Mathematics is considered to be hard and boring by many. Unfortunately, people develop this attitude to math and to sciences because of the way they were taught these subjects in schools and universities. However, it does not have to be this way at all! In this course, we will demonstrate to students that mathematics is a fun game -- and that in order to understand many deep mathematical ideas, one does not need to have a sophisticated mathematical background. Rather, one can go quite far in solving complex math problems using elementary methods.
Here is a sample problem:
Show that the number of odd partitions (containing odd parts only, i.e. 7=1+3+3) is equal to the number of distinct partitions (all parts are different, i.e. 7 = 1+2+4) for each integer n.