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MATH 571 - Real Analysis 1 |

Real number systems: least upper bound property, Archimedean property and their consequences; Basic topology: cardinality, metric spaces, completeness, compactness, connectedness; Numerical sequences and series: convergence tests, upper-lower limits; Continuity: continuous functions, uniform continuity, Intermediate and Extreme Value Theorems; Differentiability; l'Hospital's Rule, Taylor's Theorem; Riemann(-Stieltjes) integral and Fundamental Theorem of Calculus. Time permitting, instructors may add more material that exemplifies the above topics. Prerequisite recommended: MATH 215 and MATH 267. Not open to students who have credit in MATH 471.
4.000 Credit hours 4.000 Lecture hours Levels: Graduate Schedule Types: Lecture, Seminar, Online (Asynchronous), Study Abroad Mathematical Sciences Department Restrictions: Must be enrolled in one of the following Levels: Graduate Prerequisites: |

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