• Basics

• Operations

• Vector cross product

Conic Sections

• Circles

• Ellipses

• Hyperbolas

• Parabolas

• Rotation conic section

Matrices and Systems

• Cramer's rule

• linear systems

• matrix equations

• matrix inverses determinants

• matrix operations

• partial fraction decomposition

Probability

• binomial probability

• independent/dependent events

• mutual exclusive events

• probability combinatorics

• Binomial theorem

• Combinations

• Math induction

• Permutations

• Sample space

Intro to Calculus

• Approx AUC

• Area under curve

• definition derivative

• evaluating limits

• indefinite integrals

• instant rate change

• motion along line

• power constant sum rules

Polar Coordinates

• Complex numbers-polar form

• graph polar equations

• polar coordinates

• polar form conic sections

• polar rectangular forms

Trigonometry

• angles/angle measure

• equations multiple angle identities

• fundamental trig identities

• graph trig functions

• inverse trig functions

• law of cosines

• law of sines

• multiple angle identities

• product sum identities

• right triangle trig

• simple trig equations

• sum/difference identities

• trig factoring

• trig ratios

• Average rate of change;

• continuity;

• extrema increase/decrease;

• function inverse;

• function operations;

• graph transformations;

• piecewise functions;

• power functions

Parametric Equations

• ideal projectile motion

• parametric equations

Power, Polynomial, Rational Functions

• dividing polynomials

• fundamental theorem algebra

• graph rational function

• graph polynomial functions

• polynomial inequalities

• polynomial conjugate root

• rational equations

• rational inequalities

• remainder theorem

• Compound interest

• Evaluating logarithms

• Exponential equations-no log

• Exponential equations with log

• Exponents logs

• Graphing exponential functions

• Graphing logarithmic functions

• Inverse log

• Log equations

• Properties of logs

Sequences and Series

• arithmetic sequence/series

• general sequence/series

• geometric sequence/series

• power series

Vectors

• dot product

• vector basics

• vector operations