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MATH 340: The History of Mathematics
3.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 214 and 231;or consent of instructorAn introduction to the history of mathematics, focusing on the originsand development of algebra, geometry, trigonometry, and/or calculus.Includes the study of mathematical problems associated with thehistorical topics.
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MATH 340 - The History of Mathematics
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MATH 342: Numerical Analysis
3.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 214 and eitherCS 111 or MATH 317; or consent of instructorEmphasizes iterative solution of linear and non-linear equations,numerical solution of linear systems, interpolation polynomials,curve-fitting, numerical differentiation, numerical integration,numerical solution of ordinary differential equations, andconsideration of error estimations.
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MATH 342 - Numerical Analysis
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MATH 351: Calculus of Several Variables
4.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisite: Successful completion (C- or higher) of MATH 214; or consentof instructorIntroduces functions of several variables including partialdifferentiation ;multiple integrals, line and surface integrals, and thetheorems of Green, Gauss, and Stokes.
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MATH 370: Advanced Calculus for the Physical Sciences
3.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisite: Successful completion (C- or higher) of MATH 214; or consentof instructorDesigned to develop a basic competence/maturity in each of manyareas of mathematics needed in junior and senior level courses inmathematics, biology, chemistry and engineering. The focal objectiveof the course is to train the students to formulate physical phenomenain mathematical language. Topics include complex variables, matrixalgebra, Fourier series, and partial differential equations.
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MATH 370 - Advanced Calculus for the Physical Sciences
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MATH 371: Real Analysis
3.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 231 and 351;or consent of instructorIn the 19th century, mathematicians from Cauchy to Cantor createda foundation for calculus which was as rigorous as the foundationsof the other branches of mathematics. Topics include: definitionsof convergence, continuity, differentiability, and integrability; theIntermediate, Maximum-Minimum, and Mean Value Theorems;Taylor's Theorem and power series; uniform and pointwiseconvergence.
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MATH 371 - Real Analysis
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MATH 381: Complex Analysis
3.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 351; orconsent of instructorEmphasizes functions of one complex variable including the Cauchy-Riemann equations, contour integration, Cauchy integral formulas,the Residue Theorem, series representation, and mapping theorems.
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MATH 381 - Complex Analysis
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MATH 390: Abstract Algebra
3.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisite: Successful completion (C- or higher) of MATH 231; or consentof instructorFocuses on groups, rings, and their homomorphism's. Topics includesubgroups and quotient groups, group actions, ideals, quotient rings, Euclidean and principal ideal domains, and factorization.
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MATH 390 - Abstract Algebra
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MATH 421: Problem Seminar
3.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 331, 351, and390; or consent of instructorDesigned to enhance students' mathematical maturity as they workto solve specifically chosen mathematical problems.
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MATH 421 - Problem Seminar
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MATH 431: Special Topics
3.00 Credits
Roger Williams University
Fulfills a course requirement in the Mathematics Core ConcentrationPrerequisites: Successful completion (C- or higher) of MATH 231, 351, and390; or consent of instructorA variable content course, offered periodically when there is sufficientinterest among students for in-depth coverage of a topic which is notincluded among the standard mathematics offerings. Possible topicsinclude topology, number theory, or geometry.
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MATH 431 - Special Topics
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MATH 450: Research in the Mathematical Sciences
1.00 - 3.00 Credits
Roger Williams University
Prerequisite: Prior departmental approval of a research proposal, 3.3 GPA orpermission of the department, and MATH 450This course serves as a capstone experience for outstanding studentsin the major. Working closely with a full time faculty mentor, studentsengage in research on a topic of choice. The culmination of the courseis a formal written thesis and a public oral presentation
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MATH 450 - Research in the Mathematical Sciences
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