### Next Time in Maths Club: 24th April 2021

##### Zoom Maths Club - Using Mathematics to Put Humans on Mars (or not): Dr Ian Thompson
Mathematics isn't just about solving equations and proving theorems. It teaches us to understand the world: good mathematicians can apply their knowledge to real-world problems. This might be something as prosaic as avoiding a bad mortgage deal (dull but nevertheless very important), but we can also apply mathematics to many areas of science.

In this talk, we will use mathematics to examine the feasibility of a manned mission to Mars. After all, space travel is inherently mathematical ...

##### Zoom Maths Club - Numbers and Recurrent Relations: Dr Oleg Karpenkov
In this talk, we will discuss several recurrent formulas that appear in the enumeration of various natural objects:

(1) Catalan Numbers (chords, brackets, chessboard rook travel);
(2) Markov Numbers (building solutions of Markov equation);
(3) Bernoulli-Euler Numbers (Bernoulli snakes and Euler snakes);
(4) Fibonacci Numbers (adding squares along the longest side);
(5) Numbers of $k$-combinations (Pascal's Triangle).

These formulas provide a fast way to compute these numbers.