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MATH 4130 — Honors Introduction to Analysis I

General Information

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.

Full Cornell course description (FA26)

Credits: 4

Prerequisites and Enrollment

Prerequisites: minimum grade of A- in MATH 2210 or MATH 2230 or MATH 2310 or MATH 2940; minimum grade of A- in MATH 2220 or MATH 2240 or MATH 1920; or equivalents.

Forbidden overlaps: MATH 3110, MATH 4130

Recorded Offerings

SemesterListed instructorsCourse details
Fall 2026Reyer Sjamaar, Xin ZhouRoster / syllabus
Spring 2026Anil NerodeRoster / syllabus

Workload and General Advice

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Course information checked against Cornell’s Spring and Fall 2026 rosters on September 18, 2026. The listed semesters are verified examples, not a complete offering history.