Topic outline

  • ALGEBRA & TRIGONOMETRY COURSE


    This comprehensive course contains 13 sections with 91 self-grading lessons, including final assessments. Section 9 is available to try for free.

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  • Prerequisites


    1.1. Real Numbers: Algebra Essentials
    1.2. Exponents and Scientific Notation
    1.3. Radicals and Rational Exponents
    1.4. Polynomials
    1.5. Factoring Polynomials
    1.6. Rational Expressions

    Final Assessment

    • Prerequisites - Final Assessment


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

      • 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

                • The Unit Circle: Sine and Cosine Functions


                  7.1. Angles
                  7.2. Right Triangle Trigonometry
                  7.3. Unit Circle
                  7.4. The Other Trigonometric Functions
                  Final Assessment


                  • Periodic Functions


                    8.1. Graphs of the Sine and Cosine Functions
                    8.2. Graphs of the Other Trigonometric Functions
                    8.3. Inverse Trigonometric Functions
                    Final Assessment


                    • Trigonometric Identities and Equations



                      • 9.1 Solving Trigonometric Equations with Identities SCORM package

                            • Verify the fundamental trigonometric identities.
                            • Simplify trigonometric expressions using algebra and the identities.


                        9.2. Sum and Difference Identities
                        9.3. Double-Angle, Half-Angle, and Reduction Formulas
                        9.4. Sum-to-Product and Product-to-Sum Formulas
                        9.5. Solving Trigonometric Equations

                        Final Assessment

                    • This topic

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                      • Further Applications of Trigonometry


                        10.1. Non-right Triangles: Law of Sines
                        10.2. Non-right Triangles: Law of Cosines
                        10.3. Polar Coordinates
                        10.4. Polar Coordinates: Graphs
                        10.5. Polar Form of Complex Numbers
                        10.6. Parametric Equations
                        10.7. Parametric Equations: Graphs
                        10.8. Vectors
                        Final Assessment


                        • Systems of Equations and Inequalities



                          11.1. Systems of Linear Equations: Two Variables
                          11.2. Systems of Linear Equations: Three Variables
                          11.3. Systems of Nonlinear Equations and Inequalities: Two Variables
                          11.4. Partial Fractions
                          11.5. Matrices and Matrix Operations
                          11.6. Solving Systems with Gaussian Elimination
                          11.7. Solving Systems with Inverses
                          11.8. Solving Systems with Cramer's Rule
                          Final Assessment

                          • Analytic Geometry


                            12.1. The Ellipse
                            12.2. The Hyperbola
                            12.3. The Parabola
                            12.4. Rotation of Axes
                            12.5. Conic Sections in Polar Coordinates
                            Final Assessment


                            • Sequences, Probability, and Counting Theory


                              13.1. Sequences and Their Notations
                              13.2. Arithmetic Sequences
                              13.3. Geometric Sequences
                              13.4. Series and Their Notations
                              13.5. Counting Principles
                              13.6. Binomial Theorem
                              13.7. Probability
                              Final Assessment


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