MATH 550 Mathematical Analysis

Calculus is developed rigorously from the ground up, beginning with ordered field axioms. Basic algebraic properties are derived followed by elementary results for subsets of the set of real numbers, including inf, sup, and transfinite sets. On this foundation, we define sequences and their limits, covering the Bolzano-Weierstrass theorem, Cauchy sequences, lim inf, lim sup. Corresponding results for limits of realvalued functions then lead to the derivative.

Prerequisite: MATH 300 with a grade of C- or better or consent of the department.  

Related Offerings:

MATH 510 Applied Statistical Methods (3 credit hrs.) (Summer 2024)
MATH 520 Number Theory (3 credit hrs.) (Summer 2025)
MATH 530 Abstract Algebra (4 credit hrs.) (Fall 2023 & Fall 2025)
MATH 540 Modern Geometries (4 credit hrs.) (Winter/Spring 2024 & Winter/Spring 2025)
MATH 550 Mathematical Analysis (4 credit hrs.) (Fall 2024)

University of Indianapolis

Semester: Full Fall 2024

Instructor: Jeff Oaks

Credit Hours: 3 Graduate

Date: 8/26/24 – 12/14/24

Location: Online

Teacher Level: Grades 9-12

Graduate Certificate Available: Yes

Master’s Completion Option: Yes

MATH 550 Syllabus

Master of Arts in Curriculum & Instruction