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Course Criteria
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4.00 Credits
This course covers basic concepts of statistics and probability appropriate for elementary and middle school teachers. Topics include statistical techniques for organizing, summarizing, presenting, and interpreting data sampling techniques; simulation methods; counting techniques; and analytic methods in probability. Computers are used to reinforce major course ideas. Prerequisites & Corequisites: Prerequisite: MATH 1500 with a grade of "C'' or better. Credits: 4 hours
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4.00 Credits
Vectors and geometry in two and three dimensions, matrix algebra, determinants, vector differentiation, functions of several variables, partial differentiation, linear transformations, multiple integration, and change of variables. The computer algebra system Maple will be used to explore some of these topics. Prerequisites & Corequisites: Prerequisite: MATH 1710 or MATH 1230. Credits: 4 hours
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3.00 Credits
The prime objective of this course is to involve the students in the writing and presenting of mathematical proofs. The topics in this course will include logic, types of proof, sets, functions, relations, mathematical induction, proofs in an algebraic setting such as divisibility properties of the integers, proofs in an analytic setting such as limits and continuity of functions of one variable. Additional topics may include elementary cardinal number theory, paradoxes and simple geometric axiom systems. This course is approved as a writing-intensive course which may fulfill the baccalaureate-level writing requirement of the student's curriculum. Prerequisites & Corequisites: Prerequisites: MATH (1230 or 1710) and MATH (2300 or 3740). Credits: 3 hours
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4.00 Credits
This course introduces the abstract algebraic concepts of groups, rings, and fields, and shows how they relate to the problem of finding roots of polynomials. Topics include: Properties of the integers, congruences, the Euclidean algorithm, groups, subgroups, cosets, Lagrange's theorem, direct product, isomorphism, symmetric groups, rings, integral domains, polynomial rings, fields, field extensions, quotients of polynomial rings. Prerequisites & Corequisites: Prerequisite: MATH 3140. Credits: 4 hours
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3.00 Credits
This course examines the axiomatic structures of Euclidean geometry and elementary non-Euclidean geometries. Transformational approaches to Euclidean geometry are also considered. Prerequisites & Corequisites: Prerequisite: MATH 3140. Credits: 3 hours
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3.00 Credits
This course considers curriculum issues and trends in middle school mathematics focusing on methods and materials for teaching mathematics effectively to middle school students. Activity and laboratory approaches for teaching mathematics are emphasized. Prerequisites & Corequisites: Prerequisite: MATH 3140 or consent of instructor. Credits: 3 hours
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3.00 Credits
This course introduces uses of computing technology to enhance and extend the learning of mathematical topics in grades 7 to 12. Emphasis is placed on the use of technology in problem solving and concept development. This course is open only to students pursuing a program leading to secondary mathematics teacher certification. Prerequisites & Corequisites: Prerequisites: Prior programming experience, MATH 3500, and acceptance into Professional College of Education. Credits: 3 hours
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3.00 Credits
This course covers curriculum and instructional issues in elementary school mathematics. Prerequisites & Corequisites: Prerequisites: MATH 1510 and MATH2650 with grades of "C'' or better and admittance to the Elementary Education Program in the College of Education. Credits: 3 hours
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4.00 Credits
Slope fields, first order differential equations and applications, linear differential equations, numerical methods, solution of systems of linear algebraic equations, eigenvalues and eigenvectors, systems of differential equations, and series solutions. The computer algebra system Maple will be used to explore some of these topics. Prerequisites & Corequisites: Prerequisite: MATH 2720. Credits: 4 hours
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1.00 Credits
This seminar features student participation covering mathematical topics not normally included in regular major programs. May be repeated for credit. Prerequisites & Corequisites: Prerequisite: permission of Department. Credits: 1 hour
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