Precalculus
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Term 1
Range
Average
Percent Of
Percent Increase or Decrease
Parts per Million and Parts per Billion
Sets of Numbers
Number Sets
Complex Numbers
Rational Exponents
Working Around Irrationals
Spheres
Cylinders and Cones
Measurement by Ratio
Inequalities
Solving Inequalities
Compound Inequalities
Intervals
Functions
Absolute Value Function
Absolute Value Equations
Absolute Value Inequalities
Composition of Functions
Properties of Functions
Extrema of Functions
Inverse Functions
Term 2
Line Equation from Points
Manipulating Line Equations
Manipulating Line Equations Again
Manipulating Line Equations Worst
Systems of Three Variables
Elimination with Three Variables
Inconsistent and Dependent Systems
Matrices
Matrix Arithmetic
Matrix Multiplication
Matrix Determinant
Matrix Inverse
Matrices and Linear Equations
Cramer's Rule
Simplifying Polynomials
Distributive Property with Polynomials
Multiplying Binomials
Multiplying Binomials: FOIL Method
Factorial
Simplifying Factorials
Permutations
Combinations
Summation Notation
Squaring and Cubing Binomials
Binomial Theorem
Pascal's Triangle
Term 3
Greatest Common Factors
Factoring Polynomials
Factoring Quadratic Trinomials
Factoring Trinomials with Coefficients
Simplifying Rational Expressions
Addition of Rational Expressions
Simplifying Complex Fractions
Polynomial Division
Solving Equations with Squares
Solving Quadratic Equations
Source of the Quadratic Formula
Use of the Quadratic Formula
Complex Solutions
Completing the Square
Graphing Parabolas
Graphing Circles
Graphing Ellipses
Graphing Hyperbolas
Exponential Functions
Circular Trigonometry
Unit Circle Trigonometry
Arc Length and Sector Area
Term 4
Trigonometry as Functions
Sine Around the Circle
Cosine Around the Circle
Graphing Sine
Graphing Cosine
Transformations of Sine and Cosine
Translations of Sine and Cosine
Inverse Trigonometric Functions
Polar Coordinates
Complex Arithmetic
Law of Cosines
Trigonometric Area
Sine Formula for Area
Polar to Cartesian Conversion
Trigonometric Equivalents
Trigonometric Identities
Simplifying Trigonometric Expressions
Solving Trigonometric Equations
Graphing Complex Numbers
Exponents and Complex Numbers