Bridge to Advanced Mathematics

This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include logic, methods of proof, mathematical induction, axiomatic approach to group theory, number theory, set theory, relations and functions, Cantor’s theory of countability, and the development of the real number system. Throughout the course, students will be actively engaged in understanding, verifying and writing proofs, and will be introduced to methods of mathematics research.

Fall, Spring, Summer

028891