User:Egm6322.s12.team2.steele.m2/Mtg1

=EGM6321 - Principles of Engineering Analysis 1, Fall 2011=

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… the “big three” technologies for the numerical solution of PDEs, which came into their own in successive decades: 1950s: Finite difference methods 1960s: Finite element methods 1970s: Spectral methods Trefethen 2000, Spectral methods, p.ix. It’s all about solving differential equations (Des) (ODEs and PDEs): Deterministic or stoachastic (for uncertainty quantification). 3 tightly-connected courses: (Disclaimer:  My course organization) EGM 6321 Principles of Engineering Analysis 1 (PEA1): Analytical methods for solving 1st-order and 2nd-order ODEs (Ordinary Differential Equations), orthogonal polynomials, tools for spectral method. EGM 6341 Numerical methods 1 (NM1): Numerical integration of functions (quadratures) and ODEs, finite difference method, tools for spectral method. EML 5526 Finite Element Method (FE1): Solving linear PDEs, steady-state and transient problems.

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A little more details … PEA1: Legendre differential equation (DE) Legendre polynomials (orthogonal) Self-adjoint DE 				Fourier-Legendre series Analytical solution Approximation for spectral method More … NM1: Gauss-Legendre quadrature Integrating ODEs in time Clenshaw-Curtis quadrature for spectral method More… FE1: Self-adjoint (transient) PDEs Evaluating FE matrices Solving semi-discrete equations in time More …

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Course wiki: http://en.wikiversity.org/wiki/User:Egm6321.f11 (en = English, Egm6321=course number, f11=fall 2011, my wiki username) Course info: Click at course title Syllabus: From course info Other important info: Policy, report guidelines, … Also access from Sakai 	https://lss.at.ufl.edu/ Web search for “vu-quoc wikiversity”

Important links Lecture plan: Including lecture notes, references, inspiring quotations, and other info related to the course. See Fall 2010, Fall 2009. Report table: Reports, for 30% course grade, are “Exam 3” in 7 installments (“take home”, done in team, open book, open notes); formal project reports, NOT the usual HW for 10% course grade. See examples in Fall 2010, Fall 2009. Writing tools: Important docs for efficient wiki writing; read Writing tools, pros and cons Almost-WYSIWYG wiki writing Other courses

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HW: Read course info, syllabus, policy Browse Lecture Plan Fall 2011 (to be updated frequently), Fall 2010, Fall 2009 Browse Report Table Fall 2010, Fall 2009 Read Writing tools, pros and cons Almost-WYSIWYG wiki writing Report guidelines Open skype account, and fill team-formation form (to be sent out by e-mail) (end HW) /// Note: HW = assignments, no written report required Rm.n = Report number “m”, problem number “n “. 3 slashes (///) mark the end of a section that begins with a blue, underlined title. Page number 1-4 = Meeting number 1, page 4. (end Note) /// Enroll = Agree with teaching and learning style (“Open-source” teaching and learning)

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Note: Class mailing lists 3 class mailing lists = 1 for on-campus students + 2 for off-campus students

Important course info, announcements, etc. are conveyed by e-mail via the class mailing lists.

It is important that you are on the class mailing list. I sent out a test e-mail to the class mailing lists; if you did not receive this test e-mail, that means your e-mail address was not on one of the lists.

If you are registered for the course, and did NOT receive my test e-mail, please send me an e-mail with the subject header “PEA1: Add e-mail to class mailing list” Subject tag for ALL e-mails related to the course And go see the registrar to have your gatorlink e-mail in the classroll.

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Motivation: High-speed trains German Transrapid Emsland 500 km/h: youtube video, Uploaded by TransrapidSupporter on Feb 14, 2007