MATH1021 Study Guide - Final Guide: Abraham De Moivre, Waterline Length, Imaginary Number

• School: University of Sydney
• Department: Mathematics
• Course: MATH1021
• Professor: Haotian Wu

Document Summary

C is a subset of contains and sets are different. , a) closed 1 inclusive open / exclusive a always takes interval interval a round bracket. Imaginary numbers i=f complex numbers z a bi it. E numbers ( a bi ) ( c. Like normal b d)i (at di ) c) t. Multiply by complex conjugate r denominator. Polar atbi form and roots of e numbers coso i since ) r as a r( " ( ka ) a r b r a. * may need to draw a diagram for quadrants. Group ztw like terms rcoso tsin 4) t if rsinottsino. W the rt moduli ( a cis add. Raise multiply zn the modulus to the the argument rncis @ a) power , the by power. Roots of @ numbers zn r: so has n distinct roots r as. Roots of a n polynomial eqhs exactly least at n degree polynomial roots e.