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The fundamental goal of this course is for students to acquire the ability to create and clearly express mathematical arguments through an exploration of topics from discrete mathematics. Students will learn various mathematical proof techniques while discovering such areas as logic, number theory, infinity, graph theory, and probability. A large component of the class is focused on problem solving and proof writing skills. The format of the course during the Spring 2021 semester will be a combination of lecture and discovery based learning. Students will attend remote synchronous lectures once a week. They will also have weekly small group meetings (30 minutes) with a TA and other classmates, and work through some course material independently.
Format: lecture; The format of the course during the Spring 2021 semester will be a combination of lecture and discovery based learning with weekly small group meetings.
Grading: yes pass/fail option,
yes fifth course option
Evaluation will be based primarily on homework, exams, and group meeting assignments.
Calculus at the level of an AP course or Williams College Math 130 or 140. Students who have taken a 300-level or 400-level math course should obtain permission of the instructor before enrolling.
As determined by instructor.
This course involve developing the formal mathematical language of logic and set theory. It also involves using quantitative tools to solve problems relating to combinatorics, probability, and other fields of discrete mathematics.