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MATH 0253: Foundations: Number Systems
3.00 Credits
Westfield State University
An introductory course on number systems. Topics will include: the development and properties of various number systems (such as integers, rational, real, and complex numbers) ; and operations and different representations in these number systems (such as those in bases other than 10) . Students will develop a conceptual understanding of the course material in a learning environment that models the pedagogical foundations of the Massachusetts Curriculum Frameworks for Mathematics and the NCTM Standards. Prerequisite: MATH 0150.
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MATH 0253 - Foundations: Number Systems
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MATH 0301: Abstract Algebra I
3.00 Credits
Westfield State University
A study of groups, rings, integral domains and fields, with special emphasis on the real and complex fields. Prerequisite: MATH 0311.
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MATH 0301 - Abstract Algebra I
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MATH 0304: Differential Equations
3.00 Credits
Westfield State University
Geometric and physical meaning of differential equations. Theory and solution of first, second and higher order linear and non-linear differential equations. Initial and boundary value problems. Finite difference equations. Prerequisites: MATH 0106 and MATH 0218.
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MATH 0304 - Differential Equations
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MATH 0306: Modern Geometries
3.00 Credits
Westfield State University
An integrated course consisting of intuitive, synthetic, and analytic approaches to Euclidean and other geometries. Topics will include axiomatic foundations, finite geometries, non-Euclidean geometries, and synthetic projective geometry. Prerequisite: MATH 0218.
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MATH 0306 - Modern Geometries
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MATH 0308: Real Analysis
3.00 Credits
Westfield State University
Topology of real numbers, Cauchy sequences, metric completeness, continuity, compactness, connectedness. Sequence and series and uniform convergence of infinite series. Derivatives and definite integrals. Prerequisite: MATH 0201.
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MATH 0308 - Real Analysis
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MATH 0309: Topology
3.00 Credits
Westfield State University
A simple, thorough survey of the elementary topics of point-set topology of the real line and plane topological spaces; metric spaces; mappings; connectedness; compactness. Prerequisite: MATH 0201.
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MATH 0309 - Topology
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MATH 0311: Number Theory
3.00 Credits
Westfield State University
Properties of integers including congruence, primes and factorization, continued fractions, quadratic residues, linear diophantine equations and number theoretic functions. Prerequisite: MATH 0105.
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MATH 0311 - Number Theory
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MATH 0323: Complex Analysis
3.00 Credits
Westfield State University
Algebra of complex numbers, analytic functions, Cauchy Riemann conditions, conformal mapping, line integrals, Cauchy integral formula, residue integration, Taylor and Laurent series. Prerequisite: MATH 0201.
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MATH 0323 - Complex Analysis
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MATH 0334: Operations Research And Modeling
3.00 Credits
Westfield State University
A study of mathematical modeling and of the models of interest in operations research, which may include distribution problems, linear programming, the simplex method and applications. CPM, network problems, non-linear programming problems, Markov chains, queuing models, and simulation. Prerequisites: MATH 0106 and MATH 0218.
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MATH 0334 - Operations Research And Modeling
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MATH 0335: Numerical Analysis
3.00 Credits
Westfield State University
Intended for majors in mathematics or computer science. Methods of finding approximate numerical solutions to mathematical problems are explored using a scientific computer programming language. Standard algorithms of numerical analysis will be chosen from: numerical integration, non-linear equations, computational probability, differential equations. Prerequisites: MATH 0106 and MATH 0218.
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MATH 0335 - Numerical Analysis
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