## Topic outline

- PRE-CALCULUS COURSEPRE-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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- FunctionsFunctions
- Determine whether a relation represents a function
- Find the value of a function
- Determine whether a function is one-to-one
- Use the vertical line test to identify functions
- Graph the functions listed in the library of functions

1.2. Domain and Range

1.3. Rates of Change and Behavior of Graphs

1.4. Composition of Functions

1.5. Transformation of Functions

1.6. Absolute Value Functions

1.7. Inverse FunctionsClick the link above to get the access codes and instructions to add this trial course to your LMS.

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- Functions - Final AssessmentFunctions - Final Assessment
This is the final assessment for

. (Available when you subscribe.)*Functions* - Subscribe & Try the FULL COURSE FREE for 14 days!This topicSubscribe & Try the FULL COURSE FREE for 14 days!
The full course includes all 85 lessons, including 12 Final Assessments with Instructor Answer Keys.

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- Linear FunctionsLinear 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 FunctionsPolynomial 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 FunctionsExponential 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 FunctionsTrigonometric 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 FunctionsPeriodic 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 EquationsTrigonometric 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 TrigonometryFurther 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 InequalitiesSystems 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 GeometryAnalytic 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 TheorySequences, 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 CalculusIntroduction to Calculus
12.1. Finding Limits: Numerical and Graphical Approaches

12.2. Finding Limits: Properties of Limits

12.3. Continuity

12.4. Derivatives

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