Difference between revisions of "ModelCourses/CollegeAlgebra"

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[[PREP_2011|Prep Main Page]] > [[ModelCourses|Model Courses]] > College Algebra Model Course
 
[[PREP_2011|Prep Main Page]] > [[ModelCourses|Model Courses]] > College Algebra Model Course
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==Description==
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==ToDo List==
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==College Algebra Topics (Alex)==
 
==College Algebra Topics (Alex)==

Revision as of 09:52, 26 June 2011

Prep Main Page > Model Courses > College Algebra Model Course

Description

ToDo List

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 (populated)
  • Quadratic Equations (needs problems)
  • Complex numbers and quadratic equations (populated)
  • Quadratic in form equations, factorable equations, equations with radicals (populated)
  • Very simple inequalities, compound inequalities (Audrey)
  • Absolute value equations and inequalities (populated)
  • Word problems: interest, mixture, motion, constant rate jobs (populated)
  • Coordinate system. Distance and midpoint formula (populated)
  • Graphs of equations in two variables, intercepts, symmetry (populated)
  • 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 (Pangyen)
  • 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
  • Conic sections