Topic outline

  • PRE-CALCULUS COURSE


    This comprehensive course contains 12 sections with 85 self-grading lessons, including final assessments. The first section is available to try for free.

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  • Functions


  • Functions - Final Assessment


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

    • This topic

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      • Linear Functions


        2.1. Linear Functions
        2.2. Graphs of Linear Functions
        2.3. Modeling with Linear Functions
        2.4. Fitting Linear Models to Data
        Final Assessment


        • Polynomial and Rational Functions


          3.1. Complex Numbers
          3.2. Quadratic Functions
          3.3. Power Functions and Polynomial Functions
          3.4. Graphs of Polynomial Functions
          3.5. Dividing Polynomials
          3.6. Zeros of Polynomial Functions
          3.7. Rational Functions
          3.8. Inverses and Radical Functions
          3.9. Modeling Using Variation
          Final Assessment

          • Exponential and Logarithmic Functions


            4.1. Exponential Functions
            4.2. Graphs of Exponential Functions
            4.3. Logarithmic Functions
            4.4. Graphs of Logarithmic Functions
            4.5. Logarithmic Properties
            4.6. Exponential and Logarithmic Equations
            4.7. Exponential and Logarithmic Models
            4.8. Fitting Exponential Models to Data
            Final Assessment

            • Trigonometric Functions


              5.1. Angles
              5.2. Unit Circle: Sine and Cosine Functions
              5.3. The Other Trigonometric Functions
              5.4. Right Triangle Trigonometry
              Final Assessment


              • Periodic Functions


                  6.1. Graphs of the Sine and Cosine Functions
                  6.2. Graphs of the Other Trigonometric Functions
                  6.3. Inverse Trigonometric Functions
                  Final Assessment




                  • Trigonometric Identities and Equations


                    7.1. Solving Trigonometric Equations with Identities
                    7.2. Sum and Difference Identities
                    7.3. Double-Angle, Half-Angle, and Reduction Formulas
                    7.4. Sum-to-Product and Product-to-Sum Formulas
                    7.5. Solving Trigonometric Equations
                    7.6. Modeling with Trigonometric Equations
                    Final Assessment


                    • Further Applications of Trigonometry


                      8.1. Non-right Triangles: Law of Sines
                      8.2. Non-right Triangles: Law of Cosines
                      8.3. Polar Coordinates
                      8.4. Polar Coordinates: Graphs
                      8.5. Polar Form of Complex Numbers
                      8.6. Parametric Equations
                      8.7. Parametric Equations: Graphs
                      8.8. Vectors
                      Final Assessment


                      • Systems of Equations and Inequalities


                        9.1. Systems of Linear Equations: Two Variables
                        9.2. Systems of Linear Equations: Three Variables
                        9.3. Systems of Nonlinear Equations and Inequalities: Two Variables
                        9.4. Partial Fractions
                        9.5. Matrices and Matrix Operations
                        9.6. Solving Systems with Gaussian Elimination
                        9.7. Solving Systems with Inverses
                        9.8. Solving Systems with Cramer's Rule
                        Final Assessment

                        • Analytic Geometry


                          10.1. The Ellipse
                          10.2. The Hyperbola
                          10.3. The Parabola
                          10.4. Rotation of Axes
                          10.5. Conic Sections in Polar Coordinates
                          Final Assessment

                          • Sequences, Probability and Counting Theory


                            11.1. Sequences and Their Notations
                            11.2. Arithmetic Sequences
                            11.3. Geometric Sequences
                            11.4. Series and Their Notations
                            11.5. Counting Principles
                            11.6. Binomial Theorem
                            11.7. Probability
                            Final Assessment

                            • Introduction to Calculus


                              12.1. Finding Limits: Numerical and Graphical Approaches
                              12.2. Finding Limits: Properties of Limits
                              12.3. Continuity
                              12.4. Derivatives
                              Final Assessment


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