Complex Numbers

Saturdays from January 14-March 4

11:00 AM-12:30 PM PST/2:00 PM-3:30 PM EST

In this class, we will examine some of the key properties of complex numbers, and then use them to solve problems in trigonometry, geometry, algebra, and number theory.

Lessons will be taught through Zoom. There will not be any homework, but I will give problems for students to think about and discuss between classes.

This class is intended primarily for advanced high school students, but students of any age are welcome to enroll.

Prerequisites:

• Algebra:

  • Factoring polynomials and solving polynomial equations

  • Basic complex number operations and properties

• Combinatorics:

  • Binomial theorem

• Number theory:

  • Modular arithmetic operations

  • Fermat’s little theorem/Euler’s theorem

• Trigonometry:

  • Sine, cosine, tangent definitions

  • Basic trigonometric identities (Pythagorean, angle sum, double-angle, law of cosines)