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Course Criteria
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3.00 Credits
Random sampling, the Law of Large Numbers, estimation of parameters, Central Limit Theorem, confidence intervals, regression analysis, sampling from a normal population, and testing hypotheses are studied.
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3.00 Credits
TOPICS IN NUMB THEORY
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3.00 Credits
Foundational aspects of geometry, postulational systems and their properties, Euclidean geometry from both the metric and the synthetic viewpoints, finite geometries, non-Euclidean geometries, and geometric transformations are studied.
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3.00 Credits
Mappings and relations, concepts of lattices and categories, basic properties of monoids, semi-groups and groups, homomorphisms and isomorphism, study of various group structures and their properties, homomorphism and isomorphism theorems, groups with operators, normal series, direct products of groups, and category of groups are covered.
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3.00 Credits
PRIN OF COMPUTER PROG
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1.00 - 6.00 Credits
This course is designed to enable the student to pursue interests in some area of mathematics. The function of this course is not to introduce the student to beginning concepts. Rather, it is to permit the student to pursue the study of topics encountered in courses already taken. It is expected that the student will have had at least two courses in the program in her or his area of interest (algebra, analysis, topology, geometry, etc.) before enrolling in MAT 580.
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3.00 Credits
This General Education introductory-level course will examine mathematics as art. The work of both historical and contemporary mathematicians will be studied with a focus on their content and form as well as those who influenced their mathematical work. Mathematical topics related to their contributions will be discussed with an emphasis on developing an appreciation of the beauty of mathematics. This course cannot be used by mathematics majors to fulfill mathematics major program requirements.
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3.00 Credits
The nature of mathematics and mathematical thought processes; current views on the learning and teaching of mathematics; problem-solving; discovery learning; meaningful instructional objectives; individualizing instruction in mathematics; aids to instruction; instructional strategies in mathematics education. Open to Senior Secondary Education Mathematics majors, Senior Elementary Education majors with a Mathematics Concentration and to graduate students in mathematics education.
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3.00 Credits
This course is designed to prepare both elementary and secondary teachers to teach mathematics in the middle school. Various instructional strategies will be examined and discussed. A significant portion of the course will be devoted to the content and methods of middle school mathematics. The course will include the presentation of some activities that middle school students can use to discover mathematical concepts. Open to Senior Secondary Education Mathematics majors; Senior Elementary Education majors with a Mathematics Concentration and to graduate students in mathematics education.
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3.00 Credits
This course is an introduction to the rationale and procedures for educational research. Types of research, selection of a research problem, the use of the library, collection and application of data, background for the preparation of research, and the research report are subjects covered.
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