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  • ENM 601: Special Topics in Engineering Mathematics-Nonlinear Dynamics and Chaos

    3.00 Credits
    University of Pennsylvania

    Prerequisite(s): Permission of Instructor. Continuous Dynamical Systems: Nonlinear Equations versus Linear Equations, One-Dimensional Flows: Flows on a Line, Fixed Points and Stability, Linear Stability Analysis, Potentials, Bifurcations, and Flows on the Circle. Two- Dimensional Flows: Linear Systems, Eigenvalues and Eigenvectors, Classification of Fixed Points, Phase Portraits, Conservative Systems, Reversible Systems, Index Theory, Limit Cycles, Gradient Systems, Liaponov Functions, Poincare-Bendixson Theorem, Lienard Systems, Relaxation Oscillations, Weakly Nonlinear Oscillators, Perturbation Theory, Saddle-Node, Transcritical and Pitchfork Bifurcations, Hopf Bifurcations, Global Bifurcations of Cycles, Hysteresis, and Poincare Maps. Three-Dimensional Flows: The Lorenz Equations, Strange Attractors and Chaos, The Lorenz Map. Discrete Dynamical Systems: One-Dimensional Maps, Chaos, Fixed Points and Cobwebs, The Liapunov Exponent, Universality and Feigenbaum's Number, Renormalization Theory, Fractals, Countable and Uncountable Sets, The Cantor Middle-Thirds Set, Self-Similar Fractals and Their Dimensions, The von Koch Curve, Box Dimension and Multifractals.
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  • ENVS 098: The Next Millenium:Would Technology Help Us Resolve the Environmental Dilemma

    3.00 Credits
    University of Pennsylvania

    Distribution Course in Society. Class of 2009 & prior only. Bokreta / Santiago-Aviles. Over the last century we have witnessed the dominance of man over nature. Technology, our understanding of our environment and our consumption habits have been the principal weapons used in this conquest. Now, at the beginning of a new millenium, questions and concerns about our actions and perceptions are being raised. Can today's technology and new knowledge about our environment and human nature assure our survival How can we use the next hundred years to reconstruct and restore our future These are the fundamental questions that the class will investigate.This course will rely on evidence,the use of hypotheses, theories, and logic as well as students' scientific inquiry and creativity. We will discuss systems, models, simulations, constancy, patterns of change, evolution, and scale.
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  • ENVS 200: Introduction to Environmental Analysis

    3.00 Credits
    University of Pennsylvania

    Physical World Sector. All classes. Plante. Introduction to Environmental Analysis will expose students to the principles that underlie our understanding of how the Earth works. The goal of Earth Systems Science is to obtain a scientific understanding of the entire Earth system by describing its component parts (lithosphere, hydrosphere, atmosphere, biosphere) and their interactions, and describe how they have evolved, how they function, and how they may be expected to respond to human activity. The challenge to Earth Systems Science is to develop the capability to predict those changes that will occur in the next decade to century, both naturally and in response to human activity. Energy, both natural and human-generated, will be used as a unifying principle. Knowledge gained through this course will help students make informed decisions in all spheres of human activity: science, policy, economics, etc.
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  • ENVS 295: Maritime Science and Technology:Woods Hole Sea Semester

    3.00 Credits
    University of Pennsylvania

    Dmochowski. Prerequisite(s): Laboratory course in physical or biological science or its equivalent; college algebra or its equivalent. This set of courses requires special application procedures. Contact Dr. Giegengack for information and an application. A rigorous semester-length academic and practical experience leading to an understanding of the oceans. The Sea Semester is composed of two intensive six-week components taken off-campus. The Shore Component is six weeks at Woods Hole, Massachusetts, with formal study in: Oceanography, Maritime Studies, and Nautical Science. This is followed by six weeks aboard a sailing research vessel, during which students conduct oceanographic research projects as part of the courses, Practical Oceanography I and II. Maritime Studies. A multidisciplinary study of the history, literature, and art of our maritime heritage, and the political and economic problems of contemporary maritime affairs. Nautical Science. The technologies of operation at sea. Concepts of navigation, naval architecture, ship construction, marine engineering systems, and ship management are taught from their bases in physics, mathematics, and astronomy. Practical Oceanography I. Taken aboard SSV Westward or SSV Corwith Cramer. Theories and problems raised in the shore component are tested in the practice of oceanography at sea. Students are introduced to the tools and techniques of the practicing oceanographer. During two lectures daily and while standing watch, students learn the operation of basic oceanographic equipment, the methodologies involved in the collection, reduction, and analysis of oceanographic data, and the attendant operations of a sailing oceanographic research vessel. Practical Oceanography II. Taken aboard SSV Westward or SSV Corwith Cramer. Students assume increasing responsibility for conducting oceanographic research and the attendant operations of the vessel. The individual student is responsible directly to the chief scientist and the master of the vessel for the safe and orderly conduct of research activities and related operation of the vessel. Each student completes an individual oceanographic research project designed during the shore component.
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  • ENVS 299: Independent Study

    3.00 Credits
    University of Pennsylvania

    Staff. Prerequisite(s): Permission of department. May be repeated for credit. Directed study for individuals or small groups under supervision of a faculty member.
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  • ENVS 301: Environmental Case Studies

    3.00 Credits
    University of Pennsylvania

    Doheny. Prerequisite(s): ENVS 200. A detailed, comprehensive investigation of selected environmental problems. Guest speakers from the government and industry will give their acccounts of various environmental cases. Students will then present information on a case study of their choosing.
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  • ENVS 399: Environmental Studies Research Seminar for Juniors

    3.00 Credits
    University of Pennsylvania

    Dmochowski. Prerequisite(s): ENVS200. This seminar is designed to help Juniors prepare for the Senior Thesis research. Topic selection, advisor identification, funding options, and basic research methods will be discussed.
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  • ENVS 400: Environmental Studies Seminar

    3.00 Credits
    University of Pennsylvania

    Scatena. May be repeated for credit. Application of student and faculty expertise to a specific environmental problem, chosen expressly for the seminar.
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  • ENVS 404: Urban Environments:Speaking About Lead in West Philadelphia

    3.00 Credits
    University of Pennsylvania

    Pepino. ABCS Course. Requires community service in addition to class time. Lead poisoning can cause learning disabilities, impaired hearing, behavioral problems, and at very high levels, seizures, coma and even death. Children up to the age of six are especially at risk because of their developing systems; they often ingest lead chips and dust while playing in their home and yards. In ENVS 404, Penn undergraduates learn about the epidemiology of lead poisoning, the pathways of exposure, and methods for community outreach and education. Penn students collaborate with middle school and high school teachers in West Philadelphia to engage middle school children in exercises that apply environmental research relating to lead poisoning to their homes and neighborhoods.
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  • ENVS 405: Urban Environment II

    3.00 Credits
    University of Pennsylvania

    Pepino. Prerequisite(s): ENVS 404 or permission of instructor. Requires community service. An independent study where Penn undergraduates can explore the health, environmental, and natural resource issues of Philadelphia,with a focus on the specific needs of West Philadelphia. Current public health concerns impacting vulnerable populations such as children, especially lead poisoning and asthma, are potential topics. Environmental issues such as water supply, air quality, radon, brownfields, and sprawl would also be good areas of study. Community service can be a component of the study. Permission from the instructor is required.
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