Math 102
From charlesreid1
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