MATH 205 - Foundations of Mathematics

Credits: 4
An introduction to concepts encountered in the study of abstract mathematics. Topics covered include logic, mathematical proofs, set theory, relations, functions, mathematical induction, and introductory number theory. The concepts of injectivity, surjectivity, and inverses are discussed as well as elementary computational tools such as the Division Algorithm and Euclid’s algorithm for the greatest common divisor. Additional topics may include cardinality, combinatorics, graph theory, algebraic structure, the real number system, and concepts of mathematical analysis.

Prerequisite: MATH 152   or MATH 160, with a grade of C or better.

Distribution Requirements: ME, SP.

It is recommended that Mathematics majors complete this course before the end of the sophomore year.

This course may substitute for the combination of CMPSC 480  and CMPSC 481  in the computer science major.