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Course Criteria
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3.00 Credits
This course is the first in a sequence of mathematics courses for early childhood education majors. This course is designed to broaden understanding of fundamental concepts of algebra. The principle algebra topics to be taught in this course are: the Language of Algebra, Patterns, Relations, Functions, Equations, and Inequalities. Particular attention will be paid to connections between algebra and other mathematics topics such as arithmetic, geometry, graphical representations of situations, and real world/modeling applications. Specific methods and materials of instruction will be emphasized. This course will not be accepted as a part of the requirements for a major in mathematics. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
This course if the second in a sequence of mathematics courses for early childhood education majors. Topics include plane figures, polygons and tessellations, space figures, symmetric figures, systems of measurement, area and perimeter, volume and surface area, congruence and similarity mappings, and topological mappings. This course will not be accepted as a part of the requirements for a major in mathematics. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
This course is the third in a sequence of mathematics courses for early childhood education majors. This course focuses on recognizing, using, and learning about mathematics in the context of real-world situations and problems. Deliberate connection to the sciences, social sciences, and fine arts incorporate mathematical topics drawn from algebraic and non-algebraic functions, probability, and discrete mathematics. This course will not be accepted as a part of the requirements for a major in mathematics. Lecture/Lab Hours: Three hourse per week.
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3.00 Credits
This course is an in-depth study of counting principles. Topics include combinations, permutations, generating functions, recurrence relations, principles of inclusion and exclusion, and Polya’s theory of counting. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
Topics in this course include an introduction to the structure of groups, normal subgroups, Abelian groups, permutations, matrix groups, quotient groups, the Isomorphism Theorems, and group actions: Additional topics may include Cayley’s Theorem, the Sylow Theorems, the Fundamental Theorem of Finitely Generated Abelian Groups, rings, ideals, and integral domains. Lecture/Lab Hours: Three hours per week.
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3.00 Credits
This course is a continuation of the study of differential equations with emphasis on using ordinary and partial differential equations in the context of mathematical modeling. Lecture/Lab Hours: Three credit hours per week.
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4.00 Credits
This course is the first in a sequence of mathematics courses for middle grades education majors. Topics include review of algebraic concepts, algebra with multiple representations, problem solving, Data Analysis, and use of technology. The course is designed to strengthen algebraic knowledge for teaching at the middle grades level and to acquire knowledge of more advanced topics. Notes: This course will not be accepted as a part of the requirements for a major in mathematics. Lecture/Lab Hours: Four hours per week.
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4.00 Credits
This course is the second in a sequence of mathematics courses for middle grades education majors. Topics include principles of measurement and geometry such as two and three dimensional figures, constructions, and problem solving for students who are planning to teach at the middle grades level. The use of technology is included in this course. Notes: This course will not be accepted as a part of the requirements for a major in mathematics. Lecture/Lab Hours: Four hours per week.
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4.00 Credits
This course is the third in a sequence of mathematics courses for middle grades education majors. Topics include work with experimental and theoretical probability, probability distributions, and survey of calculus concepts such as limits, derivatives, and a brief introduction to integrals.
Notes: This course will not be accepted as a part of the requirements for a major in mathematics. Lecture/Lab Hours: Four hours per week.
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3.00 Credits
This course is a study of Euclidean and non-Euclidean plane geometry from both synthetic and metric approaches. Topics include concepts related to incidence, betweenness, plane separation and convexity, congruence, and parallelism, with some attention given to geometric transformations. Lecture/Lab Hours: Three hours per week.
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