Discrete Mathematics & Advanced Topics

In this course, students will have the chance to learn a range of discrete math topics and grapple with a range of different problems that fall outside the spectrum of traditional high school mathematics. Topics covered may include finite sets and partitions, enumeration, probability, expectation, random variables, and elementary number theory, with an emphasis on applications of discrete mathematics, and fair division, voting systems, graph theory, chaos theory and non-Euclidean geometry. Students will be able to answer questions like: “how many Beaver students are involved in a theater production and in an athletic sport throughout the school year?”, “what is the probability of picking at least three red marbles out of a bag of seven white marbles and five red marbles?”, “find the value of 7 mod 4”, “if there is a car accident, what is the probability the person is between the ages of 16-21?” and “what states have both a pro basketball team and a pro hockey team?” Students will also be asked to think creatively and apply their knowledge to complex real-world problems. Students can opt to take this class at the Honors level. 

Open to Grade Levels: 11, 12, or by departmental approval.

• Interests: Business, Engineering, Law, Politics, Research, Sports
• Grades: 11th, 12th
• Subjects: Mathematics