A broad introduction to graphs and what makes them interesting! Problems and examples will be used to motivate concepts. For example, Euler and the Seven Bridges of Königsberg. Will see some ways to traverse graphs, and various representations and properties of graphs. No prior knowledge of graphs needed, only curiosity! About half lecture and half problem solving.

Do you like whole numbers? Do you think they are simple? This class may change your mind. We will introduce topics such as prime numbers and divisibility rules, and work up to harder concepts at the end. Fun problems will be used to motivate topics. You do not need to know any number theory beforehand.

Learning about basic graph theory and using our knowledge to implement simple graph algorithms. For example, we will cover Euler tours and graph colorings.