MATH 4130 - Honors Introduction to Analysis I

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

Fall, Spring. 4 credits. Student option grading.

Forbidden Overlap: due to an overlap in content, students will not receive credit for both MATH 3110 and MATH 4130.
Prerequisite: 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. Strong proficiency in writing proofs is expected. More experience with proofs may be gained by first taking a 3000-level MATH course.

Staff.

Introduction to the rigorous theory underlying calculus, covering the real number system and functions of one variable. Based entirely on proofs. The student is expected to know how to read and, to some extent, construct proofs before taking this course. 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.