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  • 11 URG: Undergraduate Research

    0.00 - 6.00 Credits
    Massachusetts Institute of Technology

    Undergraduate research opportunities in Urban Studies and Planning. For further information, consult the Departmental Coordinators. Prerequisite:    Prereq: None
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  • 12 000: Solving Complex Problems

    1.00 Credits
    Massachusetts Institute of Technology

    Provides an opportunity for entering freshmen to gain first-hand experience in integrating the work of small teams to develop effective solutions to complex problems in Earth system science and engineering. Each year's class explores a different problem in detail through the study of complementary case histories and the development of creative solution strategies. Includes exercises in website development, written and oral communication, and team building. Subject required for students in the Terrascope freshman program, but participation in Terrascope is not required of all 12.000 students. Students who pass 12.000 are eligible to participate in the Terrascope field trip the following spring. Limited to freshmen. Prerequisite:    Prereq: None
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  • 12 001: Introduction to Geology

    3.00 Credits
    Massachusetts Institute of Technology

    Major minerals and rock types, rock-forming processes, and time scales. Temperatures, pressures, compositions, structure of the Earth, and measurement techniques. Geologic structures and relationships observable in the field. Sediment movement and landform development by moving water, wind, and ice. Crustal processes and planetary evolution in terms of global plate tectonics with an emphasis on ductile and brittle processes. Includes laboratory exercises on minerals, rocks, mapping, plate tectonics, rheology, glaciers. Two one-day field trips (optional). Prerequisite:    Prereq: None
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  • 12 002: Physics of the Terrestrial Planets

    3.00 Credits
    Massachusetts Institute of Technology

    Study of the structure, composition, and physical processes governing the terrestrial planets, including their formation and basic orbital properties. Topics include plate tectonics, earthquakes, seismic waves, rheology, impact cratering, gravity and magnetic fields, heat flux, thermal structure, mantle convection, deep interiors, planetary magnetism, and core dynamics. Suitable for majors and non-majors seeking general background in geophysics and planetary structure. Prerequisite:    Prereq: Physics II (GIR), Calculus II (GIR)
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  • 12 003: Physics of the Atmosphere and Ocean

    3.00 Credits
    Massachusetts Institute of Technology

    The laws of classical mechanics and thermodynamics are used to explore how the properties of fluids on a rotating Earth manifest themselves in, and help shape, the global patterns of atmospheric winds, ocean currents, and the climate of the Earth. Theoretical discussion focuses on the physical processes involved. Underlying mechanisms are illustrated through laboratory demonstrations, using a rotating table, and through analysis of atmospheric and oceanic data. Prerequisite:    Prereq: Calculus II (GIR), Physics I (GIR)
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  • 12 005: Applications of Continuum Mechanics to Earth, Atmospheric, and Planetary Sciences

    3.00 Credits
    Massachusetts Institute of Technology

    Practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Stress tensor, infinitesimal and finite strain, and rotation tensors are developed. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation. Laboratory component provides specific examples of elastic and inelastic mechanical behavior of rocks and illustrates several methods of measurement in the laboratory. Prerequisite:    Prereq: Physics II (GIR), Calculus II (GIR); Coreq: 18.03
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  • 12 006J: Nonlinear Dynamics I: Chaos

    3.00 Credits
    Massachusetts Institute of Technology

    Introduction to nonlinear dynamics and chaos in dissipative systems. Forced and parametric oscillators. Phase space. Periodic, quasiperiodic, and aperiodic flows. Sensitivity to initial conditions and strange attractors. Lorenz attractor. Period doubling, intermittency, and quasiperiodicity. Scaling and universality. Analysis of experimental data: Fourier transforms, Poincare sections, fractal dimension, and Lyapunov exponents. Applications to mechanical systems, fluid dynamics, physics, geophysics, and chemistry. See 12.207J/18.354J for Nonlinear Dynamics II. Prerequisite:    Prereq: 18.03 or 18.034; Physics II (GIR)
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  • 12 007: Geobiology: History of Life on Earth

    3.00 Credits
    Massachusetts Institute of Technology

    Surveys the interactive Earth system: biology in geologic, environmental and climate change throughout Earth?s history. Introduces the concept of "life as a geological agent" and examines the interaction between biology and the Earth system during the roughly 4 billion years since life first appeared. Topics include the origin of the solar system and the early Earth atmosphere; the origin and evolution of life and its influence on climate up through and including the modern age and the problem of global warming; the global carbon cycle; and astrobiology. Prerequisite:    Prereq: None
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  • 12 008: Classical Mechanics: A Computational Approach

    3.00 Credits
    Massachusetts Institute of Technology

    Classical mechanics in a computational framework, Lagrangian formulation, action, variational principles, and Hamilton's principle. Conserved quantities, Hamiltonian formulation, surfaces of section, chaos, and Liouville's theorem. Poincare integral invariants, Poincare-Birkhoff and KAM theorems. Invariant curves and cantori. Nonlinear resonances, resonance overlap and transition to chaos. Symplectic integration. Adiabatic invariants. Applications to simple physical systems and solar system dynamics. Extensive use of computation to capture methods, for simulation, and for symbolic analysis. Programming experience required. Students taking the graduate version complete additional assignments. Prerequisite:    Prereq: Physics I (GIR), 18.03, permission of instructor
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  • 12 009: Theoretical Environmental Analysis

    3.00 Credits
    Massachusetts Institute of Technology

    Analyzes cooperative processes that shape the natural environment, now and in the geologic past. Emphasizes the development of theoretical models that relate the physical and biological worlds, the comparison of theory to observational data, and associated mathematical methods. Topics include carbon cycle dynamics; ecosystem structure, stability and complexity; mass extinctions; biosphere-geosphere coevolution; and climate change. Employs techniques such as stability analysis; scaling; null model construction; time series and network analysis. Prerequisite:    Prereq: Physics I (GIR); Coreq: 18.03
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