Math 421 Syllabus

# Math 421 Syllabus - 6.2]Euler and Runge-Kutta Methods 3...

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Advanced Calculus for Engineering 01:640:421, Section 01, Spring 2012 Instructor: Roderich TumulkaPhone: 732-445-2390 x 1322Office: Hill 522 Office hours: WTh 11am-12pmEmail: instructor's last name, then @, then math.rutgers.edu Syllabus Part I: Laplace transforms [Chap. 4] Definition of the Laplace transform L , its properties; techniques for computing L and L -1 ; application to ordinary differential equations. 6 lectures: Jan 18-Feb 6 Part II: Fourier series [Chap. 12, 15.3-15.4] Expansion into orthogonal functions; Fourier series using real or complex numbers, their application in music and in ODEs with periodic driving force; even and odd functions, their Fourier series; Fourier integral. 6 lectures: Feb 8-27 Catch-up and review, 2 lectures: Feb 29-Mar 5Midterm exam (about Laplace transform and Fourier series): Wednesday Mar 7, 1:40-3pmSpring break: Mar 10-18 Part III: Numerical solutions of ordinary differential equations [Chap. 6.1-

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Unformatted text preview: 6.2]Euler and Runge-Kutta Methods. 3 lectures: Mar 19-26 Part IV: Heat, wave, and Laplace's equation [Chap. 9.4-9.5, 13, 14.1] Review of vector calculus, gradient and Laplace operator; heat, wave, and Laplace's equation; more general linear 2nd-order PDEs; boundary conditions; the method of separation of variables, Sturm-Liouville problems; heat equation in polar coordinates. 7 lectures: Mar 28-April 18 Catch-up and review, 3 lectures: April 23-30Final exam (about all topics of the course): Tuesday May 8, 12:00-3:00pm Textbook Dennis G. Zill and Warren S. Wright: Advanced Engineering Mathematics, Fourth Edition Jones and Bartlett , 2011; Grades 40% homework 20% midterm exam 40% final exam Participants who cannot attend a lecture or cannot hand in their homework in time are expected to contact me by email....
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