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Course Criteria
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3.00 Credits
In this course, students will investigate solutions of equations, functional iteration of equations, analysis of special methods such as the methods of false position and of Newton, iteration for systems of equations, reduction to fi rst order systems, Gaussian elimination and some iterative methods for inversion. PR: COMP 1102 and CR: MATH 3316. Fall Semester Odd Years Only.
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3.00 Credits
This course is designed to prepare pre-service elementary school teachers to teach mathematics. Students will study tools for teaching mathematics, math teaching strategies, current topics in math education, problem solving and reasoning, and assessment. Numerous laboratory experiences are required such as tutoring, micro-teaching, and construction of a NCTM Standards-based unit. This course may not be used to satisfy the Liberal Studies math requirement. PR: Math 2251 and Math 2252 with a C or better in each and admission to Teacher Education.
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3.00 Credits
Writing Intensive Topics include sets, relations, functions, operations, algebraic systems such as integers, rationals and matrices, isomorphism and examples. Students will examine equivalence classes, groups, subgroups, cyclic groups, basic theorems, Lagrange’s theorem, homomorphism, normal subgroups, quotient group, the isomorphism theorems, rings, integers, matrices, polynomials, integral domains, fi elds and quotient fi eld. The course will also cover ideals, residue class rings, unique factorization domains, Euclidean domains, integers, polynomials over a fi eld, division algorithm, highest common factor and unique factorization in Euclidean domain. PR: MATH 1190 and MATH 2212. Spring Semester Only.
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3.00 Credits
This course covers vector spaces abstractly defi ned, linear dependence and independence, bases and subspaces, dimension of linear space, linear mappings, kernel and image of maps, rank of maps, linear maps as vector spaces, composition of mappings and multiplication of matrices, the relation between linear mappings and systems of linear equations, row reduced echelon matrix, invertible matrices, calculation of inverse, linear inequalities and half spaces. PR/ CR: MATH 3315. Fall Semester Only.
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3.00 Credits
A brief review of informal Euclidean geometry, including areas and volumes. The course will also include a formal development of Euclidean geometry, utilizing concepts such as incidence, convexity separation, distance functions and angular measurement functions. Other geometric topics such as topology, non-Euclidean geometry, fi nite geometries, projective geometry and transformational geometry are briefl y introduced. PR: MATH 1190. Fall Semester Even Years Only.
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3.00 Credits
This course consists of the study of topological spaces and notions, including continuity, convergence, separation, compactness and connectedness. PR: MATH 2212 and 3316. Spring Semester Odd Years Only.
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3.00 Credits
Covers real numbers, topology of the reals, infi nite series, continuous functions, sequences and series of functions, differentiation, integration and power series. PR: MATH 2212 and MATH 3316. Spring Semester Even Years Only.
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1.00 - 3.00 Credits
PR: instructor’s consent.
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3.00 Credits
A study of fi rst-order and simple higher-order ordinary differential equations and their applications, linear differential equations with constant coeffi cients and their application, simultaneous differential equations and their applications, the numerical solution of differential equations and solution of differential equations by use of series. PR: MATH 3316. Spring Semester Odd Years Only.
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3.00 Credits
This course is designed for senior education majors with a math teaching specialization in either grades 5-Adult or 5-9. Mathematics curricula and methods at the middle and high school levels are studied. Numerous laboratory experiences such as microteaching and math tutoring are required. 5-9 and 5-Adult must complete this course prior to enrolling in Secondary Student Teaching/Clincial III. Fall Semester Only. Must be admitted to Teacher Education to take this course.
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