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PRECALCULUS
Virtual Classroom

View the answers to the questions that you and other students in District 204 are asking. 

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
View actual TOC
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