ModelCourses/CollegeAlgebra

Prep Main Page > Model Courses > College Algebra Model Course

Description

Starting with one particular textbook we created a set of topics that are covered in a typical college algebra course. We have not organized these by chapters so that any person teaching from any textbook could use these in any order they needed. We then used the NPL to populate those topics with problems that exist. This led us to trying to decide how to combine some of those groups so that they would be more user friendly. We also started to write some problems to cover areas that are not covered or thinly covered by the NPL, as well as trying to get some sort of order of difficulty in the numbering. This will be an ongoing and evolving project as we have already had to revamp some of our original ideas.

Review

Unit 1 - Real numbers; essential algebra rules

Problem set for this unit

• evaluate algebraic expressions
• domain of a variable
• laws of exponents
• square roots
• scientific notation

Unit 2 - Formulas

Problem set for this unit

• Formulas

Unit 3 - Polynomials

Problem set for this unit

• Polynomials
• Multiplication formulas

Unit 4 - Factoring polynomials

Problem set for this unit

• Factoring polynomials
• Long division

Unit 5 - Synthetic Division

Problem set for this unit

• Synthetic Division

Unit 6 - Rational Expressions

Problem set for this unit

• Rational Expressions

Unit 7 - Roots and rational exponents

Problem set for this unit

• Roots and rational exponents

College Algebra

Unit 1 - Linear Equations

Problem set for this unit

• Linear equations (populated)

Unit 2 - Quadratic Equations

Problem set for this unit

• Quadratic Equations (populated)

Unit 3 - Quadratic Equations with Complex Roots

Problem set for this unit

• Complex numbers and quadratic equations (populated)

Unit 4 - Equations with Quadratic form and Radicals

Problem set for this unit

• Quadratic in form equations
• Factorable equations
• Equations with radicals (populated)

Unit 5 - Inequalities

Problem set for this unit

• Very simple inequalities
• 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