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Institution:
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Williams College
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Subject:
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Physics
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Description:
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This course covers a variety of mathematical methods used in the sciences, focusing particularly on the solution of ordinary and partial differential equations. In addition to calling attention to certain special equations that arise frequently in the study of waves and diffusion, we develop general techniques such as looking for series solutions and, in the case of nonlinear equations, using phase portraits and linearizing around fixed points. We study some simple numerical techniques for solving differential equations. A series of optional sessions in Mathematica will be offered for students who are not already familiar with this computational tool.
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Credits:
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3.00
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Credit Hours:
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Prerequisites:
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Mathematics 105 or 106 and familiarity with Newtonian mechanics at the level of Physics 131
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Corequisites:
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Exclusions:
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Level:
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Instructional Type:
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Lecture
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Notes:
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Additional Information:
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Historical Version(s):
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Institution Website:
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Phone Number:
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(413) 597-3131
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Regional Accreditation:
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New England Association of Schools and Colleges
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Calendar System:
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Four-one-four plan
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