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Math 214-002 Elementary Differential Equations, …

Math 214- 002 elementary differential equations , Fall 2017 Lectures: MW: 9am - 10:15 am, Robinson Hall B104. Lecturer: Dr. E. Sander, Exploratory Hall, Rm 4408, esander at (where the at is replaced with the @ sign). Office Hours: MW: 10:30-11:30 Teaching Assistant: Heath Camphire Email will be posted on Blackboard Office Hours: will be posted on Blackboard Prerequisite: Grade of C or better in MATH 213. Prerequisite(s) enforced by registration system. Course Text: Elementary Differential equations , 10th Edition, by William E. Boyce and Richard C. DiPrima, Wiley, 2012. We will be covering textbook Chapters 1-6. Course goals: This course covers first-order ODEs, higher-order ODEs, Laplace transforms, linear systems, nonlinear systems, numerical approximations, and modeling.

Honor Code: THIS IS IMPORTANT. PAY ATTENTION TO THIS. It is expected that each student in this class will conduct himself or herself within …

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Math 214-002 Elementary Differential Equations

math.gmu.edu

Course Text: Elementary Differential Equations, 10th Edition, by William E. Boyce and Richard C. DiPrima , Wiley, 2012. We will be covering textbook Chapters 1-7. We will be covering textbook Chapters 1-7.

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Numerical Solution of Stochastic Di erential Equations in ...

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Algebra I, Algebra II, and Transcendentals Review

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2 u 5 12 5 2 1 6 5 2 6u u The quotient of two fraction d c b a y is equal to c d b a u or cb ad Example: 49 ounces of a solution is to be poured into test tubes with capacity 2 1 3 ounces. How many test tubes will be filled? Solution: 14 7 2 49 2 7 49 2 1 49 y 3 y u 14 test tubes will be filled.

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MATH 214 { QUIZ 12 { SOLUTIONS Use the Laplace transform (and the table below) to solve the initial value problem y00+3y0+2y = 0; y(0) = 1; y0(0) = 0: Solution: Taking the Laplace transform of …

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EULER’S FORMULA FOR COMPLEX EXPONENTIALS According to Euler, we should regard the complex exponential eit as related to the trigonometric functions cos(t) and sin(t) via the following inspired definition:eit = cos t+i sin t where as usual in complex numbers i2 = ¡1: (1) The justification of this notation is based on the formal derivative of both sides,

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posite numbers), a fast algorithm exists to compute these (fast FT). 3. Calculus: The functions of the form eat cos bt and eat sin bt come up in applications often. To find their derivatives, we can either use the product rule or use Euler’s formula (d dt)(eat cos bt+ieat sin bt) = (d dt)e(a+ib)t = (a+ib)e(a+ib)t = (a+ib)(eat cos bt+ieat sin ...

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