MTH 311LR - Introduction to Higher Mathematics

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

Requisites:
Pre-Requisite: MTH 241 or MTH 251 or Permission of Instructor.