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  1. • Explain how to build a mathematical model by going through the modeling cycle. • Discuss the role of hypotheses in the model-building process and how they limit potential applications of the model.

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      The course combines formal lectures with computer...

  2. Exhibit, catalogue, and web site made possible by a University of Arizona award to the Department of Mathematics for outstanding achievement in undergraduate education, 1994.

  3. What are mathematical models? How are they developed? How much should we trust them: can we be confident in their predictions, and do we know when to act upon them? These questions, routinely addressed by mathematical modeling practitioners, are also of interest to citizens and policy makers.

  4. 19 Δεκ 2008 · Discover University of Arizona Mathematical Models Collection in Tucson, Arizona: A cabinet of curious mathematical models and old calculators.

  5. On the Nature of Mathematical Modeling. 2. First Steps: Modeling the Wave. II. Models from Classical Mechanics. 3. The Nonlinear Pendulum. 4. Stone-Skipping. III. Population Dynamics and Epidemiology. 5. Single-species Models. 6. Two-species models. 7. Epidemiology. IV. Chemical Reactions and Spatial Effects. 8. Chemical Reactions. 9. Diffusion.

  6. General modeling ideas and scalings. Probabilistic vs deterministic modeling; Allometric models; Social interactions. Modeling crowd dynamics; Modeling competition between languages; Modeling the dream team; Modeling traffic flow; Modeling opinion formation; Modeling interactive learning; Cancer and chemotherapy. Modeling tumor growth; Modeling ...

  7. The course combines formal lectures with computer laboratories and simulations of dynamical systems and models. Undergraduates work in teams on modeling projects, under the supervision of graduate or post-graduate mentors.

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