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Course Criteria
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3.00 Credits
Designed for students in the MAT program seeking initial certification in early childhood or middle grades, this course focuses on developing a deep understanding of the concepts and techniques related to numbers, numerations systems, and numerical operations. Collaboration, critical thinking, hands-on explorations using manipulatives, problem-based inquiry, and technological tools will be used.
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3.00 Credits
Designed for students in the MAT program seeking initial certification in early childhood or middle grades, this course focuses on developing a deep understanding of the concepts related to spatial sense, geometry and measurement. Collaboration, critical thinking, hands-on explorations using manipulatives, problem-based inquiry, and technological tools will be used.
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3.00 Credits
Designed for students in the MAT program seeking initial certification in early childhood or middle grades, this course focuses on developing a deep understanding of the concepts and techniques related to algebraic thinking, probability, and making predictions and decisions through collecting, representing and analyzing data. Collaboration, critical thinking, hands-on explorations using manipulatives, problem-based inquiry, and technological tools will be used.
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3.00 Credits
This course serves as an introduction to time-to-event (survival) data analysis. Both theory and applications are covered and methods include non-parametric, parametric, and semi-parametric (Cox model) approaches.
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3.00 Credits
A study of the real number system and functions. Topics include sequences, limits, continuity, differentiation and integration.
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3.00 Credits
A study of differentiation and integration of functions on n-dimensional Euclidian space. Other topics include the elementary theory of metric spaces, infinite sequences and series, and Fourier series.
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3.00 Credits
A study of the fundamental concepts of plane geometry, both metric and non-metric and an introduction to finite, coordinate, non-Euclidean and projective geometries.
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3.00 Credits
An advanced study of group theory.
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3.00 Credits
Further study of advanced ring theory. An advanced study of field theory including extension fields and Galois theory.
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3.00 Credits
A detailed study of combinatorics, probability, mathematical expectation, discrete and continuous distributions, bivariate, multivariate and conditional distributions, moment generating functions, functions of random variables, transformation and change of variables, order statistics, convergence concepts, sampling distributions and the central limit theorem.
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