Advanced Level Complex Numbers

This chapter helps us understand complex numbers ,its characteristics and i which is an imaginary number, i^2 =-1. This is a very important chapter in the GCE examination and it covers about 60% of the total marks of the mathematics. It is also a short and easy to understand topic especially if you follow this lesson carefully.
Get this lesson and become a improve greatly on your grades by acquiring perfect skills in complex numbers.

OBJECTIVE

By the end of this chapter students should be able to;

• know the number system and the imaginary number i
• state the real and imaginary parts of a complex number
• add and subtract complex numbers
• multiply complex numbers and simplify them using i2=-1
• state the conjugate of any complex number
• express complex number in the form a + bi or x + yi
• modulus and argument of any complex number after representing the complex number on an argon diagram
• find the square root of any complex number after using the concept of equality of complex numbers
• forms in which complex numbers are expressed
• application of the Moivres Theorem
• complex polynomials
• Find the locus of a set of points in an argon diagram