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MATH 411 - Real Analysis |

This is a course that covers Lebesgue measure and integration. Lebesgue integrals extend the range of functions that can be integrated in the familiar Riemann sense first encountered in calculus. Lebesgue integration places real analysis on the equivalent complexity level of rigorous probability theory. Probability in economics, for example, arises from integration of random processes such as Brownian motion used in asset pricing models and risk analysis. The course will include the study of measurable sets, existence of non-measurable sets, measurable functions and integrable functions. Text: Measure and Integral, An Introduction to Real Analysis, R L Wheeden and A Zynmund, 2nd Ed, CRC Publishing, 2015. Prerequisites: Math 310 Analysis or equivalent. Limited to students enrolled in the MAST graduate program, to advanced undergraduate mathematics majors and to economics graduate students by permission. 3.000 Credit hours 3.000 Lecture hours Levels: MN or MC Graduate, Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Mean Grade is Calculated Restrictions: Must be enrolled in one of the following Programs: Non-degree, Math & Statistics MS in Math and Statistics Must be enrolled in one of the following Levels: MN or MC Graduate Prerequisites: MATH 310 |

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