Lecture 1 Complex Numbers - 4unitmaths.com

1. i= Numbers are often denoted asRis the set of real Numbers ,Cis the set of Complex Numbers .Ifzis a complexnumber,zis of the formz=x+iy C,for somex,y 3 + 4iis a Complex +iy real partimaginary +iy,x,y R,therealpartofz= (z) = Re(z)=xtheimaginarypartofz= (z) = Im(z)= +4i (z)=3 (z)= +iy,thenz( zbar ) is given byz=x iyand is called .Ifz=3+4i, thenz=3 2x+3= ( 2) ( 2)2 4(1)(3)2(1)=2 82=2 2 22=1 2i. Lecture 2 Complex 1.(2+3i)+(4+i)=6+ 2.(8 3i) ( 2+4i)=10 1.(2+3i)(1+2i)=2+4i+3i 6= 4+7iExample 2.

Lecture 1 Complex Numbers Definitions. Let i2 = −1. ∴ i = −1. Complex numbers are often denoted by z. Just as R is the set of real numbers, C is the set of complex numbers.Ifz is a complex number, z is of the form z = x+ iy ∈ C, for some x,y ∈ R. e.g. 3 + 4i is a complex number. z = x+ iy real part imaginary part.

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  Lecture, Number, Complex, Lecture 1 complex numbers

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