2016-2017 Academic Bulletin 
    
    Jul 23, 2021  
2016-2017 Academic Bulletin [ARCHIVED CATALOG]

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 160  with a grade of “C” or better and sophomore standing, or permission of instructor.

Distribution Requirements: ME, SP.

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