Complex Numbers

Operations with Complex Numbers

Introduction to Complex Numbers

Modulus & Argument

Equating Real & Imaginary Parts

Solving Equations with Complex Roots

Solving Equations with Complex Roots

Roots of Quadratic Equations

Roots of Quadratic Equations

Roots of Quadratic Equations

Forming Quadratics with New Roots

Numerical Solutions of Equations

Numerical Solutions of Equations

Roots in Intervals

Interval Bisection

Linear Interpolation

Newton-Raphson Method

Coordinate Systems

Coordinate Systems

The Parabola

The Rectangular Hyperbola

Tangents & Normals

Matrices

Matrix Algebra

Introduction to Matrices

Multiplying Matrices

Inverse Matrices

Proving Matrix Relationships

Transformations using Matrices

Transformations using Matrices

Standard Matrix Transformations

Inverse Matrix Transformations

Combinations of Matrix Transformations

Series

Series

Standard Series

Combinations of Series

Proof

Proof by Induction

Proof by Induction

Standard Proofs by Induction