As a crazy idea in a coffee break after a boring lecture I suggested my students and colleges that we can have some fun in our department by participating in a "Mathematical Olympic Games". They supported the idea extensively and now we are in choosing/designing games phase. Beside usual games with mathematical aspects like Sudoku, Rubik Cube, Origami, etc. I suggested that it could be very useful if we invent some games inspired by usual material of undergraduate courses like Algebra, Analysis, Number Theory, Graph Theory, etc. because participating in such games helps students to become more familiar with actual applications of what their teachers are trying to teach them. Also if teachers are amongst participants/referees they can help students by their advisement too.
Question. What are good examples of mathematical games inspired by the usual subjects of undergraduate courses? Please specify that for improving abilities in which undergraduate courses your suggested game is good.
Remark. All other suggestions for interesting games are welcome.