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MATH 325: College Geometry
0.00 - 3.00 Credits
Lake Superior State University
Selected topics in geometry, including some or all of the following: Modern elementary geometry, transformations, Euclidean constructions, dissection theory, projective geometry, introduction to non-Euclidean geometry, and problems in foundations of geometry. Prerequisites: MATH152 and MATH215 both with a grade of C or better. (2,2) 3 Alternate Years
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MATH 325 - College Geometry
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MATH 341: Abstract Algebra I
3.00 Credits
Lake Superior State University
An introduction to congruencies, groups, subgroups, quotient groups, fundamental homomorphism theorems, Sylow theorems. Prerequisite: MATH215 with a grade of C or better. (3,0) 3
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MATH 341 - Abstract Algebra I
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MATH 342: Abstract Algebra II
3.00 Credits
Lake Superior State University
A continuation of MATH341 including rings, integral domains, ideals, quotient rings, the natural homomorphism, fields and polynomial rings. Prerequisite MATH341. On Demand (3,0) 3
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MATH 342 - Abstract Algebra II
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MATH 351: Graph Theory
3.00 Credits
Lake Superior State University
Selected topics in graph theory, including connectivity, matchings, edge and vertex colorings, networks and tournaments. Prerequisite: MATH216 with a grade of C or better. Alternate Years (3,0) 3
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MATH 351 - Graph Theory
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MATH 377: Electives
0.00 - 999.00 Credits
Lake Superior State University
No course description available.
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MATH 377 - Electives
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MATH 400: Special Topics:
3.00 Credits
Lake Superior State University
No course description available.
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MATH 400 - Special Topics:
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MATH 401: Mathematical Modeling
3.00 Credits
Lake Superior State University
Selected applications of mathematics in such areas as biology, economics, social science and engineering are discussed. The construction of a mathematical model used to study a real situation will be stressed, as well as interpretation of mathematical results in that context. Prerequisites: junior/senior standing, a course in computer programming, and mathematical maturity at the level of MATH305, MATH308 or MATH310 with a minimum grade of C. (3,0) 3 Alternate years
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MATH 401 - Mathematical Modeling
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MATH 411: Advanced Calculus
3.00 Credits
Lake Superior State University
An extension of the calculus in one, two, and three dimensions leading to the formulation and solution (in simple cases) of the partial differential equations of mathematical physics. Differential and integral calculus of vectors, divergence, curl, line, surface and volume integrals, Green's divergence and Stokes' theorems, heat and wave equations, Fourier series, orthogonal sets, boundary value problems, separation of variables. Prerequisites: MATH251 and 310 with a grade of C or better. Alternate Years (3,0) 3
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MATH 411 - Advanced Calculus
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MATH 413: Into to Complex Analysis
3.00 Credits
Lake Superior State University
The calculus of functions of a complex variable, algebra and geometry of complex numbers, elementary functions, limits, derivatives, Cauchy-Rieman equations, integrals, Cauchy integral theorem, series, singularities, residue theorem. Prerequisite: MATH251. On Demand (3,0) 3
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MATH 413 - Into to Complex Analysis
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MATH 421: Real Analysis I
3.00 Credits
Lake Superior State University
An examination of some of the foundations of the calculus, including basic topology of the real line, limits, continuity, metric spaces, function spaces, some uniformity concepts. Prerequisites: MATH215 and 251 with a minimum grade of C On Demand (3,0) 3
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MATH 421 - Real Analysis I
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