Advanced Functions
Rational and radical functions
Matrices and Vectors
Vector operations, basic matrices
Sequences, Series, and Limits
Arithmetic/geometric progressions, limits
The Unit Circle & Trig Identities
Sin, cos, tan, radians
Circle Geometry
Arcs, tangents, chords, angles
Congruence and Similarity
Similar shapes, geometric proofs
Transformations
Translations, rotations, reflections
Triangles & Pythagorean Theorem
Right triangles, hypotenuse
Complex Numbers
Imaginary unit i, arithmetic
Exponential & Logarithmic Functions
Log rules, solving equations
Polynomials & Factoring
Adding/multiplying polynomials, roots
Solving Quadratic Equations
Standard form, discriminant, Vieta's formulas
Graphing Lines & Slope
Coordinate plane, y=mx+b
Introduction to Functions
Domain, range, function notation
Solving Linear Equations & Inequalities
Isolating variables, inequalities
Systems of Equations
Substitution, elimination, graphing