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MAT 308: Numerical Methods
3.00 Credits
Carlow University
An introduction to numerical techniques implemented on microcomputers to find roots of equations, solutions to linear and nonlinear systems, and definite integrals
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MAT 308 - Numerical Methods
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MAT 321: Applied Discrete Math
3.00 Credits
Carlow University
A selection of topics from set theory, combinatorics, graph theory, algebra, Boolean algebra, formal logic, and computer science that are both useful and basic to students in applied mathematics, computer science, and engineering. Formal mathematical proofs via induction, combinatorial arguments, truth tables and propositions, Russell's Paradox, principle of inclusion and exclusion, the pigeonhole principle and analysis of algorithms, countably and uncountably infinite sets, generating functions, recurrence relations, and lattices
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MAT 321 - Applied Discrete Math
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MAT 325: Geometry
3.00 Credits
Carlow University
An examination of independence and completeness of axiomatic systems. Euclidean and non-Euclidean geometries, including finite and projective geometries. Construction of proofs in Euclidean geometry in two and three dimensions
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MAT 325 - Geometry
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MAT 331: Differential Equations
3.00 Credits
Carlow University
An introduction to solvability techniques for separable, linear, and exact first order equations; methods of undetermined coefficients and variation of parameters; Laplace transform methods for systems with constant coefficients and qualitative arguments and iterative methods
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MAT 331 - Differential Equations
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MAT 340: Number Theory
3.00 Credits
Carlow University
An account of classical number theory as well as some of the historical background in which number theory evolved. Especially intended for prospective secondary teachers to provide familiarity with the number theory and basic concepts of mathematical proofs and reasoning: the division algorithm, the Euclidean algorithm, primes and their distribution, the theory of congruence, Mobius inversion, perfect numbers, the Fermat Conjecture, and Fibonacci numbers
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MAT 340 - Number Theory
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MAT 360: Calculus III
4.00 Credits
Carlow University
An introduction to Multi-Variable Calculus and its applications. Topics include: Polar coordinates, vector analysis, parametric curves, differential calculus of several variables, multiple integration, Green's theorem and Stokes' theorem
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MAT 360 - Calculus III
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MAT 398: Junior Seminar
1.00 Credits
Carlow University
An opportunity for junior mathematics majors to research current trends and topics of interest in an area of mathematics or engineering and present a seminar and paper devoted to this topic. Students work in conjunction with a faculty mentor. The course covers topics in scientific research and presentation. One hour of seminar per week
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MAT 398 - Junior Seminar
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MAT 399: Junior Seminar
1.00 Credits
Carlow University
An opportunity for junior mathematics majors to research current trends and topics of interest in an area of mathematics or engineering and present a seminar and paper devoted to this topic. Students work in conjunction with a faculty mentor. The course covers topics in scientific research and presentation. One hour of seminar per week
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MAT 399 - Junior Seminar
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MAT 400: Independent Study
1.00 - 6.00 Credits
Carlow University
An intensive, independent study of topics such as graph theory or the study of mathematics using computer algebra systems. 1-6 credits PERMISSION FROM THE DEPARTMENT CHAIR REQUIRED. PREREQUISITE: MAT 302.
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MAT 400 - Independent Study
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MAT 498: Senior Experience
2.00 Credits
Carlow University
An independent, professional experience for senior mathematics majors within their field, designed in consultation with a faculty mentor. May involve research, an internship, or an independent project. One hour of seminar per week, plus additional time as needed
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MAT 498 - Senior Experience
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