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MATH 471 - Real Analysis 1 |

Real and complex number systems: ordered sets, least upper bound property, fields, Archimedean property; 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; Differentiation: derivative, Mean Value Theorem, l'Hospital's Rule, Taylor's Theorem. Prerequisite: C- or better in MATH 215 and 267; or permission of the department chairperson.
4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture, Independent Study Mathematical Sciences Department Restrictions: Must be enrolled in one of the following Levels: Undergraduate Graduate Prerequisites: Undergraduate level MATH 215 Minimum Grade of C- and Undergraduate level MATH 267 Minimum Grade of C- |

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