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MTH 3114 creditsPrereq: Pre-Requisite: MTH 241 or MTH 251 or Permission of Instructor.

MTH 311: Introduction to Higher Mathematics

72 public student ratings, updated Oct 2026 · no written reviews yet

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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.
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Mathematics

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Professors who have taught MTH 311

  • Adam Sikora
  • Hanfeng Li
  • James Faran
  • James Reineck
  • Jon Kraus
  • Joseph Hundley
  • Michael Cowen
  • Thomas Cusick
  • Xiaoqing Li
  • Yiqiang Li

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