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

MTH 311LR Introduction to Higher Mathematics

View Schedule 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.

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Published: Jun 28, 2019 08:24:47