Complex Analysis Video #12 (Complex Arithmetic, Part 12). Review of Geometric Interpretation of Complex Multiplication and Division. Complex Conjugates (symbols and use).
Details: Review of moduli and argument properties of multiplication and division. Visualize division using Manipulate on Mathematica (starts with (2 + 3i)/(-1 + 4i). Review complex conjugates. Special equations worth remembering: z*zbar = |z|^2; 1/z = zbar/|z|^(2) (show how it comes up in complex division). Example: calculate (5+7i)/(2+3i) by multiplying by (2-3i)/(2-3i).