problem

### Sheep in wolf's clothing

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

problem
###
Sheep in wolf's clothing

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

problem
###
Impedance can be complex!

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

problem
###
Two and Four Dimensional Numbers

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

problem
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Sextet

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

problem
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Complex partial fractions

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.

problem
###
Complex Sine

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.

problem
###
Three by One

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