IB DP Maths: AA HL复习笔记1.9.4 De Moivre's Theorem
What is De Moivre’s Theorem? De Moivre’s theorem can be used to find powers of complex numbers How do I use de Moivre’s Theorem to raise a complex number to a power? If a complex number is in Carte...
IB DP Maths: AA HL复习笔记1.9.3 Complex Roots of Polynomials
What are complex roots? A quadratic equation can either have two real roots (zeros), a repeated real root or no real roots This depends on the location of the graph of the quadratic with respect to...
IB DP Maths: AA HL复习笔记1.9.2 Forms of Complex Numbers
How do I write a complex number in modulus-argument (polar) form? How do I multiply complex numbers in modulus-argument (polar) form? The main benefit of writing complex numbers in modulus-argument...
IB DP Maths: AA HL复习笔记1.9.1 Geometry of Complex Numbers
What does addition look like on an Argand diagram? In Cartesian form two complex numbers are added by adding the real and imaginary parts When plotted on an Argand diagram the complex number z1 + ...
IB DP Maths: AA HL复习笔记1.8.3 Introduction to Argand Diagrams
What is the complex plane? The complex plane, sometimes also known as the Argand plane, is a two-dimensional plane on which complex numbers can be represented geometrically It is similar to a two-d...
IB DP Maths: AA HL复习笔记1.8.2 Modulus & Argument
How do I find the modulus of a complex number? The modulus of a complex number is its distance from the origin when plotted on an Argand diagram A modulus is never negative What features should I k...
IB DP Maths: AA HL复习笔记1.8.1 Intro to Complex Numbers
What is an imaginary number? What is a complex number? What is Cartesian Form? There are a number of different forms that complex numbers can be written in The form z = a + bi is known as Cartesian...
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IB DP Maths: AA HL复习笔记1.7.2 Permutations & Combinations
What are Permutations? A permutation is the number of possible arrangements of a set of objects when the order of the arrangements matters A permutation can either be finding the number of ways to...
