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MATH 4130

Honors Introduction to Analysis I

4.0 credits · Undergraduate

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.

fall 2026

Readings

  • Strichartz, Robert, The Way of Analysis (revised edition), Jones & Bartlett Publishers, 2000 (ISBN: 0-7637-1497-6).
    Listed textbook

Prerequisites & course information

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.

Sources
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