Section outline

    • express complex numbers in the form a + ib, a, b, ∊ ℝ 
    • calculate the square root of a complex number 
    • carry out the algebra of complex numbers (add, subtract, multiply, divide) 
    • calculate the complex roots of a polynomial 
    • find the modulus of a complex number 
    • find the argument of a complex number 
    • understand the properties of modulus and argument 
    • interpret the modulus and argument of complex numbers 
    • represent complex numbers on an Argand diagram (including sums, differences, products and quotients) 
    • identify and sketch loci on an Argand diagram  
    • oivre’s theorem for n ∊ ℤ+
    • establish that e^iθ = cos θ + i sin θ