This preview shows pages 1–12. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Engineering 101 Engineering 101 Lecture 28 Lecture 28 Project 7, Gaussian Elimination and Project 7, Gaussian Elimination and MATLAB MATLAB Prof. Michael Falk University of Michigan, College of Engineering Announcements Announcements Exam 3 Monday, Nov 20, 79pm Sample Exams now posted, Review Friday Exam Rooms by Last Name: AB Dow 1018 CG Chrysler 133 HK Dow 1017 LO Dow 1014 PZ Chrysler 220 (Cheseborough) Early Administration, Fri, Nov 18, 35pm in CSE 1670 Contact me today if you need to take the exam early So far: Jack Hall, Alex Lee, Marcus Lewis, Nat Christman, Noah Goodman, Nick Beier, Kaushik Seshan Project 7 Project 7 This is an intro to MATLAB with 2 parts Part 1: Write an MFile to solve for the flows in a chemical reactor making methanol Start with the diagram and use it to come up with 15 equations for the 15 unknowns. Compose these into a 15x15 matrix and solve using a MATLAB Mfile. Project 7 Project 7 Part 2: Write two MATLAB Mfiles containing functions Function 1  playit(filename, start, duration) Plays a sample clip from start of length duration. Function 2  mixit(filenameA, filenameB, filenameC, start, duration) Convolve a short clip from B from start of length duration with the sound in A. Play the result and write it to C. Tomography Tomography How can we compute the mass through which each beam passes? First row: 8 0 = m Second row: 2 + 6 1 = m 1 Third row: 2 + 2 1 + 4 2 = m 2 Fourth row: 2 + 2 1 + 2 2 + 2 3 = = 0.1 1 = 0.2 2 = 0.5 3 = 1.0 m m 1 m 2 m 3 m 3 m 2 m 1 m Tomography Tomography How can we compute the mass through which each beam passes? 8 0 = m 2 + 6 1 = m 1 2 + 2 1 + 4 2 = m 2 2 + 2 1 + 2 2 + 2 3 = m 3 = 0.1 1 = 0.2 2 = 0.5 3 = 1.0 m m 1 m 2 m 3 m 3 m 2 m 1 m Tomography Tomography How can we compute the mass through which each beam passes? 8 0 = m 2 + 6 1 = m 1 2 + 2 1 + 4 2 = m 2 2 + 2 1 + 2 2 + 2 3 = m 3 8 0 0 m 2 6 1 m 1 2 2 4 2 m 2 2 2 2 2 3 m 3 = 0.1 1 = 0.2 2 = 0.5 3 = 1.0 m m 1 m 2 m 3 m 3 m 2 m 1 m = Tomography Tomography Of course the problem of finding the mass of a slice is not the problem we are usually interested in solving. We can measure the masses of the slices by tomography. We want to know the density of the rings given the masses of the slices. This is straightforward if the matrix is triangular. The Inverse Problem The Inverse Problem 8 0 0 m 2 6 1 m 1 2 2 4 2 m 2 2 2 2 2 3 m 3 Getting the first density is easy: A 00 0 = m 0 = m / A 00 = The Inverse Problem The Inverse Problem 8 0 0 m 2 6 1 m 1 2 2 4 2 m 2 2 2 2 2 3 m 3 Getting the second density is a bit harder: A 10 0 + A 11 1 = m 1 1 = (m 1  A 10 ) / A 11 = The Inverse Problem The Inverse Problem...
View
Full
Document
This note was uploaded on 04/02/2008 for the course ENGR 101 taught by Professor Ringenberg during the Fall '07 term at University of Michigan.
 Fall '07
 Ringenberg

Click to edit the document details