MATH 378 - Number Systems

Institution:

California State University-San Marcos

Subject:

Description:

Numbers: natural, rational, real, complex. Algebraic laws: commutative, associative, distributive. Brief introduction to groups, rings and fields. Divisibility and unique factorization for integers and polynomials. Integers modulo n as finite rings and fields. The rational numbers as a non-complete countable ordered field. The real numbers as a complete uncountable ordered field. Sequences and limits including Cauchy sequences, lim inf and lim sup. Complex numbers including De Moivre's theorem and related trigonometric identities. Factoring polynomials over the various number systems. The Fundamental Theorem of Algebra. Prerequisite: MATH 350 or MATH 370 with a grade of C (2.0) or better.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.csusm.edu

Phone Number:

(760) 750-4000

Regional Accreditation:

Western Association of Schools and Colleges

Calendar System:

Semester

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