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Course Goals: Differential Equations are ubiquitous in the sciences and engineering. This course is designed to serve students in engineering, physics, mathematics and related areas with the aim of applying, understanding qualitatively, and solving ordinary differential equations of the most usual types. The course starts with an introduction to the concept of differential equations. It covers first order methods, including separability, exactness, integrating factors, first order linear equations, Bernoulli's equations, and second order equations reducible to first order ones. It also includes some applications, possibly including mechanics. The course continues with higher order methods for constant coefficient linear equations including particular solutions and general solutions by the method of undetermined coefficients. It includes variation of parameters operator methods, linear independence and the Wronskian. Applications include vibrating springs, resonance, and electrical circuits. The course also covers Laplace transform methods, including properties of the Laplace transform, solution of initial value problems, and series solutions.
Exams and Grading:
Work: There will be near weekly assessment in the form of collected homework assignments or quizzes. Three times in the term, the results will be totaled and scaled to 20 points for a maximum possible of 60 points over the term.
Exams: There will be three 60-point midterms during the term and a 120-point comprehensive final examination. At the end of the term I will drop the lower of half the grade from the final exam or the lowest score from the three midterms. Thus the total exam score will be 240 points.
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Mailing List: The mailing list for this course is SPRING-7742-L@lists.ufl.edu. I will use this list to provide information on assignments and on what you should read for the next class. You will automatically be subscribed to this list; email me if you want to change your subscription.
You are expected to follow the University Academic Honesty Guidelines and the Student Honor Code
Specifically, you are expected to refrain from cheating, to stop others from using your work to cheat, to be clear about giving credit to others rather than plagarizing, and to make only fair use of copyrighted materials and software.