## 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.)

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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
3.3. 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
3.9. 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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