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MATH 442: Elements of Partial Differential Equations
3.00 Credits
Northern Illinois University
Introduction to partial differential equations emphasizing constructive methods of solution for the wave equation, heat equation, and the Laplace and Poisson equations. Separation of variables, Fourier series, Fourier integral, method of characteristics, maximum principles, Green's functions, eigenfunction expansions, and the Laplace and Fourier transforms. Prerequisites & Notes PRQ: Either MATH 334, or MATH 232 and MATH 336. Credits: 3
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MATH 442 - Elements of Partial Differential Equations
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MATH 444: Linear Programming and Network Flows
3.00 Credits
Northern Illinois University
Introduction to linear programming, network flows, and applications. Prerequisites & Notes PRQ: MATH 240 or consent of department. Credits: 3
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MATH 444 - Linear Programming and Network Flows
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MATH 450: Introduction to Topology
3.00 Credits
Northern Illinois University
Basic notions of metric and topological spaces; additional topics from combinatorial and algebraic topology may be included. Prerequisites & Notes PRQ: MATH 430. Credits: 3
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MATH 450 - Introduction to Topology
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MATH 456: Linear Geometry
3.00 Credits
Northern Illinois University
Treatment of affine and related geometries using the techniques of linear algebra. Prerequisites & Notes PRQ: MATH 420. Credits: 3
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MATH 456 - Linear Geometry
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MATH 460: Modeling Dynamical Systems
3.00 Credits
Northern Illinois University
Involves students in the process of translating some questions about the observed world into mathematical form, combining formal reasoning with intuitive insights. Phenomena susceptible to formulation in terms of difference equations and various kinds of differential equations are investigated. Concepts of equilibrium, stability, bifurcation, limit cycles, and chaos illustrated. Prerequisites & Notes PRQ: MATH 232, MATH 240, MATH 336, PHYS 253, and PHYS 273, or consent of department. Credits: 3
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MATH 460 - Modeling Dynamical Systems
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MATH 480: Number Theory
3.00 Credits
Northern Illinois University
Divisibility, primes, congruences, quadratic reciprocity, Diophantine equations, continued fractions, and selected topics. Prerequisites & Notes PRQ: MATH 420 or consent of department. Credits: 3
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MATH 480 - Number Theory
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MATH 490X: Topics in Computer Science
3.00 Credits
Northern Illinois University
Crosslisted as CSCI 490. A. Algorithms C. Automata, Computability, and Formal Languages Selected topics from major areas in computer science. May be repeated when subject varies. Prerequisites & Notes PRQ: Senior standing and consent of department. Credits: 3
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MATH 490X - Topics in Computer Science
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MATH 492: School Mathematics
12.00 Credits
Northern Illinois University
A. Elementary School B. Junior High-Middle School C. Secondary School Intensive study of selected mathematical topics in curriculum and instruction as they relate to the teaching of mathematics. Not open for credit toward the major or minor in mathematical sciences. Course may be repeated to a maximum of 12 semester hours as topic changes. Prerequisites & Notes PRQ: Consent of department. Credits: 1-6
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MATH 492 - School Mathematics
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MATH 496: Seminar in Computational Mathematics
3.00 Credits
Northern Illinois University
Builds on the required courses in the computational mathematics emphasis to give the student in-depth experience doing projects. Prerequisites & Notes PRQ: Consent of department. Credits: 3
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MATH 496 - Seminar in Computational Mathematics
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MATH 497: Undergraduate Readings in Mathematics
6.00 Credits
Northern Illinois University
Selected readings from mathematical literature. May be repeated to a maximum of 6 semester hours. Prerequisites & Notes PRQ: Consent of department. Credits: 1-3 Mechanical Engineering
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MATH 497 - Undergraduate Readings in Mathematics
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