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Course Criteria
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3.00 Credits
This course provides a mathematical treatment of the fundamental concepts of problem solving, reasoning, uncertainty, data analysis, technology, geometry, and developmentally appropriate strategies and activities as they relate to elementary mathematics curriculum. This course is limited to childhood/middle childhood education majors.
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3.00 Credits
This course covers differential calculus. We begin with Precalculus review incorporating parametric equations via an introduction to the computer algebra system Maple. The course covers the following topics: limits, continuity, derivatives (definition, properties, interpretation, techniques, and applications). Technology will be integrated throughout this course. Suggested preparations: Four years of high school college preparatory mathematics or MAT 113.
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3.00 Credits
This course covers integral calculus, with topics including: antidifferentiation and indefinite integrals, Riemann sums and definite integrals, the Fundamental Theorem of Calculus, integration by substitution, applications, techniques of integration, numerical integration techniques and error bounds, improper integrals. Polar coordinates and related calculus will be included as time allows. Technology will be integrated throughout this course. Prerequisite: MAT 201 or equivalent Take MAT-201;
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3.00 Credits
The theories of the calculus of vector functions, partial differentiation, multiple integration and advanced infinite series are covered in this course. Technology will be integrated throughout this course. Prerequisite: MAT 202 or the equivalent. Take MAT-202;
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3.00 Credits
Solutions of first and second-order differential equations with constant coefficients are discussed, along with additional methods taken from power series, systems of equations, and solution of elementary partial differential equations. Applications from chemistry, biology, physics, and economics are presented. Technology will be integrated throughout this course. Prerequisite: MAT 202 Take MAT-202;
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3.00 Credits
An intuitive approach to the meaning of statistics as an interpretive tool, this course covers techniques of exploratory data analysis, probability distributions, normal distributions, statistical inference, hypothesis testing, linear regression and correlation, analysis of enumerative data, and an introduction to analysis of variance. Integrated into these topics will be an introduction to the use of computers. Not open to students who have completed any college-level statistics course. Suggested preparation: A beginning algebra course
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3.00 Credits
This course will bridge the gap between introductory courses such as Calculus I and II adn the higher-level courses. Its purpose is to develop facility at reading and writing correct formal mathematical reasoning. Skills will be developed by exploring topics such as: sequences and series, logic and proof, set theory, relations and functions, and number theory. Prerequisites: MAT 201 & 202. Take MAT-201 MAT-202;
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3.00 Credits
This course covers sampling techniques, decision theory, estimation, hypothesis testing, regression and correlation, analysis of variance, linear models, nonparametric statistics, and design of experiments (time permitting). Prerequisite: MAT 303 Take MAT-303;
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3.00 Credits
Axiomatic foundations of Euclidean and other geometries, introduction to non-Euclidean geometries and their models, and transformations and other approaches to plane geometry will be studied. Suggested preparation: One college level math course.
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3.00 Credits
This course is designed to give the student an introduction to the principles and practice of mathematical modeling. Emphasis will be placed on the entire problem-solving process, which includes: problem identification; model selection or design; model implementation and verification; model revision. Possible techniques include: linear systems of equations, difference equations, differential equations, matrix algebra, linear programming, dynamic programming, Markov processes. Throughout, students will be led to understand the scope and limitations of such models. Prerequisite: MAT 202 Take MAT-202;
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