Things To Learn

  • Write a complex number in the form `a+bi`, where `a` and `b` are real numbers and the imaginary unit `i` satisfies `i^2=-1`.
  • Geometrically identify `i` as a multiplicand effecting a 90° counterclockwise rotation of the real number line.
  • Locate points corresponding to complex numbers in the complex plane.
  • Understand complex numbers as a superset of the real numbers (i.e., a complex number a+bi is real when b=0).
  • Learn that complex numbers share many similar properties of the real numbers: associative, commutative, distributive, addition/subtraction, multiplication, etc.

A Surprising Boost from Geometry

Exercise and Practice

Using the Boost