Complex numbers

Can you work out what simple structures have been dressed up in these advanced mathematical representations?

Put your complex numbers and calculus to the test with this impedance calculation.

What is an AC voltage? How much power does an AC power source supply?

Matrices and Complex Numbers combine to enable us to create four dimensional numbers.

Investigate x to the power n plus 1 over x to the power n when x plus 1 over x equals 1.

Make a footprint pattern using only reflections.

To break down an algebraic fraction into partial fractions in which all the denominators are linear and all the numerators are constants you sometimes need complex numbers.

Solve the equation sin z = 2 for complex z. You only need the formula you are given for sin z in terms of the exponential function, and to solve a quadratic equation and use the logarithmic function.

Here the diagram says it all. Can you find the diagram?

There are many different methods to solve this geometrical problem - how many can you find?