In this question we push the pH formula to its theoretical limits.

Investigate the mathematics behind blood buffers and derive the form of a titration curve.

How does the half-life of a drug affect the build up of medication in the body over time?

Looking at small values of functions. Motivating the existence of the Taylor expansion.

A weekly challenge concerning prime numbers.

Can you locate these values on this interactive logarithmic scale?

What is the total area of the triangles remaining in the nth stage of constructing a Sierpinski Triangle? Work out the dimension of this fractal.

Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.

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.

Compares the size of functions f(n) for large values of n.

Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?