MATH 300 | Introduction to Theoretical Mathematics

This course covers the fundamentals of theoretical mathematics with a particular focus on writing clear and rigorous mathematical proofs. The course introduces mathematical logic, set theory, function theory, equivalence relations, cardinality, and the Axiom of Choice. It also exposes students to a variety of subfields of theoretical mathematics, which may include abstract algebra, real analysis, topology, number theory, and/or combinatorics. Throughout the course, students learn standard mathematical writing conventions and proof techniques such as direct proofs, proof by contradiction, and mathematical induction. After completing this course, students will have the foundations to take other theoretical mathematics courses and will have a better understanding of the different fields of mathematics. This course is a prerequisite for all other courses in the department that focus on theoretical mathematics.