Difference between revisions of "ModelCourses/CollegeAlgebra"

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===Problem Sets===
  
===Problem Sets===
 
* HW Set 1a – Review of Polynomials: Addition and Multiplication
 
* HW Set 1a – Review of Polynomials: Addition and Multiplication
  +
** Students will be able to:
  +
*** Add and Subtract Polynomials
  +
*** Multiply Polynomials
  +
 
* HW Set 1b - Review of Polynomials: Factoring
 
* HW Set 1b - Review of Polynomials: Factoring
  +
** Students will be able to:
  +
*** Factor Polynomials
  +
 
* HW Set 2 – Linear and Rational equations
  
* HW Set 2 – Linear and Rational equations
  +
** Students will be able to:
  +
 
* HW Set 3 - Quadratic Equations in the Field of Real Numbers
  
* HW Set 3 - Quadratic Equations in the Field of Real Numbers
  +
** Students will be able to:
  +
 
* HW Set 4a – Review of Complex Numbers
  
* HW Set 4a – Review of Complex Numbers
  +
** Students will be able to:
  +
 
* HW Set 4b – Quadratic Equations in the Field of Complex Numbers (can use more problems)
  
* HW Set 4b – Quadratic Equations in the Field of Complex Numbers (can use more problems)
  +
** Students will be able to:
  +
 
* HW Set 5a – Rational Equations equivalent to Quadratic Equations
  
* HW Set 5a – Rational Equations equivalent to Quadratic Equations
  +
** Students will be able to:
  +
 
* HW Set 5b - Radical Equations
  
* HW Set 5b - Radical Equations
  +
** Students will be able to:
  +
 
* HW Set 5c - Other Quadratic in Form Equations
  
* HW Set 5c - Other Quadratic in Form Equations
  +
** Students will be able to:
  +
 
* HW Set 5d - Factorable Equations; Misc Equations
  
* HW Set 5d - Factorable Equations; Misc Equations
  +
** Students will be able to:
  +
 
* HW Set 6 – Linear Inequalities
  
* HW Set 6 – Linear Inequalities
  +
** Students will be able to:
  +
 
* HW Set 7a – Absolute Value Equations
  
* HW Set 7a – Absolute Value Equations
  +
** Students will be able to:
  +
 
* HW Set 7b - Absolute Value Inequalities
  
* HW Set 7b - Absolute Value Inequalities
  +
** Students will be able to:
  +
 
* HW Set 8 – Word Problems – Total Value, Interest, Uniform Motion, Work Rate, Geometry Problems
  
* HW Set 8 – Word Problems – Total Value, Interest, Uniform Motion, Work Rate, Geometry Problems
  +
** Students will be able to:
  +
 
* HW Set 9 – Coordinate System, Distance Formula, Midpoints
  
* HW Set 9 – Coordinate System, Distance Formula, Midpoints
  +
** Students will be able to:
  +
 
* HW Set 10 – Graphs, Intercepts, Symmetry
  
* HW Set 10 – Graphs, Intercepts, Symmetry
  +
** Students will be able to:
  +
 
* HW Set 11 – Lines and Slopes; Perpendicular and Parallel Lines
  
* HW Set 11 – Lines and Slopes; Perpendicular and Parallel Lines
  +
** Students will be able to:
  +
 
* HW Set 12 – Circles
  
* HW Set 12 – Circles
  +
** Students will be able to:
  +
 
* HW Set 13 – Variation
  
* HW Set 13 – Variation
  +
** Students will be able to:
  +
 
* HW Set 14a – Concept of a Function; Evaluation of a Function at a point
  
* HW Set 14a – Concept of a Function; Evaluation of a Function at a point
  +
** Students will be able to:
  +
 
* HW Set 14b - Concept of a Function; Domain of a Function
  
* HW Set 14b - Concept of a Function; Domain of a Function
  +
** Students will be able to:
  +
 
* HW Set 15 – Graphs of Basic Functions (can use more problems)
  
* HW Set 15 – Graphs of Basic Functions (can use more problems)
  +
** Students will be able to:
  +
 
* HW Set 16 – Properties of Functions: Even and Odd Functions (can use more problems)
  
* HW Set 16 – Properties of Functions: Even and Odd Functions (can use more problems)
  +
** Students will be able to:
  +
 
* HW Set 17 – Library of Functions (can use more problems)
  
* HW Set 17 – Library of Functions (can use more problems)
  +
** Students will be able to:
  +
 
* HW Set 18 – Graphing Transformations
  
* HW Set 18 – Graphing Transformations
  +
** Students will be able to:
  +
 
* HW Set 19 – Math Models (can use more problems)
  
* HW Set 19 – Math Models (can use more problems)
  +
** Students will be able to:
  +
 
* HW Set 20 – Linear Functions
  
* HW Set 20 – Linear Functions
  +
** Students will be able to:
  +
 
* HW Set 21 – Linear Models and Scatterplots
  
* HW Set 21 – Linear Models and Scatterplots
  +
** Students will be able to:
  +
 
* HW Set 22 – Quadratic Functions
  
* HW Set 22 – Quadratic Functions
  +
** Students will be able to:
  +
 
* HW Set 23 – Quadratic Models (Max/Min Problems) and Scatterplots (can use more problems)
  
* HW Set 23 – Quadratic Models (Max/Min Problems) and Scatterplots (can use more problems)
  +
** Students will be able to:
  +
 
* HW Set 24 – Quadratic Inequalities
  
* HW Set 24 – Quadratic Inequalities
  +
** Students will be able to:
  +
 
* HW Set 25 – Polynomial Functions and Properties
  
* HW Set 25 – Polynomial Functions and Properties
  +
** Students will be able to:
  +
 
* HW Set 26 – Graph of Polynomial and Power Function
  
* HW Set 26 – Graph of Polynomial and Power Function
  +
** Students will be able to:
  +
 
* HW Set 27 – Rational Function and Properties
  
* HW Set 27 – Rational Function and Properties
  +
** Students will be able to:
  +
 
* HW Set 28 – Graph of Rational Function
  
* HW Set 28 – Graph of Rational Function
  +
** Students will be able to:
  +
 
* HW Set 29 – Polynomial and Rational Inequalities
  
* HW Set 29 – Polynomial and Rational Inequalities
  +
** Students will be able to:
  +
 
* HW Set 30 – Polynomial Real Zeros
  
* HW Set 30 – Polynomial Real Zeros
  +
** Students will be able to:
  +
 
* HW Set 31 – Polynomial Complex Zeros
  
* HW Set 31 – Polynomial Complex Zeros
  +
** Students will be able to:
  +
 
* HW Set 32 – Composite Functions
  
* HW Set 32 – Composite Functions
−
* HW Set 33 – 1-1 and Inverse Functions
  
  +
** Students will be able to:
  +
  +
* HW Set 33 – One-to-one and Inverse Functions
  +
** Students will be able to:
  +
 
* HW Set 34 – Exponential Functions (Properties and Graph)
  
* HW Set 34 – Exponential Functions (Properties and Graph)
  +
** Students will be able to:
  +
 
* HW Set 35 – Log Functions (Basic Properties and Graph)
  
* HW Set 35 – Log Functions (Basic Properties and Graph)
  +
** Students will be able to:
  +
 
* HW Set 36 – Properties of Logs
  
* HW Set 36 – Properties of Logs
  +
** Students will be able to:
  +
 
* HW Set 37 – Exponential Equations
  
* HW Set 37 – Exponential Equations
  +
** Students will be able to:
  +
 
* HW Set 38 – Log Equations
  
* HW Set 38 – Log Equations
  +
** Students will be able to:
  +
 
* HW Set 39a - Systems of Linear Equations 2 variables
  
* HW Set 39a - Systems of Linear Equations 2 variables
−
* HW Set 39b - Systems of Linear Equations 3 and more variables
  
  +
** Students will be able to:
   
  +
* HW Set 39b - Systems of Linear Equations 3 and more variables
  +
** Students will be able to:
   
 
==(2011 Edition) Problem sets==
  
==(2011 Edition) Problem sets==

Revision as of 14:49, 12 July 2013

Model Courses > College Algebra Model Course

Construction.png This article is under construction. Use the information herein with caution until this message is removed.

Try it out

General Description

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


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

  • Linear Equations
  • Qaudratic Equations
  • Equations Quadratic In Form
  • Radical Equations
  • 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 Equations
  • Logarithmic Equations
  • Systems of Equations and Inequalities

(2013 Edition) Problem Sets

Download Options

  • Download the set-definition files and any local problems used by the course (you would be able to use File Manager to upload the file to Templates (default) directory, and then import the set-definition files)
  • Download complete archive of the model course (you webwork administrator would have to place the archive in the corect place on your webwork server)

Problem Sets

  • HW Set 1a – Review of Polynomials: Addition and Multiplication
    • Students will be able to:
      • Add and Subtract Polynomials
      • Multiply Polynomials
  • HW Set 1b - Review of Polynomials: Factoring
    • Students will be able to:
      • Factor Polynomials
  • HW Set 2 – Linear and Rational equations
    • Students will be able to:
  • HW Set 3 - Quadratic Equations in the Field of Real Numbers
    • Students will be able to:
  • HW Set 4a – Review of Complex Numbers
    • Students will be able to:
  • HW Set 4b – Quadratic Equations in the Field of Complex Numbers (can use more problems)
    • Students will be able to:
  • HW Set 5a – Rational Equations equivalent to Quadratic Equations
    • Students will be able to:
  • HW Set 5b - Radical Equations
    • Students will be able to:
  • HW Set 5c - Other Quadratic in Form Equations
    • Students will be able to:
  • HW Set 5d - Factorable Equations; Misc Equations
    • Students will be able to:
  • HW Set 6 – Linear Inequalities
    • Students will be able to:
  • HW Set 7a – Absolute Value Equations
    • Students will be able to:
  • HW Set 7b - Absolute Value Inequalities
    • Students will be able to:
  • HW Set 8 – Word Problems – Total Value, Interest, Uniform Motion, Work Rate, Geometry Problems
    • Students will be able to:
  • HW Set 9 – Coordinate System, Distance Formula, Midpoints
    • Students will be able to:
  • HW Set 10 – Graphs, Intercepts, Symmetry
    • Students will be able to:
  • HW Set 11 – Lines and Slopes; Perpendicular and Parallel Lines
    • Students will be able to:
  • HW Set 12 – Circles
    • Students will be able to:
  • HW Set 13 – Variation
    • Students will be able to:
  • HW Set 14a – Concept of a Function; Evaluation of a Function at a point
    • Students will be able to:
  • HW Set 14b - Concept of a Function; Domain of a Function
    • Students will be able to:
  • HW Set 15 – Graphs of Basic Functions (can use more problems)
    • Students will be able to:
  • HW Set 16 – Properties of Functions: Even and Odd Functions (can use more problems)
    • Students will be able to:
  • HW Set 17 – Library of Functions (can use more problems)
    • Students will be able to:
  • HW Set 18 – Graphing Transformations
    • Students will be able to:
  • HW Set 19 – Math Models (can use more problems)
    • Students will be able to:
  • HW Set 20 – Linear Functions
    • Students will be able to:
  • HW Set 21 – Linear Models and Scatterplots
    • Students will be able to:
  • HW Set 22 – Quadratic Functions
    • Students will be able to:
  • HW Set 23 – Quadratic Models (Max/Min Problems) and Scatterplots (can use more problems)
    • Students will be able to:
  • HW Set 24 – Quadratic Inequalities
    • Students will be able to:
  • HW Set 25 – Polynomial Functions and Properties
    • Students will be able to:
  • HW Set 26 – Graph of Polynomial and Power Function
    • Students will be able to:
  • HW Set 27 – Rational Function and Properties
    • Students will be able to:
  • HW Set 28 – Graph of Rational Function
    • Students will be able to:
  • HW Set 29 – Polynomial and Rational Inequalities
    • Students will be able to:
  • HW Set 30 – Polynomial Real Zeros
    • Students will be able to:
  • HW Set 31 – Polynomial Complex Zeros
    • Students will be able to:
  • HW Set 32 – Composite Functions
    • Students will be able to:
  • HW Set 33 – One-to-one and Inverse Functions
    • Students will be able to:
  • HW Set 34 – Exponential Functions (Properties and Graph)
    • Students will be able to:
  • HW Set 35 – Log Functions (Basic Properties and Graph)
    • Students will be able to:
  • HW Set 36 – Properties of Logs
    • Students will be able to:
  • HW Set 37 – Exponential Equations
    • Students will be able to:
  • HW Set 38 – Log Equations
    • Students will be able to:
  • HW Set 39a - Systems of Linear Equations 2 variables
    • Students will be able to:
  • HW Set 39b - Systems of Linear Equations 3 and more variables
    • Students will be able to:

(2011 Edition) 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
  • Set 04 Equations with Quadratic form and Radicals
    • Problem set for this unit
    • Students will be able to
      • Use Quadratic form equations
      • Solve Factorable equations
      • Solve Equations with radicals (populated)
  • Set 05 Inequalities
    • Problem set for this unit
    • Students will be able to
      • Solve very simple inequalities
      • Solve compound inequalities (populated, needs more)
  • Set 06 Absolute value
    • Problem set for this unit
    • Students will be able to
      • Solve equations involving absolute values
    • Solve inequalities involving absolute values (populated)
  • Set 07 Applications
    • Problem set for this unit
    • Students will be able to
      • Solve word problems about interest
      • Solve mixture problems
      • Solve word problems about motion
      • Solve word problems about constant rate jobs (populated)
  • Set 08 Coordinate system
    • Problem set for this unit
    • Students will be able to
      • Solve problems using the distance formula
      • Solve problems using the midpoint formula (populated)
  • Set 09 Graphs of equations in two variables
    • Problem set for this unit
    • Students will be able to
      • Find graphs of equations in two variables
      • Find intercepts
      • Analyze symmetry of graphs (populated)
  • Set 12 Variation
  • Set 13 Functions
  • Set 16 Library of functions
    • Problem set for this unit
    • Students will be able to
      • Use several of a library of functions
      • Graph piecewise-defined functions
      • Evaluate piecewise-defined functions
  • Set 17 Transformations of functions
  • Set 19 Properties of Linear Functions
  • Set 22 Applications of Quadratic functions
  • Set 23 Inequalities with Quadratic functions
  • Set 24 Polynomial functions and models
  • Set 25 Properties of Rational Functions
  • Set 26 Graphs of a Rational Functions
    • Problem set for this unit
    • Students will be able to
      • Find vertical asymptotes
      • Find horizontal asymptotes
      • Find the domain and range of a rational function.
      • Graph rational functions
  • Set 27 Graphs of a Rational Functions
  • Set 29 Complex zeros
  • Set 31 Inverse functions
  • Set 32 Conic sections
    • Problem set for this unit
    • Students will be able to
      • Find equations for circles
      • Find equations for ellipses
      • Find equations for parabolas
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