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MATH 510: Linear Programming and Network Flows
3.00 Credits
Colorado State University-Fort Collins
Fall, Spring, Summer. Prerequisite: MATH 261 or MATH 315. Credit not allowed for both MATH 510 and ENGR 510. Optimization methods; linear programming, simplex algorithm, duality, sensitivity analysis, minimal cost network flows, transportation problem.
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MATH 510 - Linear Programming and Network Flows
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MATH 517: Introduction to Real Analysis
3.00 Credits
Colorado State University-Fort Collins
Fall.
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MATH 517 - Introduction to Real Analysis
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MATH 519: Complex Variables I
3.00 Credits
Colorado State University-Fort Collins
Spring. Prerequisite: MATH 317. Analytic functions, complex integration theory, singularities, elementary functions, and mapping.
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MATH 519 - Complex Variables I
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MATH 520: Nonlinear Programming
3.00 Credits
Colorado State University-Fort Collins
Spring. Prerequisite: MATH 510. Theoretical, computational, practical aspects of nonlinear programming (NLP); unconstrained, constrained NLP; quadratic programming; large-scale NLP.
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MATH 520 - Nonlinear Programming
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MATH 525: Optimal Control
3.00 Credits
Colorado State University-Fort Collins
Spring (odd years). Prerequisite: MATH 340 or MATH 345. Theory and application of optimal control and optimal estimation theory; continuous and discrete time systems; Pontryagin maximum principle.
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MATH 525 - Optimal Control
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MATH 530: Mathematics for Scientists and Engineers
4.00 Credits
Colorado State University-Fort Collins
Fall. Prerequisite: MATH 340 or MATH 345. Not for mathematics graduate students. Credit not allowed for both MATH 530 and MATH 332. Proof-oriented linear algebra, ordinary and partial differential equations.
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MATH 530 - Mathematics for Scientists and Engineers
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MATH 531: Discrete Models of Physical Systems
3.00 Credits
Colorado State University-Fort Collins
Fall. Prerequisite: MATH 340 or MATH 345. Discrete models for physical systems; systems of ordinary differential equations, applied linear algebra; introduction to finite elements.
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MATH 531 - Discrete Models of Physical Systems
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MATH 532: Mathematical Modeling of Large Data Sets
3.00 Credits
Colorado State University-Fort Collins
Spring. Prerequisite: MATH 369 or MATH 530; preparedness to do programming in a standard language. Mathematical theory and algorithms for modeling large data sets. Application to real world problems. Emphasis on geometric ideas.
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MATH 532 - Mathematical Modeling of Large Data Sets
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MATH 540: Dynamical Systems
3.00 Credits
Colorado State University-Fort Collins
Fall. Prerequisite: MATH 369; MATH 417. Linear and nonlinear systems, orbits, phase space, flows of vector fields, stability, bifurcation theory, chaos, strange attractors and applications.
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MATH 540 - Dynamical Systems
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MATH 545: Partial Differential Equations I
3.00 Credits
Colorado State University-Fort Collins
Fall. Prerequisite: MATH 340 or MATH 345 or MATH 530. Second order linear PDEs, elliptic and parabolic equations, equations of math physics, separation of variables, Fourier series.
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MATH 545 - Partial Differential Equations I
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