Discrete Mathematics: Gateway to Advanced Mathematics

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There is a world of mathematics beyond what students learn in high-school algebra, geometry, and calculus courses. This seminar serves as an introduction to this realm of elegant mathematical ideas. With an explicit goal of improving students’ mathematical reasoning and problem-solving skills, this seminar provides the ultimate intellectual workout. Five important themes are interwoven in the course: logic, the nature of proof, combinatorial analysis, discrete structures, and mathematical philosophy. For conference work, students may choose to undertake a deeper investigation of a single topic or application of discrete mathematics or to conduct a study in some other branch of mathematics. This seminar is a must for students interested in advanced mathematical study and highly recommended for students with an interest in computer science, law, or philosophy. Some prior study of calculus is required.