## Topic outline

- ALGEBRA & TRIGONOMETRY COURSEALGEBRA & 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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- PrerequisitesPrerequisites1.1. 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 ExpressionsFinal Assessment

- Prerequisites - Final AssessmentPrerequisites - Final Assessment
This is the final assessment for

. (Available when you subscribe.)*Prerequisites* - Equations and InequalitiesEquations 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 - FunctionsFunctions
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 FunctionsLinear Functions
4.1. Linear Functions

4.2. Modeling with Linear Functions

4.3. Fitting Linear Models to Data

Final Assessment - Polynomial and Rational FunctionsPolynomial 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 FunctionsExponential 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 FunctionsThe 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 FunctionsPeriodic 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 EquationsTrigonometric Identities and Equations
- 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 EquationsFinal Assessment

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- Subscribe & Try the FULL COURSE FREE for 14 days!This topicSubscribe & Try the FULL COURSE FREE for 14 days!
The full course includes all 91 lessons, including 13 Final Assessments with Instructor Answer Keys.

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- Further Applications of Trigonometry 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 InequalitiesSystems of Equations and Inequalities11.1. 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 GeometryAnalytic 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 TheorySequences, 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 - Subscribe for as low as $199 per yearSubscribe for as low as $199 per year
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