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MAT 242: Geometric Foundations For Secondary Mathematics Educators
3.00 Credits
University of Maine at Augusta
This course is designed for teachers and prospective teachers of secondary mathematics. Students will actively explore Euclidean and non-Euclidean geometry and proof. Historical perspectives, mathematical interrelationships, appropriate use of technologies, related Maine State Learning Results, performance indicators and assessment tools will be stressed throughout the course. Prerequisite: appropriate score on the UMA placement test or a grade of "C" or better in MAT112 or successful completion of MAT124 or higher. CR. 3
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MAT 242 - Geometric Foundations For Secondary Mathematics Educators
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MAT 262: Linear Algebra
3.00 Credits
University of Maine at Augusta
An introduction to theory and applications of vector spaces and linear transformations. The course includes matrices, determinants, vector spaces, inner product spaces, linear transformations, Eigenvalues, and Eigenvectors. Prerequisite: MAT125 or permission. CR. 3
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MAT 262 - Linear Algebra
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MAT 280: Discrete Mathematical Structures cr
3.00 Credits
University of Maine at Augusta
This is a course for computer information systems students on topics which are particularly relevant to their mathematics background. The topics covered are sets, functions and relations, digraphs, order relations, trees, groups, finite state machines, and languages. Prerequisite: a grade of "C" or better in MAT112.
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MAT 280 - Discrete Mathematical Structures cr
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MAT 281: Discrete Mathematical Structures II
3.00 Credits
University of Maine at Augusta
This course is a second course in discrete mathematics and includes topics such as counting principles and combinatorics, graph theory, trees and networks, Boolean algebra and circuits, and analysis of algorithms. Prerequisite: MAT280. CR. 3
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MAT 281 - Discrete Mathematical Structures II
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MAT 289: Topics in Mathematics
1.00 - 4.00 Credits
University of Maine at Augusta
(Topic would be indicated.) An independent study undertaken by special arrangement with the Mathematics Department or a special course created at the request of a group of students with specific interests that are not served by a regularly scheduled course. CR. 1-4
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MAT 289 - Topics in Mathematics
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MAT 301: Number Theory
3.00 Credits
University of Maine at Augusta
Number Theory is the study of properties of whole numbers such as prime and composite numbers, divisibility, congruences and indeterminate problems. It is one of the oldest branches of mathematics but many of its topics and problems are of interest today. Prerequisite: MAT112. CR. 3
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MAT 301 - Number Theory
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MAT 302: The History of Mathematics
3.00 Credits
University of Maine at Augusta
A survey of the development of mathematics from the dawn of history to recent times. The development of mathematical ideas as well as the solution of problems and application of mathematics throughout the centuries will be stressed. Prerequisite: MAT112. CR. 3
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MAT 302 - The History of Mathematics
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MAT 303: Advanced Geometry
3.00 Credits
University of Maine at Augusta
A study of advanced topics in geometry including classic Euclidean construction, the axiomatic foundations of geometry of the plane, algebraic models for geometry, important theorems such as the Theorem of Ceva and the Theorem of Menelaus along with applications. Prerequisite: high school geometry and MAT112. CR. 3
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MAT 303 - Advanced Geometry
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MAT 304: Abstract Algebra
3.00 Credits
University of Maine at Augusta
An introduction to abstract algebraic structures such as groups, rings and fields along with polynomials and mappings. Prerequisite: MAT125. CR. 3
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MAT 304 - Abstract Algebra
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MAT 315: Applied Statistics And Data Analysis
3.00 Credits
University of Maine at Augusta
(This course is cross listed with BUA315.) Students will have opportunities to formulate hypotheses, collect data via a questionnaire to test those hypotheses, code and transcribe data into the SPSS program, use SPSS for statistical analysis, and present the results in a research paper format. The student will be exposed to more advanced statistical methods of analysis (e.g., ANOVA, regression). Prerequisites: MAT115 and a working understanding of Windows; CIS100 or CIS101 recommended. CR. 3
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MAT 315 - Applied Statistics And Data Analysis
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