MTH 108 Lecture Notes - Lecture 22: Imaginary Number, Precalculus
2 May 2017
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8. 3 the complex plane and demoivre"s theorem notes: sterling. Provide a generalization to each of the key terms listed in this section. Any numbers that are in the form of where the following occur: a and b are real numbers, z is the standard form. B is the imaginary part: i is the imaginary unit. Complex numbers examples z = a + bi i2 = i i = 1: 2+3i. Imaginary part: -6: -3+(-4)i = 3-4i. Imaginary part: -4: -(5)-(-2)i = -5+2i. Speci c complex numbers examples: a+0i = a. In this case, this help note that the real numbers are just subsets of the complex numbers: 0+bi = bi. In this case, the complex number of bi can be classi ed as a pure imaginary number. Equality of complex numbers a + bi = c + di. Sum of complex numbers (a + bi) + (c + di) = (a + c) + (b + d) i.
