Difference between revisions of "ModelCourses/CollegeAlgebra"
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* '''Set 01 Linear Equations''' <br> |
* '''Set 01 Linear Equations''' <br> |
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** :[[File:college_algebra_1_1.tar.gz|Problem set for this unit]] |
** :[[File:college_algebra_1_1.tar.gz|Problem set for this unit]] |
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| − | ** Linear equations <span style="color:blue">(populated)</span> |
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| + | ** Students will be able to |
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| + | *** Solve linear equations <span style="color:blue">(populated)</span> |
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* '''Set 02 Quadratic Equations''' <br> |
* '''Set 02 Quadratic Equations''' <br> |
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** :[[File:college_algebra_1_2.tar.gz|Problem set for this unit]] |
** :[[File:college_algebra_1_2.tar.gz|Problem set for this unit]] |
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| − | ** Quadratic Equations <span style="color:blue">(populated)</span> |
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| + | ** Students will be able to |
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| + | *** Solve Quadratic Equations <span style="color:blue">(populated)</span> |
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* '''Set 03 Quadratic Equations with Complex Roots''' <br> |
* '''Set 03 Quadratic Equations with Complex Roots''' <br> |
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** :[[File:college_algebra_1_3.tar.gz|Problem set for this unit]] |
** :[[File:college_algebra_1_3.tar.gz|Problem set for this unit]] |
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| − | ** Complex numbers and quadratic equations <span style="color:blue">(populated)</span> |
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| + | ** Students will be able to |
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| + | *** Solve quadratic equations with complex roots <span style="color:blue">(populated)</span> |
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* '''Set 04 Equations with Quadratic form and Radicals''' <br> |
* '''Set 04 Equations with Quadratic form and Radicals''' <br> |
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** :[[File:college_algebra_1_4.tar.gz|Problem set for this unit]] |
** :[[File:college_algebra_1_4.tar.gz|Problem set for this unit]] |
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| − | |||
| + | ** Students will be able to <br> |
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| − | Students will be able to <br> |
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| + | *** Use Quadratic form equations |
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| − | ** |
+ | *** Solve Factorable equations |
| − | ** Solve |
+ | *** Solve Equations with radicals <span style="color:blue">(populated)</span> |
| − | ** Solve Equations with radicals <span style="color:blue">(populated)</span> |
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* '''Set 05 Inequalities''' <br> |
* '''Set 05 Inequalities''' <br> |
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** :[[File:college_algebra_1_5.tar.gz|Problem set for this unit]] |
** :[[File:college_algebra_1_5.tar.gz|Problem set for this unit]] |
||
| − | |||
| + | ** Students will be able to <br> |
||
| − | Students will be able to <br> |
||
| + | *** Solve very simple inequalities |
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| − | ** Solve very simple inequalities |
||
| + | *** Solve compound inequalities <span style="color:red">(populated, needs more)</span> |
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| − | ** Solve compound inequalities <span style="color:red">(populated, needs more)</span> |
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=== Unit 6 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
=== Unit 6 - [[ModelCourses/CollegeAlgebra/LinearEquations|Linear Equations]] === |
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Revision as of 10:25, 10 March 2013
Prep Main Page > Model Courses > College Algebra Model Course
Contents
- 1 Try it out
- 2 General Description
- 3 Topics Covered
- 4 Problem sets
- 4.1 Review
- 4.2 College algebra problem sets
- 4.3 Unit 6 - Linear Equations
- 4.4 Unit 7 - Linear Equations
- 4.5 Unit 8 - Linear Equations
- 4.6 Unit 9 - Linear Equations
- 4.7 Unit 10 - Linear Equations
- 4.8 Unit 11 - Linear Equations
- 4.9 Unit 12 - Linear Equations
- 4.10 Unit 13 - Linear Equations
- 4.11 Unit 14 - Linear Equations
- 4.12 Unit 15 - Linear Equations
- 4.13 Unit 16 - Linear Equations
- 4.14 Unit 17 - Linear Equations
- 4.15 Unit 18 - Linear Equations
- 4.16 Unit 19 - Linear Equations
- 4.17 Unit 20 - Linear Equations
- 4.18 Unit 21 - Linear Equations
- 4.19 Unit 22 - Linear Equations
- 4.20 Unit 23 - Linear Equations
- 4.21 Unit 24 - Linear Equations
- 4.22 Unit 25 - Linear Equations
- 4.23 Unit 26 - Linear Equations
- 4.24 Unit 27 - Linear Equations
- 4.25 Unit 28 - Linear Equations
- 4.26 Unit 29 - Linear Equations
- 4.27 Unit 30 - Linear Equations
- 4.28 Unit 31 - More about Functions
- 4.29 Unit 32 - Conic sections
- 5 Other Model Courses
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 02 Formulas
- :Problem set for this unit
- Students will be able to
- Use Formulas
- :Problem set for this unit
- Set 03 Polynomials
- :Problem set for this unit
- Students will be able to
- Use Polynomials
- Use Multiplication formulas
- Set 04 Factoring polynomials
- :Problem set for this unit
- Students will be able to
- Factor polynomials
- Do Long division
- Set 05 Synthetic Division
- :Problem set for this unit
- Students will be able to
- Do Synthetic Division
- Set 06 Rational Expressions
- :Problem set for this unit
- Students will be able to
- Solve Rational Expressions
- Set 07 Roots and rational exponents
- :Problem set for this unit
- Students will be able to
- Solve for roots
- Solve rational exponents
College algebra problem sets
- Set 01 Linear Equations
- :Problem set for this unit
- Students will be able to
- Solve linear equations (populated)
- Set 02 Quadratic Equations
- :Problem set for this unit
- Students will be able to
- Solve Quadratic Equations (populated)
- Set 03 Quadratic Equations with Complex Roots
- :Problem set for this unit
- Students will be able to
- Solve quadratic equations with complex roots (populated)
- 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)
Unit 6 - Linear Equations
- Absolute value equations and inequalities (populated)
Unit 7 - Linear Equations
- Word problems: interest, mixture, motion, constant rate jobs (populated)
Unit 8 - Linear Equations
- Coordinate system. Distance and midpoint formula (populated)
Unit 9 - Linear Equations
- Graphs of equations in two variables, intercepts, symmetry (populated)
Unit 10 - Linear Equations
- Lines
Unit 11 - Linear Equations
- Circles
Unit 12 - Linear Equations
- Variation (formulas for science laws, say)
Unit 13 - Linear Equations
- Functions
Unit 14 - Linear Equations
- Graph of functions
Unit 15 - Linear Equations
- Properties of functions
Unit 16 - Linear Equations
- Library of functions, piecewise-defined functions
Unit 17 - Linear Equations
- Graphing techniques, transformations
Unit 18 - Linear Equations
- Math models: building functions
Unit 19 - Linear Equations
- Linear functions and their properties (populated)
Unit 20 - Linear Equations
- Linear models
Unit 21 - Linear Equations
- Quadratic functions and their properties
Unit 22 - Linear Equations
- Quadratic models from ‘word problems’
Unit 23 - Linear Equations
- Inequalities with quadratic functions Audrey
Unit 24 - Linear Equations
- Polynomial functions and models
Unit 25 - Linear Equations
- Properties of rational functions?
Unit 26 - Linear Equations
- Graph of a rational function?
Unit 27 - Linear Equations
- Polynomial and Rational Inequalities: Audrey
Unit 28 - Linear Equations
- Real zeros of polynomials
Unit 29 - Linear Equations
- Complex zeros, fundamental theorem of algebra
Unit 30 - Linear Equations
- Composite functions
Unit 31 - More about Functions
- One-to-one functions
- Inverse functions
Unit 32 - Conic sections
- Conic sections
