Flashcards: Mastering Complex Numbers — 10 cards

Complex numbers — definition?

Numbers of the form a + bi, with real a, b.

Complex Number — definition?

Number of the form a + bi, with real a, b.

Complex conjugate — role?

Reflects a complex number across the real axis.

Imaginary Unit () — role?

Satisfies ^2 = -1.

Polar form — purpose?

Simplifies multiplication, division, powers, roots.

Complex conjugate — purpose?

Reflects z across real axis.

Modulus (z) — meaning?

Magnitude, distance from origin.

Argument () — definition?

Angle with positive real axis.

Complex operations — multiplication?

Distributive, combining real and imaginary parts.

Division — method?

Multiply numerator and denominator by conjugate.