One Minute Math
Pre-Calculus Topics

Applications of Trigonometry

• The Law of Sines

  • Introduction

  • The Standard Case - AAS

  • The Ambiguous Case - SSA Part 1

  • The Ambiguous Case - SSA Part 2

• The Law of Cosines

  • Introduction

  • SAS Case

  • SSS Case

• Vectors

  • What is a Vector?

  • Magnitude and Direction

  • Vector Operations

  • The Dot Product

  • Finding the Angle Between Vectors

Complex Numbers

• What is Polar Form of a Complex Number?

• The Complex Plane

• Plotting Polar Points

• Converting Rectangular to Polar Form

• Converting Polar to Rectangular Form

• Products and Quotients of Complex Numbers in Polar Form

• De Moivre’s Theorem

  • Powers of Complex Numbers

  • Roots of Complex Numbers

• Polar Equations and Graphs

  • Lines and Circles

  • The Cardioid

  • The Rose

  • The Lemniscate

• Converting Polar Equations to Rectangular

• Converting Rectangular Equations to Polar

Matrices

• What is a Matrix?

• Adding and Subtracting Matrices

• Scalar Multiplication

• Matrix Multiplication

• Augmented Matrices

• Matrix Row Transformations

• Gauss-Jordan Elimination

Conic Sections

• Identifying Conic Sections

• The Parabola

  • Graphing a parabola

• The Circle

  • Graphing a Circle

• The Ellipse

  • Graphing an Ellipse

• The Hyperbola

  • Graphing a Hyperbola

• Placeholder

Sequences and Series

• The Difference Between a Sequence and a Series

• Sequence Notation

• Recursive vs. Explicit Definitions of a Sequence

• Arithmetic vs. Geometric Sequences

• Arithmetic Sequences and Series

  • Recursive Definition

  • Explicit Definition

  • The Sum of an Arithmetic Series

• Geometric Sequences and Series

  • Recursive Definition

  • Explicit Definition

  • The Sum of a Finite Geometric Series

  • The Sum of an Infinite Geometric Series