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MATH 6640: Real Analysis II
3.00 Credits
Clemson University
Continuation of MATH 4630. Topics include the Riemann-Stieltjes integral, the fundamental theorem of calculus, metric spaces of functions, uniform convergence, equicontinuity, the Stone-Weierstrass theorem, changing the order of limits, derivatives, and integrals, power series, Fourier series, functions of several variables, the inverse and implicit function theorems, differential forms, Stokes' theorem. Students are expected to have completed the Real Analysis I course or a course similar to it before registering for this course.
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MATH 6640 - Real Analysis II
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MATH 6650: Num Methods for Diff Equations
3.00 Credits
Clemson University
Finite element and finite difference spatial discretizations, together with various temporal discretization methods, are developed and used to solve partial differentials equations including the heat equation, Stokes equations, fluid transport equations, Navier-Stokes equations, and Boussinesq equations. Derivations from variational formulations are developed, questions of stability and accuracy addressed, and methods are implemented with software.
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MATH 6650 - Num Methods for Diff Equations
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MATH 7060: Prob & Stat for Mid Grd Tchrs
3.00 Credits
Clemson University
Topics include organizing, classifying and summarizing data; univariate and bivariate graphical techniques; measures of center and dispersion; correlation and simple regression; elementary probability theory, counting and simulations; binomial and normal distributions. A graphing calculator is used. Preq: Enrollment in Middle-Level Education graduate program.
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MATH 7060 - Prob & Stat for Mid Grd Tchrs
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MATH 7090: Geometry for Middle Grades
3.00 Credits
Clemson University
Hands-on approach to constructions with straight-edge and compass; polygons including tessellations and polyhedra; symmetry and transformational geometry; coordinate geometry measurement with dimensional analysis; perspective drawing and related topics; history of geometry; reasoning and informal proof with congruence; and computer software, calculator use and Internet. Preq: Enrollment in Middle-Level Education graduate program.
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MATH 7090 - Geometry for Middle Grades
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MATH 7130: Algebra for Mid Grds Teachers
3.00 Credits
Clemson University
Study of elementary algebra, solution of equations, and inequalities; properties and applications of linear, quadratic, polynomial and exponential functions and models; graphical analysis and curve-fitting of real-world data; systems of equations and basic matrix operations. A graphing calculator is used. Preq: Enrollment in Middle-Level Education graduate program.
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MATH 7130 - Algebra for Mid Grds Teachers
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MATH 7140: Found of Math for Mid Gr Tchrs
3.00 Credits
Clemson University
Topics include logic, set theory, numeration systems; arithmetic operations and their properties on the integer, rational and real number systems; decimals, ratio, proportion, percent, exponents and roots. Includes an introduction to algebra and counting, permutations and combinations. Preq: Enrollment in Middle-Level Education graduate program.
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MATH 7140 - Found of Math for Mid Gr Tchrs
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MATH 7380: Modern Geometry for Sec Tchrs
3.00 Credits
Clemson University
Concepts of Euclidean geometry reviewed and extended by means of coordinates, vectors, matrices; conic sections. Preq: Enrollment in Secondary Education graduate program.
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MATH 7380 - Modern Geometry for Sec Tchrs
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MATH 7400: Linear Programg for Sec Tchrs
3.00 Credits
Clemson University
Development of mathematical theory of simplex algorithm; survey of mathematical background; matrix algebra, systems of linear equations and vector spaces; problem formulation is emphasized. Preq: Enrollment in Secondary Education graduate program.
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MATH 7400 - Linear Programg for Sec Tchrs
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MATH 7490: Discrete Mathem for Sec Tchrs
3.00 Credits
Clemson University
Discrete mathematics emphasizing applications to computer science; propositions and logic; Boolean Algebra and switching circuits; recursion and induction; relations and partially ordered sets, graphs and trees.
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MATH 7490 - Discrete Mathem for Sec Tchrs
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MATH 7500: Modern Algebra for Sec Tchrs
3.00 Credits
Clemson University
Introduction to the fundamental concepts and historical development of abstract algebra. Topics include integers, binary operations, functions, equivalence, relations, permutations, groups, polynomials, commutative rings, integral domains, and fields. Students are expected to have completed a linear algebra course or a graduate-level matrix algebra for secondary teachers course before enrolling in this course. Preq: enrollment in the Secondary Education graduate program.
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MATH 7500 - Modern Algebra for Sec Tchrs
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