complex numbers

(1.4 hours to learn)


Complex numbers are numbers expressible as a + bi, where i^2 = -1. They are often more convenient to work with than real numbers, because all complex (and hence all real) polynomials of degree n have n complex roots. Many trigonometric identities can be derived more simply using complex numbers.


-this concept has no prerequisites-


  • Be able to add, multiply, and divide complex numbers, and raise them to powers
  • Know the definitions of
    • complex conjugate
    • norm (or absolute value) of a complex number
  • Why can't i and -i be distinguished?
  • Be able to work with the polar representation of complex numbers

Core resources (read/watch one of the following)



Supplemental resources (the following are optional, but you may find them useful)


See also

-No Additional Notes-