MATH 4130

MATH 4130

Course information provided by the 2026-2027 Catalog.

Introduction to the rigorous theory underlying calculus, covering the real number system and functions of one variable. Topics typically include construction of the real number system, properties of the real number system, continuous functions, differential and integral calculus of functions of one variable, sequences and series of functions. Based entirely on proofs. The student is expected to know how to read and, to some extent, construct proofs before taking this course. More experience with proofs may be gained by first taking a 3000-level MATH course.


Prerequisites high level of performance in a semester of linear algebra (MATH 2210, MATH 2230, MATH 2310, or MATH 2940) and a semester of multivariable calculus (MATH 2220, MATH 2240, or MATH 1920), or equivalent.

Forbidden Overlaps MATH 3110, MATH 4130

Distribution Requirements (MQL-AG, OPHLS-AG), (SMR-AS)

Last 4 Terms Offered 2026SP, 2025FA, 2025SP, 2024FA

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Syllabi: none
  •   Regular Academic Session.  Choose one lecture and one independent study.

  • 4 Credits Stdnt Opt

  • 14196 MATH 4130   LEC 001

    • TR
    • Aug 24 - Dec 7, 2026
    • Sjamaar, R

  • Instruction Mode: In Person

  • 14198 MATH 4130   IND 601

    • Aug 24 - Dec 7, 2026
    • Sjamaar, R

  • Instruction Mode: Independent Studies

Syllabi: none
  •   Regular Academic Session.  Choose one lecture and one independent study.

  • 4 Credits Stdnt Opt

  • 14197 MATH 4130   LEC 002

    • TR
    • Aug 24 - Dec 7, 2026
    • Zhou, X

  • Instruction Mode: In Person

  • 14199 MATH 4130   IND 602

    • Aug 24 - Dec 7, 2026
    • Zhou, X

  • Instruction Mode: Independent Studies