Announcements

Announcements

You are expected to check for new announcements every day.

Dated announcements are periodically moved to the archives.

May 20. Here are the final exam solutions.

May 7. Check here for study week office hours. There will be a review session 3-4:30 on Friday, May 14. Upson 109.

May 7. If you do not fill out a course evaluation form, then 5 points will be deducted from your final exam score.

May 7 If you visit last year's announcement page for the course you can find review questions with solutions and a copy of the final exam with solutions. In looking over these materials, remember that topics and assignments change from term to term.

April 30. No class on Friday May 7. But there will be office hours 9-12 on that day and you are expected to come by and outline your course project plans.

April 23. P1 is a 2-parameter LSQNONLIN prob. Hint: mininimizing || A(alpha)c - L || where c and alpha are vectors is the same as minimizing || A(alpha)*(A(alpha)\L) - L || with respect to alpha and setting c = A(alpha_opt)\L.

April 23 These simulations might help you reason about problem P2.

April 23 The project assignment is available. Due on the day of the final exam: May 18.

April 21 Here is a fact sheet on using fsolve.

April 21 You may solve P3 any way you want. Using fSolve is not required

Apr 2. More on P2. As you proceed to develop your solution to P2 using the s-function, don't worry about "probability zero" events. For example, if s(L) = 3 and s(R) = 4, then it is OK toassume that [L,R] houses just lambda(4) even though the theory says that it could house both lambda(3) and lamda(4). (If L = lambda(3), a prob zero event., then [L,R] would contain both lambda(3) and lambda(4).) We are not try to develop "production software" so ignoring these remote circumstances is OK.

Apr 2 Page 17 of the ellipse slide talk had a slight problem. it has been corrected. (This is important for P3.)

Apr 2 Comment/hint/details regarding P2 on Assignment 5. Assume that T(a,c) is nonsingular. Order the eigenvalues

lambda(1) < lambda(2) < ... < lambda(n).

The first thing you need to implement is the function s and the function p for evaluating p_{n}(mu).

Now suppose k = s(0). This means that

lambda(k) < 0 < lambda(k+1).

Develop a bisection-type code for computing L so that [L,0] houses only one eigenvalue: lambda(k). As soon as you have this use fzero to get lambda(k).

Then develop a bisection-type code for computing R so that [0,R] houses only one eigenvalue: lambda(k+1). As soon as you have this use fzero to get lambda(k+1). Return the smaller of these two eigenvalues.

It is important to "switch" to fzero as soon as possible. You could use bisection "all the way" but it would be inefficient.

To facilitate grading, include print lines in your LambdaSmall implementation that display out the bracketing interval that you are handing off to fzero. E.g.

fprintf('\n Left = %10.3f Right = %10.3f\n',Left,Right) ; fzero( blah,[Left,Right])

Mar 29 Final Exam: May 18, 9:00-11:30, Malott 406

Mar 13 Assignment 4 is available. Note that hints have been posted. Also, if you downloaded some of the scripts yesterday, do it again because they have been slightly changed. Finally, after assessing the volume of work, you only have to do 3 of the 4 problems. However, you will be responsible for understanding the solutions to all four problems.

Mar 12. Prelim solutions.

Mar 9. A4 will be handed out this Friday. Its due date is extended to Friday March 19.

Mar 4. PRELIM REVIEW. The Mar 8 lecture will be a prelim review. In advance, you should (a) check out the "review problems" in Chapters 1, 2, and 3 in Heath, (b) go over the problems-of-the-day through February 26, (c) work sample prelims from past: 2008, 2009, and (d) study the solution scripts associated with assignments A1, A2, and A3.

Feb 26 Extra Office hours on Monday. We have an in class prelim Wednesday Mar 10. You will be given a review sheet next week. We will use the Monday (Mar 8) lecture for review.

Feb 19. Put on your stolen 3D Avatar specs and check out this late 70's photo: CVL + Givens.

Feb 19. Assignment 3 is available.

Feb 16. Typo in A2 write-up problem P4. Eight lines up from the bottom of page 3, "Thus, (Q - I)f = 0.... " not "(P - I)f = 0."

Feb 8. Solutions to assignment A1 are available. If your score is <=13/20, it would be a good idea to swing by and discuss your submission.

Feb 5. Each chapter in the text ends with a set of short-answer review questions. Although we are not yet done with Chapters 1 and 2, it is a good idea to look at all the review questions in those chapters.

Jan 29. Assignment 1 is available.