Board games have a long history of use as both entertainment and as a training ground for higher-level reasoning and analysis. Recent innovations in board game design have produced games (so-called euro-style games) that are mathematically sophisticated and embody systems that model different aspects of reality. In this course we will use board games to explore and analyze different mathematical systems and structures as well as to develop and apply skills in strategic thinking. Topics will include probability, modeling, and network theory.

Topics include differential and integral calculus of functions of several variables.

Topics include differential and integral calculus of functions of several variables.

An introduction to abstract reasoning in the context of real analysis. Topics will be drawn from the real numbers, mathematical induction, functions, sequences, and continuity. The emphasis is on formal mathematical reasoning and writing through proofs.

Topics include elements of the theory of matrices and vector spaces.

Topics include elements of the theory of matrices and vector spaces.

Topics include elements of the theory of matrices and vector spaces.

Studies some aspects of discrete mathematics. Topics include sets, functions, elementary probability, induction proofs, and recurrence relations.

Studies some aspects of discrete mathematics. Topics include sets, functions, elementary probability, induction proofs, and recurrence relations.

Studies some aspects of discrete mathematics. Topics include sets, functions, elementary probability, induction proofs, and recurrence relations.