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MATH 471 - 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: C- or better in MATH 215 and MATH 267, or permission of the department chairperson.
4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture, Independent Study, Online (Asynchronous), Study Abroad 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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