Math 30800: Bridge to Advanced Mathematics

Supervisor: Pat Hooper

This course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include set theory, logic, mathematical induction, relations and orders, functions, Cantor's theory of countability, and development of the real number system. 3 HR./WK.; 3 CR. Prereq.: A grade of C or higher in MATH 20300 or MATH 21300 or placement by the Department.

View the Course Learning Outcomes (CLO) for the course. (These may vary slightly by semester according to instructor preferences.) This includes a list of the textbooks typically used.

Textbooks

The textbooks depend on the choices of the instructor. Often, the following two books are used:

• Mathematical Proofs: A Transition to Advanced Mathematics, by Chartrand, Polimeni, and Zhang. We use the 4th edition as of Spring 2022.

• Elementary Analysis, by Ross. We use the 2nd edition as of Spring, 2014. This book is freely available for download from Springer by students with a login.

Sections

For Spring 2025, the following sections are being offered:

Historical offerings