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Course Prefix: MTH   Course #: 311   Keywords: null   showing 1 to 1 of ~1

MTH 311LR Introduction to Higher Mathematics

Lecture

Develops the student's ability to read, comprehend and construct rigorous proofs. Topics may include the following: the number systems N, Z, Q, R and the existence of irrational numbers; sets and functions; size of sets(finite/infinite, countable/uncountable); the countability of the rationals and the uncountability of the real numbers; boundedness; upper and lower bounds; lub's and glb's; lub and glb property; density of the rationals in the reals; Archimedean property of the reals; mathematical induction, including strong induction and the well-ordering of the natural numbers; sequences of real numbers, including the Monotone Convergence Theorem, Cauchy sequences, and the Bolzano-Weierstrass Theorem.

Credits: 4
Grading: Graded (GRD)
Typically Offered: Fall, Spring
Prerequisites: MTH 241 or MTH 251 or Permission of Instructor. Math Majors and Minors only.
 
Published: May 26, 2020 07:08:36