Professional Engineering Continuing Education [P.E.C.E.]

**Complex Numbers**

Lecturer: Robert Louie, PE

Although the notion of the square root of negative-one seems highly analytically and somewhat theoretically, it does have its applications in engineering. This course module will show a derivation of the square root of negative-one, and many of manipulating techniques. This include its similarity with the Cartesian coordinates plane. The relationships between polar and rectangular coordinates will be demonstrated. The ease of manipulating the complex number in polar form is emphasized. A quick peek into how a calculator can perform a seemingly difficult exponential function is also presented. This technique would lead to the famous Euler's formula. Finally, one equation showing the relationship of the five most famous numbers in all of mathematics will be revealed.

Four
(4) Continuing Education Hours

**[NYS
Approved for PE continuing education hours]**