1. - Let z equal the square root of −i. (a) Find Rez and Imz(real and imaginary parts of z). (b) Find real and imaginary partsfor the square root of z ∗ . Don’t forget that every number (realor complex) has two square roots.
2. - Use the Euler Formula derived in Lecture to evaluate thereal and imaginary parts of the complex wave function ψ(x) = 2e ikxfor these 5 values of x: x = λ/2, λ/3, λ/4, 3λ + λ/5, 13λ/6 .You’ll have to recall the standard relation between wave vector andwavelength and evaluate some trig functions.
