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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
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