Difference between revisions of "ModelCourses/CollegeAlgebra"

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* '''Set 01 Real numbers, essential algebra rules''' <br>
 
* '''Set 01 Real numbers, essential algebra rules''' <br>
 
** :[[File:college_algebra_0_1.tar.gz|Problem set for this unit]]
 
** :[[File:college_algebra_0_1.tar.gz|Problem set for this unit]]
 
  +
** Students will be able to <br>
Students will be able to <br>
 
  +
*** evaluate algebraic expressions
** evaluate algebraic expressions
 
  +
*** domain of a variable
** domain of a variable
+
*** laws of exponents
** laws of exponents
+
*** square roots
** square roots
+
*** scientific notation
** scientific notation
 
   
 
* '''Set 02 Formulas''' <br>
 
* '''Set 02 Formulas''' <br>
** :[[File:college_algebra_0_2.tar.gz|Problem set for this unit]]
+
** :[[File:college_algebra_0_2.tar.gz|Problem set for this unit]] <br>
+
** Students will be able to <br>
Students will be able to <br>
+
*** Use Formulas
** Formulas
 
   
 
* '''Set 03 Polynomials''' <br>
 
* '''Set 03 Polynomials''' <br>
 
** :[[File:college_algebra_0_3.tar.gz|Problem set for this unit]]
 
** :[[File:college_algebra_0_3.tar.gz|Problem set for this unit]]
 
  +
** Students will be able to <br>
Students will be able to <br>
 
  +
*** Use Polynomials
** Polynomials
 
  +
*** Use Multiplication formulas
** Multiplication formulas
 
   
 
* '''Set 04 Factoring polynomials''' <br>
 
* '''Set 04 Factoring polynomials''' <br>
 
** :[[file04|Problem set for this unit]]
 
** :[[file04|Problem set for this unit]]
** Factoring polynomials
 
  +
** Students will be able to <br>
** Long division
 
  +
*** Factor polynomials
  +
*** Do Long division
   
 
* '''Set 05 Synthetic Division''' <br>
 
* '''Set 05 Synthetic Division''' <br>
 
** :[[File:college_algebra_0_4.tar.gz|Problem set for this unit]]
 
** :[[File:college_algebra_0_4.tar.gz|Problem set for this unit]]
* Synthetic Division
 
  +
** Students will be able to <br>
  +
*** Do Synthetic Division
   
 
* '''Set 06 Rational Expressions''' <br>
 
* '''Set 06 Rational Expressions''' <br>
 
** :[[file06|Problem set for this unit]]
 
** :[[file06|Problem set for this unit]]
** Rational Expressions
 
  +
** Students will be able to <br>
  +
** Solve Rational Expressions
   
 
* '''Set 07 Roots and rational exponents''' <br>
 
* '''Set 07 Roots and rational exponents''' <br>
 
** :[[File:college_algebra_0_5.tar.gz|Problem set for this unit]]
 
** :[[File:college_algebra_0_5.tar.gz|Problem set for this unit]]
** Roots and rational exponents
 
  +
** Students will be able to <br>
  +
*** Solve for roots
  +
*** Solve rational exponents
   
 
=== College algebra problem sets ===
 
=== College algebra problem sets ===

Revision as of 10:21, 10 March 2013

Prep Main Page > Model Courses > College Algebra Model Course

Try it out

General Description

  • Freshman level college algebra course
  • Pre-requisite: Intermediate algebra or 2 years of high school algebra.


Possible textbooks include, but are not limited to:

  • Michael Sullivan and Michael Sullivan III. College Algebra—Enhanced with Graphing Utilities, Fifth Edition. Upper Saddle River, NJ: Prentice-Hall, Inc., 2009.

Topics Covered

  • Lines and Circles and their graphs
  • Functions and Their Graphs
  • Inverse Functions
  • Linear Functions, Their Properties, and Linear Models
  • Quadratic Functions and Their Properties
  • Inequalities Involving Quadratic Functions
  • Polynomial and Rational Functions
  • Exponential Functions
  • Logarithmic Functions
  • Exponential Growth and Decay Models
  • Conics: Parabola, Ellipse and Hyperbola
  • Systems of Equations and Inequalities

Problem sets

Review

  • Set 01 Real numbers, essential algebra rules
    •  :Problem set for this unit
    • Students will be able to
      • evaluate algebraic expressions
      • domain of a variable
      • laws of exponents
      • square roots
      • scientific notation
  • Set 07 Roots and rational exponents

College algebra problem sets

  • Set 03 Quadratic Equations with Complex Roots

Students will be able to

    • Use Quadratic form equations
    • Solve Factorable equations
    • Solve Equations with radicals (populated)

Students will be able to

    • Solve very simple inequalities
    • Solve compound inequalities (populated, needs more)

Unit 6 - Linear Equations

Problem set for this unit
  • Absolute value equations and inequalities (populated)

Unit 7 - Linear Equations

Problem set for this unit
  • Word problems: interest, mixture, motion, constant rate jobs (populated)

Unit 8 - Linear Equations

Problem set for this unit
  • Coordinate system. Distance and midpoint formula (populated)

Unit 9 - Linear Equations

Problem set for this unit
  • Graphs of equations in two variables, intercepts, symmetry (populated)

Unit 10 - Linear Equations

Problem set for this unit
  • Lines

Unit 11 - Linear Equations

Problem set for this unit
  • Circles

Unit 12 - Linear Equations

Problem set for this unit
  • Variation (formulas for science laws, say)

Unit 13 - Linear Equations

Problem set for this unit
  • Functions

Unit 14 - Linear Equations

Problem set for this unit
  • Graph of functions

Unit 15 - Linear Equations

Problem set for this unit
  • Properties of functions

Unit 16 - Linear Equations

Problem set for this unit
  • Library of functions, piecewise-defined functions

Unit 17 - Linear Equations

Problem set for this unit
  • Graphing techniques, transformations

Unit 18 - Linear Equations

Problem set for this unit
  • Math models: building functions

Unit 19 - Linear Equations

Problem set for this unit
  • Linear functions and their properties (populated)

Unit 20 - Linear Equations

Problem set for this unit
  • Linear models

Unit 21 - Linear Equations

Problem set for this unit
  • Quadratic functions and their properties

Unit 22 - Linear Equations

Problem set for this unit
  • Quadratic models from ‘word problems’

Unit 23 - Linear Equations

Problem set for this unit
  • Inequalities with quadratic functions Audrey

Unit 24 - Linear Equations

Problem set for this unit
  • Polynomial functions and models

Unit 25 - Linear Equations

Problem set for this unit
  • Properties of rational functions?

Unit 26 - Linear Equations

Problem set for this unit
  • Graph of a rational function?

Unit 27 - Linear Equations

Problem set for this unit
  • Polynomial and Rational Inequalities: Audrey

Unit 28 - Linear Equations

Problem set for this unit
  • Real zeros of polynomials

Unit 29 - Linear Equations

Problem set for this unit
  • Complex zeros, fundamental theorem of algebra

Unit 30 - Linear Equations

Problem set for this unit
  • Composite functions

Unit 31 - More about Functions

Problem set for this unit
  • One-to-one functions
  • Inverse functions

Unit 32 - Conic sections

Problem set for this unit
  • Conic sections

Other Model Courses