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Course Criteria
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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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1.00 - 4.00 Credits
(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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
(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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