Topic outline

  • COLLEGE ALGEBRA COURSE


    This comprehensive course contains 9 sections with 79 self-grading lessons, including final assessments. The first section is available to try for free.

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  • Prerequisites


    • 1.1 Real Numbers: Algebra Essentials SCORM package

          • Classify a real number as a natural, whole, integer, rational, or irrational number.
          • Perform calculations using order of operations.
          • Use the following properties of real numbers: commutative, associative, distributive, inverse, and identity.
          • Evaluate algebraic expressions.
          • Simplify algebraic expressions.

      1.2. Exponents and Scientific Notation
      1.3. Radicals and Rational Exponents
      1.4. Polynomials
      1.5. Factoring Polynomials
      1.6. Rational Expressions


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  • Prerequisites - Final Assessment


    This is the final assessment for Prerequisites. (Available when you subscribe.)


    • This topic

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      • Equations and Inequalities


        2.1. The Rectangular Coordinate Systems and Graphs
        2.2. Linear Equations in One Variable
        2.3. Models and Applications
        2.4. Complex Numbers
        2.5. Quadratic Equations
        2.6. Other Types of Equations
        2.7. Linear Inequalities and Absolute Value Inequalities
        Final Assessment


        • Functions


          3.1. Functions and Function Notation
          3.2. Domain and Range
          3.3. Rates of Change and Behavior of Graphs
          3.4. Composition of Functions
          3.5. Transformation of Functions
          3.6. Absolute Value Functions
          3.7. Inverse Functions
          Final Assessment


          • Linear Functions


            4.1. Linear Functions
            4.2. Modeling with Linear Functions
            4.3. Fitting Linear Models to Data
            Final Assessment

            • Polynomial and Rational Functions


              5.1. Quadratic Functions
              5.2. Power Functions and Polynomial Functions
              5.3. Graphs of Polynomial Functions
              5.4. Dividing Polynomials
              5.5. Zeros of Polynomial Functions
              5.6. Rational Functions
              5.7. Inverses and Radical Functions
              5.8. Modeling Using Variation
              Final Assessment


              • Exponential and Logarithmic Functions


                6.1. Exponential Functions
                6.2. Graphs of Exponential Functions
                6.3. Logarithmic Functions
                6.4. Graphs of Logarithmic Functions
                6.5. Logarithmic Properties
                6.6. Exponential and Logarithmic Equations
                6.7. Exponential and Logarithmic Models
                6.8. Fitting Exponential Models to Data
                Final Assessment


                • Systems of Equations and Inequalities


                  7.1. Systems of Linear Equations: Two Variables
                  7.2. Systems of Linear Equations: Three Variables
                  7.3. Systems of Nonlinear Equations and Inequalities: Two Variables
                  7.4. Partial Fractions
                  7.5. Matrices and Matrix Operations
                  7.6. Solving Systems with Gaussian Elimination
                  7.7. Solving Systems with Inverses
                  7.8. Solving Systems with Cramer's Rule
                  Final Assessment


                  • Analytic Geometry


                    8.1. The Ellipse
                    8.2. The Hyperbola
                    8.3. The Parabola
                    8.4. Rotation of Axes
                    8.5. Conic Sections in Polar Coordinates
                    Final Assessment


                    • Sequences, Probability, and Counting Theory


                      9.1. Sequences and Their Notations
                      9.2. Arithmetic Sequences
                      9.3. Geometric Sequences
                      9.4. Series and Their Notations
                      9.5. Counting Principles
                      9.6. Binomial Theorem
                      9.7. Probability
                      Final Assessment


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