Math 102

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Content Outlines

Chapter Outline

Chapter-by-chapter outline:

• Chapter 1: Equations and Inequalities
• Chapter 2: Graphs
• Chapter 3: Functions and their Graphs
• Chapter 4: Linear and Quadratic Functions
• Chapter 5: Polynomial and Rational Functions
• Chapter 6: Exponential/Log Functions
• Chapter 8: Systems of Equations and Inequalities

Outline

Chapter 1: Equations and Inequalities

• Linear equations
• Quadratic equations
• Radical equations and factorable equations
• Solving inequalities
• Equations and inequalities with absolute value
• Applications (interest, rate, mixture)

Chapter 2: Graphs

• Distance/Midpoint formulas
• grpahs of equations in 2 variables
• Lines
• Circles

Chapter 3: Functions and their Graphs

• Functions
• Graphs of functions
• Properties of functions
• Library of functions, piecewise functions
• Graphing transformations
• Building functions (modeling)

Chapter 4: Linear and Quadratic Functions

• Linear functions and properties
• Linear models and functions from data
• Quadratic functions and properties
• Quadratic models and functions from data and descriptions
• Inequalities with quadratics

Chapter 5: Polynomial and Rational Functions

• Polynomial functions and models
• Properties of rational functions
• Graphs of rational functions
• Polynomial and rational inequalities
• Real zeros of polynomials

Chapter 6: Exponential/Log Functions

• Composition functions
• One to one functions and inverse functions
• Exponential functions
• Logarithmic functions
• Properties of logs

*Log and exponential equations

• Financial models

*Exponential growth and decay

• Logistic growth and decay
• Building log/exp models

Chapter 8: Systems of Equations and Inequalities

• Systems of linear equations: substitution, elimination
• Systems of linear equations: matrices
• Systems of linear equations: determinants
• Matrix algebra
• Partial fractions decomposition
• Systems of nonlinear equations
• Systems of inequalities
• Linear programming