Complex Numbers

Complex Numbers:

Complex Numbers After this lecture you should be able to: Understand what a complex number is Add and subtract complex numbers Multiply complex numbers Find the conjugate of a complex number Divide complex numbers Represent complex numbers on an Argand diagram Calculate the modulus and argument of a complex number Use modulus and argument to multiply complex numbers Express complex number using cos and sin Learning Objectives

Slide 2:

Complex Numbers Solve the equation:

Slide 3:

Complex Numbers Use z instead of x Imaginary part (Im) Real part (Re)

Slide 4:

Addition and subtraction of Complex Numbers

Slide 5:

Multiplication of Complex Numbers

Slide 6:

Conjugate of a Complex Number and division. REAL

Slide 7:

Conjugate of a Complex Number and division.

Slide 8:

Representing complex numbers graphically using an Argand diagram Vectors!!

Slide 9:

Modulus and Argument of a complex number. The argument of a complex number is such that:

Slide 10:

Multiplication of Complex Numbers using modulus and argument form

Slide 11:

Alternative form for modulus and argument