ModelCourses/CollegeAlgebra: Difference between revisions
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* Quadratic functions and their properties | * Quadratic functions and their properties | ||
* Quadratic models from ‘word problems’ | * Quadratic models from ‘word problems’ | ||
* Inequalities with quadratic functions | * Inequalities with quadratic functions Audrey | ||
* Polynomial functions and models | * Polynomial functions and models | ||
* Properties of rational functions? | * Properties of rational functions? | ||
* Graph of a rational function? | * Graph of a rational function? | ||
* Polynomial and Rational Inequalities | * Polynomial and Rational Inequalities: Audrey | ||
* Real zeros of polynomials | * Real zeros of polynomials | ||
* Complex zeros, fundamental theorem of algebra | * Complex zeros, fundamental theorem of algebra | ||
* Composite functions | * Composite functions | ||
* One-to-one functions; inverse functions | * One-to-one functions; inverse functions |
Revision as of 20:50, 23 June 2011
Prep Main Page > Model Courses > College Algebra Model Course
College Algebra Topics (Alex)
Review part:
- Real numbers; essential algebra rules (evaluate algebraic expressions, domain of a variable, laws of exponents, square roots, scientific notation)
- Geometry essentials (formulas)
- Polynomials (multiplication formulas)
- Factoring polynomials; Long division
- Synthetic Division
- Rational Expressions
- Roots and rational exponents
Main part:
- Linear equations
- Quadratic Equations
- Complex numbers and quadratic equations
- Quadratic in form equations, factorable equations, equations with radicals
- Very simple inequalities, compound inequalities
- Absolute value equations and inequalities
- Word problems: interest, mixture, motion, constant rate jobs
- Coordinate system. Distance and midpoint formula
- Graphs of equations in two variables, intercepts, symmetry
- Lines
- Circles
- Variation (formulas for science laws, say)
- Functions
- Graph of functions
- Properties of functions
- Library of functions, piecewise-defined functions
- Graphing techniques, transformations
- Math models: building functions
- Linear functions and their properties
- Linear models
- Quadratic functions and their properties
- Quadratic models from ‘word problems’
- Inequalities with quadratic functions Audrey
- Polynomial functions and models
- Properties of rational functions?
- Graph of a rational function?
- Polynomial and Rational Inequalities: Audrey
- Real zeros of polynomials
- Complex zeros, fundamental theorem of algebra
- Composite functions
- One-to-one functions; inverse functions