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Dec 21, 2024
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Website Catalog (In Development)
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MAT 266 - Introduction to Real Analysis
This course provides a rigorous introduction to the concepts of axiomatics, sets, measures, functions, sequences, series, integration/differentiation and metric spaces. Emphasis will be placed on writing mathematics clearly, especially regarding proofs. Recommended for Mathematics majors or Computer Science and Engineering Science students as advised.
Prerequisite- Corequisite
Prerequisite: MAT 281 Calculus III or permission of the instructor
Credits: 3
Hours
3 Class Hours
Course Profile
Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
- Interpret and prove various theorems from set theory within the axiomatic structure of number sets.
- Identify various traits of sets of real numbers and real-valued functions.
- Prove various results about sets of real numbers and real-valued functions.
- Define multiple types of convergence for sequences of numbers or functions and write proofs of convergence using various convergence theorems.
- Generalize the basic theory of the course to the idea of more general metric spaces.
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