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Course: ECE ECE384, Spring 2010School: UMass Dartmouth
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UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE384
UMass Dartmouth - ECE - ECE 384
UMass Dartmouth - ECE - ECE 384
UMass Dartmouth - ECE - ECE 384
UMass Dartmouth - ECE - ECE 384
UMass Dartmouth - ECE - ECE 384
UMass Dartmouth - ECE - ECE 384
UMass Dartmouth - ECE - ECE 384
San Diego - MAE - 101A
MAE 101A: Introductory Fluid Mechanics Winter 2009 FINAL EXAM Professor Alison Marsden Thursday 19th, 2009. Short answers: 1. (6pt) State in words the physical meaning for a) the gradient of a scalar field and c) the curl of a vector field v. 2. (2pt) Sta
San Diego - MAE - 101A
MAE 101A: Introductory Fluid Mechanics Homework 6 Due Wednesday March 17, 5:00 PMProblem 1 The y component of velocity in a steady incompressible flow field in the xy plane is v= 2xy (x2 + y 2 )2Show that the simplest expression for the x component of v
San Diego - MAE - 101A
An illustration of a mass balance with a deforming control volume has already been given in Example 3.2. The control-volume mass relations, Eq. (3.20) or (3.21), are fundamental to all fluidflow analyses. They involve only velocity and density. Vector dir
San Diego - MAE - 107
MAE 107 Problem JDG-NA01 1.) In the Matlab command window, construct an mn matrix A = [Aij ], say, A, in Matlab notation, with m, n each being approximately three or four and not necessarily equal, and Aij being real numbers of your choosing. Then. verify
San Diego - MAE - 107
MAE 107 Solution to Problem JDG-NA01 1.) In the Matlab command window, construct an m n matrix A = [Aij ], say, A, in Matlab notation, with m, n each being around three or four and not necessarily equal, and Aij being real numbers of your choosing. Then.
San Diego - MAE - 107
MAE 107 Problem JDG-NA02 1.) As the first step in Gaussian elimination, i.e. reduction of a given m n matrix A to row echelon form with pivoting, one normally exchanges a pivot row rT (A), whose leading non-zero element has the p greatest absolute value,
San Diego - MAE - 107
MAE 107 Problem JDG-NA031.) Write a Matlab function cpucomp that will compare the required CPU time (on whatever platform is used) for solution of the n 1 linear equation Ax = b by means of the Matlab operations x=inv(A)*b and x=A\b, for the case of a ra
San Diego - MAE - 107
MAE 107 Problem JDG-NA04 1.) Download the necessary M-files from the course website or the Mathworks website:http:/www.mathworks.com/moler/ncmfilelist.htmland work Moler Problems 3.1, 3.2, 3.3, 3.4, 6.1. (If you encounter difficulties with any of Moler'
San Diego - MAE - 107
MAE 107 Solution to Problem JDG-NA04 1.) Download the necessary M-files from the course website or the Mathworks website:http:/www.mathworks.com/moler/ncmfilelist.htmland work Moler Problems 3.1, 3.2, 3.3, 3.4, 6.1. (If you encounter difficulties with a
San Diego - MAE - 107
MAE 107 Solution to Problem JDG-NA02 1.) As the first step in Gaussian elimination, i.e. reduction of a given m n matrix A to row echelon form with pivoting, one normally exchanges a pivot row rT (A), whose leading non-zero element has the p greatest abso
San Diego - MAE - 107
MAE 107 Solution Problem JDG-NA03 1.) Write a Matlab function cpucomp that will compare the required CPU time (on whatever platform is used) for solution of the n 1 linear equation Ax = b by means of the Matlab operations x=inv(A)*b and x=A\b, for the cas
San Diego - MAE - 107
Midterm Examination MAE 107 Sp09 (Open book and notes. No laptop computers or communication devices are allowed.)1 1.) (25 %) Given the matrix: 1 2 3 A= 6 5 4 7 8 9 a.) write down a single-line Matlab command that will generate the matrix as a Matlab vari
San Diego - MAE - 101B
MAE 101B Advanced Fluid Mechanics Spring 2010 Homework # 2 Assigned: April 5 2010 Due: April 12 2010, in class.Each problem is worth 10 points.1. Fox, Pritchard & McDonald 8.2 2. Fox, Pritchard & McDonald 8.14 3. Fox, Pritchard & McDonald 8.22 4. Fox, P
San Diego - MAE - 101B
MAE 101B Advanced Fluid Mechanics Spring 2010 Homework # 3 Assigned: April 16 2010 Due: April 23 2010, in class.Each problem is worth 10 points.1. Fox, Pritchard & McDonald 8.50 2. Fox, Pritchard & McDonald 8.70 3. Fox, Pritchard & McDonald 8.74 4. Fox,
San Diego - MAE - 101B
MAE 101B Advanced Fluid Mechanics Spring 2010 Homework # 4 Assigned: April 23 2010 Due: April 30 2010, in class.Each problem is worth 10 points.1. Fox, Pritchard & McDonald 8.86 2. Fox, Pritchard & McDonald 8.90 3. Fox, Pritchard & McDonald 8.124 4. Fox
San Diego - MAE - 108
MAE 108 Probability and Statistical Methods for Engineers Winter 2010 Homework # 1 Assigned: January 6 2010 Each problem is worth 10 points. 1. Let E, F , G be three events. Find expressions for the events that of E, F , G (a) only E occurs; (b) both E an
San Diego - MAE - 108
San Diego - MAE - 108
MAE 108 Probability and Statistical Methods for Engineers Winter 2010 Homework # 2 Assigned: January 13 2010 Each problem is worth 10 points. 1. Show the following properties (a) If E F then P (E) P (F ) (b) If you have n events Ei , then P (i Ei ) i P (E
San Diego - MAE - 108
San Diego - MAE - 108
MAE 108 Probability and Statistical Methods for Engineers Winter 2010 Homework # 3 Assigned: January 20 2010 Each problem is worth 10 points. 1. Ang & Tang, Problem 2.65 2. Ang & Tang, Problem 2.69 [Hint: this one is a bit harder than most problems we saw
San Diego - MAE - 108
San Diego - MAE - 108
MAE 108 Probability and Statistical Methods for Engineers Winter 2010 Homework # 4 Assigned: February 3 2010 Due: February 10 2010, in class.Each problem is worth 10 points. For many of the problems you will have to use the numerical values of the CDF (x
San Diego - MAE - 108
San Diego - MAE - 108
San Diego - MAE - 108
San Diego - MAE - 108
NAME:MAE 108 Probability and Statistical Methods for Engineers - Winter 2010 Midterm # 1 - January 29, 2010 50 minutes, open book, open notes, calculator allowed, no cell phones. Write your answers directly on the exam. 50 points total. (1) (10 points) A
San Diego - MAE - 108
NAME:MAE 108 Probability and Statistical Methods for Engineers - Winter 2010 Midterm # 2 - February 22, 2010 50 minutes, open book, open notes, calculator allowed, no cell phones. Write your answers directly on the exam. 40 points total. (1) (10 points)
San Diego - MAE - 110A
San Diego - MAE - 143B
Homework 1 - MAE143B Spring 2010: due Thursday April 8[Hint: get moving on this homework early, so that you can take advantage of the office hours and class times. The problems are not difficult but could well require some assistance in getting matlab/Si
San Diego - MAE - 143B
Question 2The proceeding simulations compares the effects of the proportional and integral gains on the closed-loop dynamic behavior of the car cruise control system.20.3 kp = .5, kI = .1 kp = .8, kI = .1 20.2 kp = .5, kI = .3 vdes 20.1Velocity (m/s)2
San Diego - MAE - 143B
Homework 2 - MAE143B Spring 2010: due Thursday April 15 Question 1 - State Variable RealizationConsider the system from input, u(t), to output, y(t), described by the transfer function s3 + 2.4s2 4s + 4 . + 25.84s + 50.08Provide a state-variable descrip
San Diego - MAE - 143B
Question 1The differential equation corresponding to the transfer function is . y (t) + 2.4(t) + 25.84y(t) + 50.08y(t) = 4u(t) + 4u(t). y Define a variable q(t) which satisfies . q (t) + 2.4(t) + 25.84q(t) + 50.08y(t) = u(t). q As is easily verified, thi
San Diego - MAE - 143B
Homework 3 - MAE143B Spring 2010: due Thursday April 22 Question 1: Initial state calculationConsider the state-variable realization of the system described by the nth -order ordinary differential equation y (n) (t) + a1 y (n-1) (t) + + an-1 y(t) + an y(
San Diego - MAE - 143B
Question 1We are given the system x(t) = Ax(t) + Bu(t), y(t) = Cx(t) + Du(t). (1) (2)To relate y(0) to the state x(0), substitute t = 0 into (2) (note that u(0) and all derivatives of u(t) evaluate at dk t = 0 are zero). This yields y(0) = Cx(0). To rel
San Diego - MAE - 143B
Homework 4 - MAE143B Spring 2010: due Thursday April 29 Question 1: Matrix exponential computations by hand[Hint: Do your computations by hand and check them using matlab.] Consider the matrix 1 A = -1 -4 0 1 -4 0 1 . -3Part i: Show that the characteris
San Diego - MAE - 143B
Note: matlab files for Question 1 at end.Note: Matlab files for Question 2 at end.a = [1,0,0;-1,1,1;-4,-4,-3]; J = [1,0,0;0,-1,1;0,0,-1]; v = [1,0,0;2,1,0;3,2,1]; syms s t disp('verify part i') v*a-J*v disp('verify part ii') L = s*eye(3) - a; det(L)*inv