Mathematics 205 - Foundations of Mathematics

Institution:

Allegheny College

Subject:

Description:

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. It is recommended that a major complete this course before the end of the sophomore year. Prerequisite: Completion of Mathematics 160 with a grade of "C" or better and sophomore standing, or permission of instructor

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.allegheny.edu

Phone Number:

(814) 332-3100

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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