Precalculus videos

Composing functions

Modeling with composite functions

Invertible functions

Inverse functions in graphs and tables

Verifying inverse functions by composition

Special trigonometric values in the first quadrant

Trigonometric identities on the unit circle

Inverse trigonometric functions

Law of sines

Law of cosines

Sinusoidal equations

Solving general triangles

Sinusoidal models

Angle addition identities

Using trigonometric identities

The complex plane

Distance and midpoint of complex numbers

Complex conjugates and dividing complex numbers

Identities with complex numbers

Modulus (absolute value) and argument (angle) of complex numbers

Polar form of complex numbers

Graphically multiplying complex numbers

Multiplying and dividing complex numbers in polar form

The fundamental theorem of algebra

Reducing rational expressions to lowest terms

End behavior of rational functions

Graphs of rational functions

Discontinuities of rational functions

Modeling with rational functions

Multiplying and dividing rational expressions

Adding and subtracting rational expressions

Introduction to conic sections

Center and radii of an ellipse

Foci of an ellipse

Introduction to hyperbolas

Foci of a hyperbola

Hyperbolas not centered at the origin

Vectors introduction

Vector components

Magnitude of vectors

Scalar multiplication

Vector addition and subtraction

Direction of vectors

Vector components from magnitude and direction

Vectors word problems

Adding vectors in magnitude and direction form

Introduction to matrices

Using matrices to represent data

Multiplying matrices by scalars

Adding and subtracting matrices

Properties of matrix addition & scalar multiplication

Using matrices to manipulate data

Matrices as transformations of the plane

Using matrices to transform the plane

Transforming 3D and 4D vectors with matrices

Multiplying matrices by matrices

Properties of matrix multiplication

Representing systems of equations with matrices

Introduction to matrix inverses

Finding inverses of 2x2 matrices

Solving linear systems with matrices

Venn diagrams and the addition rule

Multiplication rule for probabilities

Permutations

Combinations

Probability using combinatorics

Probability distributions introduction

Theoretical & empirical probability distributions

Decisions with probability

Expected value

Geometric series

Geometric series (with summation notation)

The binomial theorem

Arithmetic series

Defining limits and using limit notation

Estimating limit values from graphs

Estimating limit values from tables

Determining limits using algebraic properties of limits: limit properties

Determining limits using algebraic properties of limits: direct substitution

Determining limits using algebraic manipulation

Selecting procedures for determining limits

Determining limits using the squeeze theorem

Defining continuity at a point

Exploring types of discontinuities

Confirming continuity over an interval

Removing discontinuities

Connecting infinite limits and vertical asymptotes

Connecting limits at infinity and horizontal asymptotes

Working with the intermediate value theorem