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Course: M 351, Fall 2009
School: Delaware
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for Review MIDTERM EXAM II( Friday- November 11). CHAPTER 9 Vector space. Sections 9.6-9.9 -Generalized Vector Spaces, inner product, norm -Span and Subspace -Bases, Expansions, Dimension Review problems: 9.6 # 10, 12 a, d 9.7 # 1 ae, 3, 5ab. 9.8 # 3 acd, 4, 5. 9.9 # 1 ad, 2a, 4bh, 8ah, 9h. CHAPTER 10: Matrices and Linear Equations. Sections 101.-10.6 -Matrices and Matrices Algebra,...

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for Review MIDTERM EXAM II( Friday- November 11). CHAPTER 9 Vector space. Sections 9.6-9.9 -Generalized Vector Spaces, inner product, norm -Span and Subspace -Bases, Expansions, Dimension Review problems: 9.6 # 10, 12 a, d 9.7 # 1 ae, 3, 5ab. 9.8 # 3 acd, 4, 5. 9.9 # 1 ad, 2a, 4bh, 8ah, 9h. CHAPTER 10: Matrices and Linear Equations. Sections 101.-10.6 -Matrices and Matrices Algebra, Transposes: properties -Block multiplication, Power of a square matrix. -Special type of matrices: symmetric, skew symmetric, identity matrix, -Determinants: cofactor expansion, properties, row operation method. -Rank, to applications linear dependence and existence and uniqueness of linear systems Review problems: 10.2 # 8ab, 11a, 12a, 21ac. 10.3 # 4a, 6, 7a, 9. 10.4 # 2a, 3a, 4a, 7, 9a, 10. 10.5 # 1 cde, 6a, 8ac, 15. 10.6 # 1agq, 2g, 5bd. CHAPTER 11: Eigenvalue Problem. Sections 11.2-11.4 -Know to Find eigenvalues, eigenvectors, eigenspaces for square matrices of dimension two and thre...

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Delaware - MATH - 456
The Final Project :Directions:1) Choose a topic of interest to you but related with the topics of the book. 2) Learn about the topic: Use references beyond the text book. 3) The project should include programming and numerical experiments
Delaware - M - 351
Review for MIDTERM EXAM I (Friday- September 30).CHAPTER 2 Differential Equations. Sections 2.2, 2.3, 2.4-First Order Linear Equations -Bernoulli's equation (Section 2.2 Exercise #9) -Applications: Radioactivity decay; Mixing problem. -Separat
Delaware - MATH - 342
Review for the FINAL EXAM (Thursday-December 16, 10:30-12:30).I) Review the the Midterm I and Midterm II. II) From Leon's book: CHAPTER 3- VECTOR SPACES (Section 1-Section 4)-Definitions, Properties, Vector spaces axioms -Subspaces, Span and
Delaware - M - 353
Review for MIDTERM EXAM II (Wednesday, April 25).CHAPTER 4, Interpolation Section 4.3 -Interpolation, extrapolation, Lagrange coefficient polynomials (Cardinal functions) , Lagrange Interpolation, Theorem 4.3, page 211. -Review problems:4.3
Delaware - M - 353
Review for MIDTERM EXAM II (Friday, April 28).CHAPTER 4, Interpolation Section 4.3 -Interpolation, extrapolation, Lagrange coefficient polynomials (Cardinal functions) , Lagrange Interpolation, Theorem 4.3, page 211. -Review problems:4.3 #1,
Delaware - MATH - 455
Review for the FINAL EXAM (Thursday, December 18, 12:20PM in 107 Wartik).3.1-3.3 Bisection method, Newton's method, Secant method. -Review problems: 3.1 #2, 4. 3.2 #6, 7, 9, 10, 23. 3.3 #2, 4. 3.4-CMT, fixed points.-Example 3, page 103,
Delaware - M - 349
Review for MIDTERM EXAM II(Tuesday -November 22).CHAPTER 3, Real Vector Space. Section: 3.8 -Rank of a matrix-Theorem 3.20 (page 210)- Rank Theorem (page 211)-Review problems: 3.8 # 13a, 17a, 26, 28, 29, 39. CHAPTER 4 INNER PRODUCT SPACE
Delaware - M - 426
UNIVERSITY OF DELAWARE Mathematical Sciences Department Math 426/Cisc 410 Introduction to Numerical Analysis and Algorithmic Computation, Fall 2008 Instructor: Dr. Richard J. Braun, Ewing 509, (302) 831-1869, braun@math.udel.edu, http:/www.math.udel.
Delaware - M - 810
UNIVERSITY OF DELAWARE Mathematical Sciences Department Math 810 Asymptotic and Perturbation Methods Spring 2009 Instructor: Dr. Richard J. Braun, Ewing 509, (302) 831-1869, braun@math.udel.edu Lecture times: MWF 2:30-3:20 in Willard 135. Office Hour
Delaware - M - 426
Math 426/CISC 410 08F, All sections R.J. Braun Homework 3 Solutions, Hints and AnswersProblem 1.1.1(c). The answer is P6 (x) = 1 + x2 x4 x6 + + . 2 24 720Problem 1.1.2(a). Note that log is denoting the natural log here. Then d[log(1 + x)]/dx = (1
Delaware - M - 426
Math 426/CISC 410 08F, All sections R.J. Braun Homework 2 SolutionProblem 1. The script and what it does in the command window are shown below. The plot is A shown in Figure 1; its not part of the L TEX le that I used to make this document. Note tha
Delaware - M - 426
Math 426/CISC 410 08F, All Sections R.J. Braun Homework 7 Solutions, Hints and AnswersProblem 3.2.1. Here we use the normal equation approach. AT A = 8 -6 -6 6 , AT b = -10 6 .Solving AT Ax = AT b gives x = [-2 - 1]T . 3.2.2. We can compute all th
Delaware - M - 426
Math 426/CISC 410 08F, All Sections R.J. Braun Homework 5 Solutions, Hints and AnswersProblem 2.4.1(d). Take limits. 1 n+ n = lim 1 + = 1; lim n n n n this implies that n + n n. Likewise, n+2 n 2 lim = lim 1 + = 1; n n n n this implies that n
Delaware - M - 426
Math 426/CISC 410 08F, All sections R.J. Braun Homework 4 Solutions, Hints and AnswersProblem 1.6.2. Note that log is denoting the natural log here. Here is one way to solve this problem. See the web page for a published version of this problem. % S
Delaware - M - 428
UNIVERSITY OF DELAWARE Mathematical Sciences Department Math 428/Cisc 411 Algorithmic &amp; Numerical Solution of Differential Equations Spring 2008 Honors Sections Instructor: Dr. Richard J. Braun, Ewing 509, (302) 831-1869, braun@math.udel.edu. Text:
Delaware - M - 426
Beginning Matlab ExercisesR. J. Braun Department of Mathematical Sciences University of Delaware Version of September 5, 20081IntroductionThis collection of exercises is intended to help you start learning Matlab. Matlab is a huge package with
Delaware - M - 426
University of Delaware Department of Mathematical Sciences Math 426/CISC 410 Intro to Numerical Analysis and Algorithmic Computing 08F R. J. Braun Your name: Project 3: SVD Image Compression In class, we used the SVD to compress an image. We treated
Delaware - M - 428
University of Delaware Department of Mathematical Sciences Math 428 Algorithmic and Numerical Solution of Differential Equations 08S R. J. Braun Project 2: FitzHugh-Nagumo Equations Due date: 5/1/08, 3:30 pm. YOUR NAME: In this project you will use M
Delaware - M - 426
Delaware - M - 428
Math 428 Numerical and Algorithmic Solution of Dierential Equations 08S R. J. Braun Department of Mathematical Sciences University of Delaware Honors Project 1. Due 4/17/08, 3:30pm. In this project you will reproduce some of the eorts to compute 10 d
Delaware - M - 428
UNIVERSITY OF DELAWARE Mathematical Sciences Department Math 428/Cisc 411 Algorithmic &amp; Numerical Solution of Differential Equations Spring 2008 Instructor: Dr. Richard J. Braun, Ewing 509, (302) 831-1869, braun@math.udel.edu. Text: &quot;Numerical Analys
Delaware - M - 426
Math 426/CISC 410 08F, All Sections R.J. Braun Homework 9 Solutions, Hints and AnswersProblem 4.3.1. The ratios below lead one to the hypothesis that = |1 /2 | where 1 is the smallest eigenvalue and 2 is the next largest. I used the absolute value
Delaware - M - 426
Math 426/CISC 410 08F, All Sections R.J. Braun Homework 6 Solutions, Hints and AnswersProblem 2.7.1. We assume that the relative change in b is eps; that is, |b|/|b| =eps. This script will do the job. % Script: Prob2_7_1.m % Problem 2.7.1: verify re
Delaware - M - 426
Math 426/CISC 410 08F, All Sections R.J. Braun Homework 10 Solutions, Hints and AnswersProblem 4.6.2. (a) Assume that A is n-by-n and nonsingular. The SVD is A = U SV ; here S is a diagonal matrix with the singular values on the diagonal, and U and
Delaware - M - 353
University of Delaware Department of Mathematical Sciences Math 353 Engineering Mathematics III 05F R. J. Braun Homework 12: Due Wednesday, 11/16/05, 2:30pm1. Read 9.1,9.2,9.3,9.5. 2. 9.2, Problems 9.2.2(ab). Do h = 0.2 by hand; you may (and are en
Delaware - M - 428
Math 428 Numerical and Algorithmic Solution of Dierential Equations 08S Project 4. Due Friday, 5/16/05, 4:30pm. R. J. Braun Your name: In this project you will examine the numerical solution of the boundary value problem u + eu = 0, u(0) = u(1) = 0,
Delaware - M - 353
University of Delaware Department of Mathematical Sciences Math 353 Engineering Mathematics III 05F R. J. Braun Your name: Due date: 11/30/05, 5pm. Project 2: Solving a Nonlinear ODE IVP In this project you will study the solution of a nonlinear seco
Delaware - M - 353
University of Delaware Department of Mathematical Sciences Math 353 Engineering Mathematics III 05F R. J. Braun Homework 8: Due Tuesday, 10/11/05, 4:00pm1. Read 3.3-5. Reading 3.1,2 is optional; do so if you're not sure about all this matrix-vector
Delaware - M - 353
University of Delaware Department of Mathematical Sciences Math 353 Engineering Mathematics III 05F R. J. Braun Homework 7: Due Monday, 10/3/05, 5:00pm 1. Read 2.2, 2.3, 2.4. 2. 2.2, Problems 2.2.3(a,d), 2.2.11. 3. Apply the method of bisection 3 tim
Delaware - M - 426
qriter_testThe approximation to the smallest eigenvalue:ans = -0.059675578871905 1.564191203698703 1.987691412628296 2.349297531449158 3.409078620563635 -1.263166795003825 0.386479838574264 0.760280531365414 0.8920698056836
Delaware - M - 426
type Hw1_07f.m% Script for Hw 1, 07f. % Problem 3; display the output for second part of 11.2 of the Beginning% Matlab Problemsg = [1 2 3 4; 5 6 7 8; 9 10 11 12]h = [3 3 4 4; 5 5 6 6; 7 7 8 8]h &gt;= gg = hbigger = (g &gt;= h)g(bigger)g([0 0 0
Delaware - M - 426
type TestESeq% Script TestESeq.m% try approximation for exp(1) approx = zeros(1,15);format short e;for k = 1:15 approx(k) = (1+10^(-k)^(10^k);endabserror = abs(exp(1)-approx)%% make a nice table, like that from the basic matlab problem
Delaware - MATH - 611
A=[2 1 1 0; 4 3 3 1; 8 7 9 5; 6 7 9 8 ][L,U] = lufact(A);LUL*U - Ab = [1;2;3;4]y = L\bx = U\yA\bA = [ 1e-12 1; 1 1A = [ 1e-12 1; 1 1 ]norm(A)cond(A)
Delaware - MATH - 611
t = linspace(0,2*pi,200);A=[1 3;4 2]/4;for i=1:200, v=A*[cos(t(i);sin(t(i)]; plot(v(1),v(2),'o'), hold on, endginput(1)norm(ans)norm(A)
Delaware - MATH - 611
A = magic(8)A=A+A';eig(A)lam = poweriter(A);plot(lam,'-o')plot(520-lam,'-o')shgsemilogy(abs(520-lam),'-o')shg[x,y]=ginput(2)diff(log(y) / diff(x)exp(ans)eigeig(A)(ans(end-1)/ans(end)^2eig(A)lam=inviter(A,160);plot(lam,'-o')shglam=i
Delaware - MATH - 611
edit lufactA=[2 1 1 0; 4 3 3 1; 8 7 9 5; 6 7 9 8 ]A([1 3],:) = A([3 1],:)L1=eye(4); L1(2:4,1) = -A(2:4,1)/A(1,1)format ratL1A = L1*AP1=eye(4); P1([1 3],:)=P1([3 1],:);P2=eye(4); P2([2 4],:)=P1([2 4],:);P2*AP2=eye(4); P2([2 4],:)=P1([4 2],:)
Delaware - MATH - 611
m=5;A = toeplitz([1;-ones(m-1,1)],[1 zeros(1,m-1)]); A(:,m)=1[L,U]=lu(A)m=50;A=[2 1 1 0; 4 3 3 1; 8 7 9 5; 6 7 9 8 ];A = toeplitz([1;-ones(m-1,1)],[1 zeros(1,m-1)]); A(:,m)=1;x = rand(50,1);b = A*x;[L,U]=lu(A);x1 = U\(L\b);norm(x-x1)/norm(x
Delaware - MATH - 611
A = magic(5)A = A(:,1:3)[Q,R] = gs(A)Q'*Qans-eye(3)Q*R - A[Q,R]=qr(A,0)[Q,R]=qr(A)N = 40;N = 400;x = linspace(-1,1,N+1)';A = [ x.^0 x.^1 x.^2 x.^3 x.^4 ];[Q,R]=qr(A,0);plot(x,Q)
Delaware - MATH - 611
% MATLAB introduction2+23^4exp(1)log(1)sin(pi/2)exp(1i*pi)sqrt(-4)xpiformat longpiepseps=1e-100pix = 2sin(x)x = x+1v = [ 1, 2, 3, 4 ]v = [ 1; 2; 3; 4 ]v'A = [ 1, 2, 3; 10, 20, 30 ]vB = [ v, v, v ]-3*v-v - 2*v4*BA = [ 1, 2,
Delaware - MATH - 611
Delaware - CIS - 361
The need for File SystemsNeed to store data and programs in files Must be able to store lots of data Must be nonvolatile and survive crashes and power outages Must allow multiple processes concurrent access Store on disks OS manages files in a file
Delaware - CIS - 361
Solaris Management Facility (SMF) - WorkshopGanesh Hiregoudar Renaud Manus OP/N1 RPE ApproachabilitySun MicrosystemsThanks! We would like to thanks the following engineers who participated in writing and delivering this SMF workshop. &gt; Jarod Nas
Delaware - CIS - 361
Memory ManagementOne of the most important OS jobs.Review memory hierarchy sizes, speed, costGrowing memories -&gt; growing programs need for swapping and paging The simplest way to use memory is to have one program in memory sharing it with the OS
Delaware - CIS - 361
ZFSNew filesystem and volume manager from Sun Open source after 5 years development First appeared in OpenSolaris, later in Solaris 10 6/06 (u2). Has been ported to FreeBSD. Also being including on Macs (Leopard*) Linux FUSE port Jeff Bonwick is a U
Delaware - CIS - 361
Process SynchronizationConsider two threads using and modifying a shared global variable. What problems could occur? Example: a bank account balance (a shared global variable) Balance \$200 A: Deposit \$10 B: Deposit \$10,000Process SynchronizationA
Delaware - CIS - 361
ThreadsTraditional processes have one thread of control sequential program. Multiple threads of control are possible to get parallelism. Processes - own resources (resource grouping) - are scheduled for running (have states (Running, Ready, Blocked
Delaware - CIS - 361
CPU SchedulingScheduling processes (or kernel-level threads) onto the cpu is one of the most important OS functions. The cpu is an expensive resource so utilize it well. May have more than 1. With multiprogramming will have many processes (threads)
Delaware - CIS - 361
Solaris Zones: Operating System Support for Consolidating Commercial WorkloadsDaniel Price and Andrew Tucker Sun Microsystems, Inc. ABSTRACTServer consolidation, which allows multiple workloads to run on the same system, has become increasingly im
Delaware - CIS - 361
DeadlocksLots of resources can only be used by one process at a time. Exclusive access is needed. Suppose process A needs R1 + R2 and B needs R1 + R2. A gets R1, B gets R2 A waits for R2, B waits for R1 A and B can't continue without second resource
Delaware - CIS - 361
Zones - ContainersServer Consolidation Run multiple workloads on system Improve utilization of resources Reduce costs Run workloads in isolation Cannot observe others Security Isolation Running apps as different user not enough - privilege escalatio
Delaware - CIS - 361
Dining PhilosophersFive philosophers sit around a table with five forks and spaghetti to eat. Philosophers think for a while and they want to eat, only spaghetti, for a while. To eat a philosopher requires two forks, one from the left and one from r
Delaware - CIS - 361
The ShellWhat does a shell do? - execute commands, programs - but how? For built in commands run some code to do the command For other commands find program executable and . run it. Other features: wildcards, pipes, redirection.ProcessesThe shell
Delaware - CIS - 361
Architecture BackgroundVon Neumann architecture - cpu = ALU + control unit - memory - devices Above connected with buses ALU carry out instruction, may have more than one execution unit Program counter memory address of next instruction to fetch.
Delaware - CIS - 361
Chapter 2 Process, Thread and Scheduling Soloris IPC1Outline Generic System V IPC Support Shared Memory System V Semaphores System V Message Queues POSIX IPC Signal Door2Generic System V IPC SupportModule TheCreationSystem V IPC
Delaware - CIS - 361
Chapter 2 Process, Thread and Scheduling - Scheduler Class and PriorityXIANG Yong xyong@tsinghua.edu.cnOutline Scheduling Class and Priority Dispatch Queues &amp; Dispatch Tables Thread Priorities &amp; Scheduling Turnstiles &amp; Priority Inheritance2
Delaware - CIS - 361
Operating Systems Update: Solaris, OpenSolaris, LinuxHarry J Foxwell, PhD OS AmbassadorSun Microsystems Federal, IncSolaris 10 Introduced in Jan 05, included:&gt; Containers: OS virtualization for isolation &gt; &gt; &gt; &gt; &gt;consolidation/utilization Obs
Delaware - CIS - 361
Name:UDel CISC361-010 Midterm, March 24, 2005Be sure that you read each question and understand what it is asking. No calculators permitted. 1. (10 pts) True/False (circle T for True, F for False) (a) T F - The C shell (csh) is derived from the Bo
Delaware - CIS - 361
Chapter 2 Process, thread, and scheduling - Solaris Multithreaded ProcessZhao Xia zhaoxia@os.pku.edu.cnOutline Introduction to Solaris Processes Multithreaded Process Model Proc tools2The Process ModelSolarisKernel is Multi-threadedK
Delaware - CIS - 361
Name:Show your work! Partial credit will be given, but only if you show your work!. Be sure that you read each question and understand what it is asking.UDel CISC361-010 Final, December 13, 20011. 10 pts True False a T F - Segmentation is just a
Delaware - CIS - 361
ZFSNew filesystem and volume manager from Sun Open source after 5 years development First appeared in OpenSolaris, later in Solaris 10 6/06 (u2). Has been ported to FreeBSD. Also being including on Macs in the works (Leopard*) Linux FUSE port Jeff B
Delaware - CIS - 361
UDel CISC361Study Operating System principles - processes, threads - scheduling - mutual exclusion - synchronization - deadlocks - memory management - file systems - security - networking (if time allows)Operating SystemsUse of Solaris - advanced