1. Introducing complex numbers: in roots of quadratic equations, in terms of the the number line and rotation, Argand diagram, Cartesian form, polar form.
2. Complex number algebra: addition, subtraction, multiplication and division.
3. Phasors: discussion of basic a.c. theory in terms of complex numbers.
4. The exponential function: the exponential form of complex numbers, sines, cosines, cosh and sinh. Exponential form for phasors, transmission line examples. 5. De Moivre's theorem: use of the theorem.
6. Loci: loci and regions of the complex plane.
