • 12.1: Integration by Parts and Present Value
  • 12.2: Integration Tables
  • 12.3: Numerical Integration
  • 12.4: Improper Integrals
  • Review Exercises
  • Test Yourself
  
  
• Chapter 13: Functions of Several Variables
  • 13.1: The Three-Dimensional Coordinate System
  • 13.2: Surfaces in Space
  • 13.3: Functions of Several Variables
  • 13.4: Partial Derivatives
  • 13.5: Extrema of Functions of Two Variables
  • 13.6: Lagrange Multipliers
  • 13.7: Least Squares Regression Analysis
  • 13.8: Double Integrals and Area in the Plane
  • 13.9: Applications of Double Integrals
  • Review Exercises
  • Test Yourself
  
  
• Chapter 14: Trigonometric Functions (Web)*
  • 14.1: Radian Measure of Angles
  • 14.2: The Trigonometric Functions
  • 14.3: Graphs of Trigonometric Functions
  • 14.4: Derivatives of Trigonometric Functions
  • 14.5: Integrals of Trigonometric Functions
  • Review Exercises
  • Test Yourself
  
  
• Chapter 15: Series and Taylor Polynomials (Web)*
  • 15.1: Sequences and Summation Notation
  • 15.2: Arithmetic Sequences and Partial Sums
  • 15.3: Geometric Sequences and Series
  • 15.4: Series and Convergence
  • 15.5: _-Series and Ratio Test
  • 15.6: Power Series and Taylor's Theorem
  • 15.7: Taylor Polynomials
  • 15.8: Newton's Method
  • Review Exercises
  • Test Yourself
  
  
• Chapter 16: Probability (Web)
  • 16.1: Counting Principals
  • 16.2: Probability
  • 16.3: Discrete and Continuous Random Variables
  • 16.4: Expected Value and Variance
  • 16.5: Mathematical Induction
  • 16.6: The Binomial Theorem
  • Review Exercises
  • Test Yourself
  
  
• Appendix A: An Introduction to Graphing Utilities (Web)
• Appendix B: Conic Sections (Web)*
  • B.1: Conic Sections
  • B.2: Conic Sections and Translations
  
  
• Appendix C: Further Concepts in Statistics (Web)*
  • C.1: Data and Linear Modeling
  • C.2: Measures of Central Tendency and Dispersion
  
  
• Appendix D: Properties and Measurement (Web)*
  • D.1: Review of Algebra, Geometry and Trigonometry
  • D.2: Units of Measurement
  
  
• Appendix E: Alternate Introduction to the Fundamental Theorem of Calculus (Web)
• Appendix F: Differential Equations (Web)*
  • F.1: Solutions of Differential Equations
  • F.2: Separation of Variables
  • F.3: First-Order Linear Differential Equations
  • F.4: Applications of Differential Equations
  
  
• Appendix G: Formulas (Web)
  • G.1: Differentiation and Integration Formulas
  • G.2: Formulas from Business and Finance
  
  
• Appendix H: Graphing Utility Programs (Web)