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Course Criteria
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3.00 Credits
Continuation of MTH 225 with emphasis on mathematical proof and graph-related structures. Review of mathematical induction; strong induction and structural induction; direct proof, proof by contraposition, and proof by contradiction; graphs and their representations and properties; relations, equivalence relations, and partial orderings; trees and tree traversals. Offered fall and winter semesters. Prerequisites: MTH 225.
Prerequisite:
Prerequisites: MTH 225.
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3.00 Credits
In-depth explorations of mathematical content and methods relevant to the development of grade PK-6 children's understanding, thinking processes, strategies, and problem-solving skills in the areas of fractions, decimals, and proportional reasoning. Field experience with children held in an elementary school. Offered fall and winter semesters. Prerequisite: MTH 226.
Prerequisite:
Prerequisite: MTH 226.
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3.00 Credits
In-depth explorations of mathematical content and methods relevant to the development of young children's early mathematical understanding, thinking processes, strategies, and problem-solving skills. Emphasis on grade PK-1 and exploring high-leverage topics (attribution-geometry-measurement, counting, early fractions, whole numbers) through strategic teaching tasks. Field experience with children held in an elementary school. Offered fall and winter semesters. Prerequisite: MTH 226.
Prerequisite:
Prerequisite: MTH 226.
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3.00 Credits
Emphasis on what mathematics is, how students learn mathematics, planning and instruction, assessment, and professional decision-making. Conceptual, constructivist, and cooperative activities assist middle grade teachers in helping their students learn mathematics connecting algebra, geometry, number, measurement, statistics, and probability. Twenty hours of service-learning with middle grade students required. Offered winter semester. Prerequisites: C or better in MTH 202, MTH 210, and one of MTH 229, MTH 322, MTH 323, or MTH 324; junior standing.
Prerequisite:
Prerequisites: C or better in MTH 202, MTH 210, and one of MTH 229, MTH 322, MTH 323, or MTH 324; junior standing.
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3.00 Credits
Critical analysis of Euclidean geometry from transformational, algebraic, and synthetic perspectives. Coordinate and vector geometry relating transformational geometry to linear algebra. Informal study of historical development of Euclidean and non-Euclidean geometries and the questions relating to the parallel postulate to develop understanding of axiomatic systems. Offered at least one semester per year. Prerequisites: MTH 210 and either MTH 204 or MTH 322.
Prerequisite:
Prerequisites: MTH 210 and either MTH 204 or MTH 322.
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3.00 Credits
Algebraic properties of the integers and the development of the rational, real, and complex number systems as algebraic structures. Topics from modern algebra include rings, integral domains, fields, and ring isomorphisms. Further study of algebraic structures using congruence arithmetic and factorization in the ring of integers and polynomial rings. Offered at least one semester per year. Prerequisites: MTH 210 and either MTH 225 or MTH 204.
Prerequisite:
Prerequisites: MTH 210 and either MTH 225 or MTH 204.
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3.00 Credits
Mathematical modeling under conditions of certainty and uncertainty. Linear programming, duality, and sensitivity analysis. Markov chains and other stochastic processes. Applications to problems in transportation, scheduling, and resource allocation. Offered winter semester. Prerequisites: MTH 204 or MTH 302.
Prerequisite:
Prerequisites: MTH 204 or MTH 302.
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1.00 - 9.00 Credits
Readings, lecture, discussions, or lab (or any combination) in specific mathematics topics. Permission of the instructor required. Offered on sufficient demand. Prerequisites: dependent upon topic selected.
Prerequisite:
Prerequisites: dependent upon topic selected.
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1.00 - 6.00 Credits
Of varying focus, the course makes use of the history, culture, and society of a host country in order to highlight mathematics education perspectives in context. To be taught in that country (or countries) as part of an approved study abroad program. By permit only. Credit may vary.
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1.00 - 4.00 Credits
Hours, credit, topics, and time to be arranged with individual staff members with approval of the department. Offered upon sufficient demand. Credits: 1 to 4
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