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MATH 363: Mathematical Modeling
3.00 Credits
King's College - Pennsylvania
Topics include difference equations, systems of difference equations, dynamical systems, geometric similarity, model fitting, simulation modeling, discrete proba-bilistic modeling, optimization, modeling using graph theory, dimensional analy-sis, and modeling with a differential equation. Prerequisite: MATH 130 plus one 200-level math course or approval of the math department chairperson. Alternate years: Offered Fall 2018.
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MATH 365: Numerical Analysis
3.00 Credits
King's College - Pennsylvania
Topics include numerical integration and differentiation; direct and iterative methods for linear systems; numerical solution of linear and nonlinear algebraic equations and eigenvalue problems; and numerical solutions for ODE's and PDE's if time permits. Prerequisite: MATH 231 and MATH 250 and one of CS 100, CS111, CIS 116. Alternate years: Offered Spring 2019.
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MATH 367: Real Analysis I
3.00 Credits
King's College - Pennsylvania
The first of a two-semester sequence in real analysis. Emphasis is on theory and rigor. Topics include limits; continuity; uniform continuity; the intermediate value theorem; mean value theorems; the Heine-Borel theorem; the Bolzano-Weierstrass theorem; nested intervals; the Cauchy criterion; derivatives; differentials; and the Riemann integral. Prerequisite: MATH 231 and MATH 250 or approval of the math department chairperson. Offered fall semesters.
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MATH 391: Topics in Mathematics
3.00 Credits
King's College - Pennsylvania
A junior level special studies course. Past topics have included cryptography and number theory; probability theory; partial differential equations; and problems in applied Mathematics. Approval of the Math department chairperson is required.
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MATH 418: Topology
3.00 Credits
King's College - Pennsylvania
Elementary defi nitions, examples, counterexamples, and theorems of point set topology. Emphasis on students presenting proofs in class. Topics include topologies and topological spaces; functions; mappings; homeomorphisms; connected spaces; compact spaces; separation axioms; metric spaces; quotient spaces; and product spaces. Prerequisite: MATH 367. 4 hours per week. Alternate years: Offered Spring 2018.
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MATH 420: Complex Variables
3.00 Credits
King's College - Pennsylvania
Topics include complex numbers; geometry of the complex plane; functions and mappings; the Cauchy Riemann equations; harmonic functions; the line integral; the Cauchy integral formula; Laurent series; theory of residues; conformal map-ping. Prerequisite: MATH 367. Alternate years: Offered Spring 2019.
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MATH 425: Abstract Algebra
3.00 Credits
King's College - Pennsylvania
Emphasis on students formulating and testing their own conjectures. Topics in-clude groups; cyclic groups; subgroups; direct products; cosets; normal subgroups; quotient groups; homomorphisms; rings; subrings; ideals; and ring homomor-phisms; fields. Approval of the math department chairperson is required. Offered fall semesters.
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MATH 490: Junior Seminar
1.00 Credits
King's College - Pennsylvania
Students rework and refine the small axiom system that they designed in MATH 127 (Logic and Axiomatics). The axiom system is then presented to the students and faculty of the Mathematics department during the presentation phase of the seminar. Students are also strongly encouraged to present their systems at local Mathematical Association of America meetings and in other such forums. Prerequisite: MATH 127. Offered spring semesters.
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MATH 490 - Junior Seminar
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MATH 491: Topics in Mathematics
3.00 Credits
King's College - Pennsylvania
A senior-level special studies course. Past topics have included cryptography, number theory; transfinite theory; probability theory; partial differential equa-tions; and problems in applied Mathematics; Lebesque integration and measure theory; calculus on manifolds; linear programming; advanced linear algebra; and Mathematical modeling. Approval of the math department chairperson is required.
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MATH 491 - Topics in Mathematics
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MATH 497: Independent Study in Math
3.00 Credits
King's College - Pennsylvania
Advanced work in areas of Mathematics under the supervision of a Department Mentor. Courses listed in this catalog are not offered as independent study unless special circumstances dictate. Open to junior and senior Mathematics majors. Approval of the math department chairperson is required.
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