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Course Criteria
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3.00 Credits
3 hours Prerequisite: Junior standing or permission of the instructor Divisibility, the Euclidean algorithm, greatest common divisor, primes and unique factorization, congruencies, residue classes, the Euler-Format Theorems, power residues, primitive roots, introduction to Diophantine equations, the Gaussian integers, number theoretic functions.
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3.00 Credits
3 hours Prerequisite: MATH 132 and 200 or equivalent A beginning course in linear algebra and its applications with emphasis on matrix operations. It includes systems of linear equations, nullspace and rank of matrices, determinants, eigenvectors and diagonalization, reduction of quadratic forms. Introduction to abstract vector spaces over the real number and linear mappings.
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3.00 Credits
3 hours Prerequisite: MATH 231 A first course in Complex Analysis including: the field of complex numbers, Argand plane, polar representation and DeMoivre formula, differentiation, Cauchy-Rieman equations, path integrals, Cauchy theorem and Cauchy integral formula. Taylor and Laurent series, poles and residues. Applications.
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3.00 Credits
3 hours Prerequisite: MATH 231 Topological properties of the real line, limits, sequences, continuity, functions of several real variables, vector-valued functions, derivatives, gradient, curl, transformations, Jacobian, Green's Theorem, Stokes' Theorem, line integrals.
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3.00 Credits
3 hours Prerequisites: MATH 231 and PHYS 231 or permission of the instructor Differential equations of the first order and first degree, linear equations, variation of parameters, methods of undetermined coefficients, inverse operators, Laplace transforms, systems of differential equations, and applications.
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3.00 Credits
3 hours Prerequisite: Permission of instructor Mathematical formalism, sets and binary relations, graphs, algebraic structures, Boolean algebras, logic, linearly ordered sets, elementary number theory, algorithms, and computations.
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3.00 Credits
3 hours Prerequisites: MATH 321 Introduction to numerical techniques for problems such as interpolation, approximation, numerical differentiation and integration, differential equations, zeros of functions, solutions of linear systems, and error analysis. Lab fee.
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3.00 Credits
3 hours Prerequisite: At least one upper-level mathematics course The development of mathematics from ancient to modern times (19th Century BC-19th Century AD). Special emphasis is given to the period of the Greeks (600 BC - 200 AD), the development of the calculus (17th Century), and the "modern" period (19th Century).
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3.00 Credits
3 hours Statistics Prerequisites: MATH 211 and 231 Probability concepts, probability distributions, expectations, functions of random variables, sampling distributions, point estimation, interval estimation, hypotheses testing; theory and applications and regression analysis.
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2.00 Credits
2 hours in Secondary Schools (Offered fall semester) Prerequisite: At least one upper level mathematics course and admission to the Teacher Licensure Program Problems, materials and methods of teaching mathematics in secondary school. Must be taken prior to student teaching in mathematics. Special readings in the field of Mathematics Education, planning for mathematics instruction, and evaluation components of this course. May not be counted toward the Mathematics major.
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