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MAT 197: Independent Study in Mathematics
1.00 - 4.00 Credits
University of Maine at Farmington
An opportunity to pursue selected topics under the supervision of a faculty member. Prerequisite(s): Four credit hours in mathematics and permission of instructor. Variable. Credit: 1-4
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MAT 197 - Independent Study in Mathematics
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MAT 220M: Data Analysis
3.00 Credits
University of Maine at Farmington
This course is intended for those majoring in mathematics, secondary mathematics education, or computer science. The course is designed to contain the content of AP statistics, but at the deeper level required for pre-service teachers. Topics covered include descriptive statistics, regression and correlation, sampling and experimentation, basic probability, normal distributions, sampling distributions, point estimation confidence intervals, hypothesis testing for means and proportions, two-sample t-tests for means, chi-squared tests, and possible other topics. Appropriate technology will be used. Students may not receive credit for both MAT 120M and MAT 220M. Prerequisite(s): MAT 141M or permission of instructor. Every year. Credit: 4
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MAT 220M - Data Analysis
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MAT 241: Calculus III
4.00 Credits
University of Maine at Farmington
Multivariable calculus including vectors; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; multiple integrals; line and surface integrals; and Green's and Stokes' theorems. Prerequisite(s): MAT 142. Every fall. Credit: 4
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MAT 241 - Calculus III
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MAT 242: Differential Equations
4.00 Credits
University of Maine at Farmington
An introduction to Ordinary Differential Equations focusing on first order equations, linear equations of higher order, systems of differential equations, and basic numerical methods. Other topics will be considered as time permits. Prerequisite(s): MAT 142. Every spring. Credit: 4
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MAT 242 - Differential Equations
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MAT 251: Linear Algebra
4.00 Credits
University of Maine at Farmington
Introduction to linear algebra and its applications. Topics may include matrix operations, systems of linear equations, determinants, vector spaces, linear transformations, orthogonality, eigenvalues, Markov processes, linear programming and the use of mathematical software in modeling and problem solving. Prerequisite(s): MAT 151M or permission of instructor. Every semester Credit: 4
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MAT 251 - Linear Algebra
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MAT 277: Elementary Topics in Mathematics
1.00 - 4.00 Credits
University of Maine at Farmington
Each time this course is offered a mathematical topic will be chosen which requires college mathematical experience. The topics which will be covered will be the ones which are not covered in the regular course offerings of the division. Prerequisite(s): 8 credits in mathematics. Variable. Credit: 1-4
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MAT 277 - Elementary Topics in Mathematics
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MAT 304: College Geometry
4.00 Credits
University of Maine at Farmington
This course examines Euclidean geometry of the plane in comparison with geometry on the sphere and other surfaces, examines the structure of Euclidean geometry as an axiomatic system, and looks at isometries and tiling as well as other topics in geometry such as other dimensions and trigonometry on the sphere. The historical context of geometry, the nature of geometric proof and writing to explain geometric ideas are included. Prerequisite(s): 10 credits of mathematics including MAT 141M and MAT 151M. Every year. Credit: 4
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MAT 304 - College Geometry
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MAT 313: Introduction to Abstraction
4.00 Credits
University of Maine at Farmington
This class is intended to introduce future elementary teachers to processes of abstract mathematical reasoning, using logic and group theory as models. Prerequisite(s): 12 credits of mathematics including MAT 141M. Every year. Credit: 4
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MAT 313 - Introduction to Abstraction
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MAT 320: History of Mathematics
4.00 Credits
University of Maine at Farmington
The history of mathematics from antiquity to the twentieth century, with emphasis placed on the major developments of arithmetic, algebra, and geometry. Problems will be solved in the historical context. The cultures in which mathematics developed will also be discussed.Prerequisite(s): 12 hours of mathematics including MAT 141M. Every year. Credit: 4
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MAT 320 - History of Mathematics
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MAT 333: Graph Theory and Combinatorics
4.00 Credits
University of Maine at Farmington
The two areas of Mathematics considered in this course highlight the interplay between different parts of Mathematics. The elementary and sophisticated counting methods of Combinatorics elucidate properties of Graphs while the Theory of Graphs stimulates and provides insights into counting methods. Applications to the understanding of problems are an integral part of the course. Prerequisite(s): MAT 151M. Every two years. Credit: 4
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MAT 333 - Graph Theory and Combinatorics
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