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MATH 300: Linear Algebra
3.00 Credits
Benedictine University
Topics include matrix algebra, theory of determinants, introduction to vector spaces, linear independence and span, and properties of linear transformations on finite dimensional vector spaces. Spring.
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MATH 300 - Linear Algebra
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MATH 310: Modern Geometry
3.00 Credits
Benedictine University
Euclidean and non-Euclidean geometries, geodisics, triangle congruence theorems, area and holonomy, parallelism, symmetry, and isometries. Writing Intensive. Spring, even years.
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MATH 310 - Modern Geometry
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MATH 312: Mathematics for Middle and Secondary Teachers.
3.00 Credits
Benedictine University
Topics include analyses of alternate definitions, languages, and approaches to mathematical ideas; extensions and generalizations of familiar theorems; discussions of the history of mathematics and historical contexts in which concepts arose; applications of mathematics in various settings; analyses of common problems of high school mathematics from a deeper mathematical level; demonstrations of alternate ways of approaching problems, including ways with and without calculator and use of technology; connections between ideas that may have been studied separately in different courses; and relationships of ideas studied in school to ideas students may encounter in later study. Fall, odd years.
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MATH 312 - Mathematics for Middle and Secondary Teachers.
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MATH 331: Abstract Algebra I
3.00 Credits
Benedictine University
Groups and elementary theory of groups: cyclic groups, permutation groups, homomorphism, isomorphism, cosets and Lagrange's theorem, factor groups, Homomorphism theorem, and an intro to other algebraic structures such as rings, domains and fields. Fall, odd years.
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MATH 331 - Abstract Algebra I
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MATH 332: Abstract Algebra II
3.00 Credits
Benedictine University
Rings: definition and properties, quotient rings and ideals, and homomorphisms of rings. Polynomial rings, integral domains, and fields. Sylow Theory and group actions, other algebraic structures including algebras, group rings, and vector spaces. Spring, even years.
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MATH 332 - Abstract Algebra II
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MATH 341: Real Analysis I
3.00 Credits
Benedictine University
Topological properties of Euclidean spaces, limits of sequences and functions and continuity and differentiability for functions of one variable. Fall, even years.
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MATH 341 - Real Analysis I
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MATH 342: Real Analysis II
3.00 Credits
Benedictine University
Integrability, sequences of functions and infinite series. Spring, odd years.
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MATH 342 - Real Analysis II
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MATH 350: Complex Variables
3.00 Credits
Benedictine University
Complex numbers and their geometric representation, analytic functions, elementary functions, transformations, complex integration, Taylor and Laurent series, and the calculus of residues, conformal mappings, and applications to hyperbolic geometry. Fall, odd years.
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MATH 350 - Complex Variables
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MATH 361: Fourier Anal&Boundary Val Prob
3.00 Credits
Benedictine University
Fourier series; Fourier Integral and Fourier Transform; Sturm-Liouville Theory; techniques to solve partial differential equations; Bessel functions and their application in solving boundary value problems. Fall, even years.
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MATH 361 - Fourier Anal&Boundary Val Prob
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MATH 365: Vector Analysis
3.00 Credits
Benedictine University
Vector algebra; vector integration and differentiation; the del operator; the gradient, divergence and curl; line and surface integrals; the classical integral theorems of vector analysis - Stokes' Theorem, Green's Theorem, and the Divergence Theorem; and curvilinear coordinates. Periodically.
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MATH 365 - Vector Analysis
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