Functions, Data, and Models: An Applied Approach to College Algebra 1st edition

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• Chapter 1: Data Everywhere
  • 1.1: Data in the Real World
  • 1.2: Displaying Data
  • 1.3: Two-Variable Data
  
  
• Chapter 2: Functions Everywhere
  • 2.1: Functions in the Real World
  • 2.2: Describing the Behavior of Functions
  • 2.3: Representing Functions Symbolically
  • 2.4: Mathematical Models
  
  
• Chapter 3: Linear Functions
  • 3.1: Fundamental Concepts of Linear Functions
  • 3.2: Modeling With Linear Functions
  • 3.3: Linear Functions and Data
  • 3.4: Linear Regression: Finding the Best Line
  
  
• Chapter 4: More about Linear Functions
  • 4.1: Systems of Linear Equations
  • 4.2: Applications of Linear Equations
  • 4.3: Matrix Products and their Applications
  • 4.4: Linear Models with Several Variables
  
  
• Chapter 5: Families of Nonlinear Functions
  • 5.1: Exponential Growth Functions
  • 5.2: Exponential Decay Functions
  • 5.3: Fitting Exponential Functions to Data
  • 5.4: Logarithmic Functions
  • 5.5: Modeling with Logarithmic Functions
  • 5.6: Power Functions
  • 5.7: Fitting Power Functions to Data
  • 5.8: How Good Is the Fit?
  
  
• Chapter 6: Polynomial Functions
  • 6.1: Introduction to Polynomial Functions
  • 6.2: The Behavior of Polynomial Functions
  • 6.3: Modeling with Polynomial Functions
  
  
• Chapter 7: Extended Families of Functions
  • 7.1: Building New Functions from Old: Shifting, Stretching, and Shrinking
  • 7.2: Using Shifting and Stretching With Data
  • 7.3: The Central Limit Theorem and Confidence Intervals
  • 7.4: Functions of Several Variables: Tables, Contours, Formulas
  
  
• Chapter 8: Modeling Periodic Phenomena
  • 8.1: The Sinusoidal Functions Sine and Cosine
  • 8.2: Modeling Periodic Behavior with the Sine and Cosine
  • 8.3: Solving Equations with Sine and Cosine
  • 8.4: Approximating the Sine and Cosine with Polynomials
  
  
• Chapter A: Appendices
  • A.A: Some Mathematical Moments to Remember
  • A.B: Statistical Calculations on TI Calculators
  • A.C: Statistical Calculations In Excel
  • A.D: The Algebra of Linear Functions
  • A.E: Solving Equations Graphically: Zoom-and-Trace
  • A.F: Linear Regression on TI Calculators
  • A.G: Linear Regression Using Excel
  • A.H: Where the Correlation Coefficient Formula Comes From
  • A.I: Solving Systems of Linear Equations Algebraically
  • A.J: Curve Fitting in Excel
  • A.K: Symmetry
  • A.L: The Arithmetic of Complex Numbers
  • A.M: World Population Data for 2009