- 2x2
- 3x3
- Basic matrix operations
- Matrix multiplication
- All matrix operations combined
- Determinants
- 2x2
- 3x3
- 2x2
- 3x3
- Easy
- Hard
Complex Numbers
- Operations with complex numbers
- Properties of complex numbers
- Rationalizing imaginary denominators
Quadratic Functions and Inequalities
- Properties of parabolas
- Vertex form
- Graphing quadratic inequalities
- Factoring quadratic expressions
- Solving quadratic equations w/ square roots
- Solving quadratic equations by factoring
- Completing the square
- Solving equations by completing the square
- Solving equations with the quadratic formula
- The discriminant
Polynomial Functions
- Naming and simple operations
- Factoring a sum/difference of cubes
- Factoring by grouping
- Factoring quadratic form
- Factoring using all techniques
- Factors and Zeros
- The Remainder Theorem
- Irrational and Imaginary Root Theorems
- Descartes' Rule of Signs
- More on factors, zeros, and dividing
- The Rational Root Theorem
- Polynomial equations
- Basic shape of graphs of polynomials
- Graphing polynomial functions
- The Binomial Theorem
General Functions
- Evaluating functions
- Function operations
- Inverse functions
Radical Functions and Rational Exponents
- Simplifying radicals
- Operations with radical expressions
- Dividing radical expressions
- Radicals and rational exponents
- Simplifying rational exponents
- Square root equations
- Rational exponent equations
- Graphing radicals
Conic Sections
- Graphing & properties of parabolas
- Equations of parabolas
- Graphing & properties of circles
- Equations of circles
- Graphing & properties of ellipses
- Equations of ellipses
- Graphing & properties of hyperbolas
- Equations of hyperbolas
- Classifying conic sections
- Eccentricity
- Systems of quadratic equations
Rational Expressions
- Graphing simple rational functions
- Graphing general rational functions
- Simplifying rational expressions
- Multiplying / dividing rational expressions
- Adding / subtracting rational expressions
- Complex fractions
- Solving rational equations
Exponential and Logarithmic Functions
- The meaning of logarithms
- Properties of logarithms
- The change of base formula
- Writing logs in terms of others
- Logarithmic equations
- Inverse functions and logarithms
- Exponential equations not requiring logarithms
- Exponential equations requiring logarithms
- Graphing logarithms
- Graphing exponential functions
- Discrete exponential growth and decay word problems
- Continuous exponential growth and decay word problems
Sequences and Series
- General sequences
- Arithmetic sequences
- Geometric sequences
- Comparing Arithmetic/Geometric Sequences
- General series
- Arithmetic series
- Arithmetic/Geometric Means w/ Sequences
- Finite geometric series
- Infinite geometric series
Trigonometry
- Right triangle trig: Evaluating ratios
- Right triangle trig: Missing sides/angles
- Angles and angle measure
- Co-terminal angles and reference angles
- Arc length and sector area
- Trig ratios of general angles
- Exact trig ratios of important angles
- The Law of Sines
- The Law of Cosines
- Graphing trig functions
- Translating trig functions
- Angle Sum/Difference Identities
- Double-/Half-Angle Identities
Statistics & Probability
- Sample spaces and The Counting Principle
- Independent and dependent events
- Mutualy exclusive events
- Permutations
- Combinations
- Permutations vs combinations
- Probability using permutations and combinations
