Polar Coordinates and Complex Numbers
Polar coordinates and complex numbers covers the polar/rectangular relationship and the representation of basic graphs. Also introduces the complex plane and applications. Topics include:
- Introduction to Polar Coordinates
- Converting from Rectangular Coordinates to Polar
- Converting from Polar Coordinates to Rectangular
- The Distance Formula in Polar Coordinates
- Lines in Polar Coordinates
- Symmetry of Polar Graphs
- Graphing Polar Equations
- Families of Polar Curves: Circles, Cardiods, and Limacon
- Families of Polar Curves: Roses
- Families of Polar Curves: Conic Sections
- The Complex Plane
- Trigonometric Form of Complex Numbers
- Converting Complex Numbers From Rectangular Form to Trigonometric
- Multiplying Complex Numbers
- Dividing Complex Numbers
- DeMoivre's Theorem
- The Euler Formula
- Finding the Roots of a Complex Number
- More Roots of Complex Numbers