PRECALCULUS
Virtual Classroom

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Preliminary Topics

• Solving Linear Equations
• Writing linear equations
• Literal Equations (and Formulas)
• Graphing Systems of Linear Inequalities
• area word problems
• Variation
• Simplifying radicals
• Compound interest

1. Functions and Their Graphs

• Functions and function notation
• Domain and range
• Graphing functions by transformations
• Symmetry of functions
• Inverse functions

2. Polynomial and Rational Functions

• Writing polynomial equations
• Complex and Imaginary Numbers
• Finding zeros, roots, factors of polynomials
• Long division & synthetic division
• Graphing rational functions

3. Exponential and Logarithmic Functions

• Understanding & graphing logs and exponents
• Simplifying, expanding & condensing logs
• Solving log and exponential equations
• Exponential Word Problems 

4. Trigonometric Functions

• Degrees, radians & the Unit Circle
• Basic trig functions
• Graphing trig functions
• Inverse trig functions
• Trig word problems

5. Analytic Trigonometry

• Basic trig identities
  
• Verifying trigonometric identities
• Solving trig equations
  
• Other trig properties

6. Additional Topics in Trigonometry

• The Law of Sines
• The Law of Cosines

7. Systems of Equations and Inequalities

• Solving System of Linear Equations (2 var)
• Graphing Systems of Linear Inequalities
• Linear Programming

8. Matrices and Determinants

• Determinants
• Operations with matrices
• Solving systems of equations with matrices

9. Sequences, Series, and Probability

• Sequences and Series
  

10. Topics in Analytic Geometry

• Completing the square
• Circles & Ellipses
• Hyperbolas
• Parabolas (as conic sections)

11. Analytic Geometry in Three Dimensions
11.1 The Three-Dimensional Coordinate System
11.2 Vectors in Space
11.3 The Cross Product of Two Vectors
11.4 Lines and Planes in Space

12. Limits and an Introduction to Calculus

• Limits

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