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Graduate Mathematics

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Graduate Mathematics

2022 Summer Term

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3 Units

ADVANCED TOPICS IN GEOMETRY AND TRIGONOMETRY

MATH 624

The course material is centered around concepts in geometry and trigonometry including geometric transformations in 2 and 3 dimensions, their representations by matrices, and equations with complex numbers. Metric spaces, minimum distance problems, quadratic, arithmetic, geometric, harmonic means. Area, volume and geometric probability. Multiple representations of the trigonometric functions and their identities. An individual research project is to be completed.


3 Units

PROBABILITY AND STATISTICAL INFERENCE

MATH 649

Foundations associated with quantifying and modeling chance and randomness with a focus on the role probability plays in statistical inference. Topics include set theory, combinatorics, random variables, selected discrete and continuous probability distributions, probability distributions for commonly used statistics, and the logic and applied use of probability in formulating and conducting hypothesis tests.

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