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Precalculus (K-A)

Complex numbers (K-A)

What are the imaginary numbers? (K-A)

What are the complex numbers? (K-A)

The complex plane (K-A)

Adding and subtracting complex numbers (K-A)

Multiplying complex numbers (K-A)

Distance and midpoint of complex numbers (K-A)

Complex conjugates and dividing complex numbers (K-A)

Absolute value and angle of complex numbers (K-A)

Polar form of complex numbers (K-A)

Multiplying and dividing complex numbers in polar form (K-A)

Challenging complex number problems (K-A)

Conic sections (K-A)

Introduction to conic sections (K-A)

The features of a circle (K-A)

Standard equation of a circle (K-A)

Expanded equation of a circle (K-A)

Focus and directrix of a parabola (K-A)

Center and radii of an ellipse (K-A)

Foci of an ellipse (K-A)

Introduction to hyperbolas (K-A)

Foci of a hyperbola (K-A)

Hyperbolas not centered at the origin (K-A)

Identifying conic sections from their expanded equations (K-A)

Challenging conic section problems (IIT JEE) (K-A)

Matrices (K-A)

Introduction to matrices (K-A)

Representing linear systems of equations with augmented matrices (K-A)

Elementary matrix row operations (K-A)

Row-echelon form and Gaussian elimination (K-A)

Adding and subtracting matrices (K-A)

Multiplying matrices by scalars (K-A)

Properties of matrix addition & scalar multiplication (K-A)

Multiplying matrices by matrices (K-A)

Properties of matrix multiplication (K-A)

Matrices as transformations (K-A)

The determinant of a 2x2 matrix (K-A)

Introduction to matrix inverses (K-A)

Finding the inverse of a matrix using its determinant (K-A)

Solving equations with inverse matrices (K-A)

Model real-world situations with matrices (K-A)

Probability and combinatorics (K-A)

Basic probability (K-A)

Venn diagrams and the addition rule (K-A)

Compound probability of independent events using diagrams (K-A)

Compound probability of independent events using the multiplication rule (K-A)

Dependent events (K-A)

Permutations (K-A)

Combinations (K-A)

Probability using combinatorics (K-A)

Series (K-A)

Arithmetic sequences (K-A)

Basic sigma notation (K-A)

Finite arithmetic series (K-A)

Geometric sequences (K-A)

Finite geometric series (K-A)

Finite geometric series applications (K-A)

Trigonometry (K-A)

The inverse trigonometric functions (K-A)

Solving basic sinusoidal equations (K-A)

Solving sinusoidal models (K-A)

Introduction to the trigonometric angle addition identities (K-A)

Using trigonometric identities to solve problems (K-A)

Vectors (K-A)

Vector basics (K-A)

Magnitude of vectors (K-A)

Scalar multiplication (K-A)

Vector addition and subtraction (K-A)

Combined vector operations (K-A)

Unit vectors (K-A)

Magnitude and direction form of vectors (K-A)

Component form of vectors (K-A)

Adding vectors in magnitude and direction form (K-A)

Applications of vectors (K-A)