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Differential equations are a powerful and pervasive mathematical tool in the sciences and are fundamental in pure mathematics as well. Almost every system whose components interact continuously over time can be modeled by a differential equation, and differential equation models and analyses of these systems are common in the literature in many fields including physics, ecology, biology, astronomy, and economics.
I would (and will) argue that Newton's Principia is the most important book yet written. It is certainly the most important book that a vanishingly small number of people have actually read.
Scanning electron microscopes are a fundamental tool in the physical and life sciences. When equipped with an X-Ray spectrometer, a SEM can provide rapid physical and chemical data of specimens on extremely small scales. This class with cover the theory and practical applications of SEM imaging and analysis for advanced science students who have their own research interests. Students will be expected to develop and conduct an independent research project through this class.