# Course: Complex Analysis and Differential Equations

## Complex numbers

• Representation of complex numbers: coordinate form, polar form

• Power and roots: De Moivre’s formula

$$(\mathrm{cos}\theta+i\mathrm{sin}\theta)^{n}=\mathrm{cos}\ n\theta+i\mathrm{sin}\ n\theta\nonumber \\$$
Write each number in standard form
Compute the root.