Numerical Analysis (MAT 2011 and CSC 5815) <- Courses <- Sean Forman <- You Are Here
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Spring 2002
Syllabus in HTML format
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This area contains information regarding the course.
Class this weekWe are completing our coursework this week.
Remember that the final is in the normal room from 6-8pm on Monday. I have a review sheet for you and will be around Thursday and Friday to answer any questions you might have.
We are finishing up multi-step methods including Adams-Bashforth and Adams-Moulton.
posted 3:15 PM
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Class TonightOnly three left!
I will complete the discussion of Euler's method and introduce Taylor's and the Runge-Kutta Method.
I will also hand out the last assignment which will be due on Wednesday the last day of class.
Remember the final exam is a week from Monday at 6-8 in the normal room. I will be gone and Mr. Tom Foley will be proctoring the exam. So if you have any questions you will need to ask them by next Friday.
I will have a review sheet for you next Monday.
posted 5:56 PM
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Class TonightWe will finish up section 8.8 and that will be the last section in chapter 8 and then we will go onto introduce differential equations and chapter 9. Our main concern there is going to be the Euler and Runge-Kutta methods.
posted 4:51 PM
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Class YesterdayYesterday, we finished up the section on Least Squares problems (8.6) and began working on iterative methods (8.8). You will not need to do any work on 8.7. It will not be covered. There was also a problem assignment that was due and I don't think I got assignments from everyone I should have.
Next time, I will hand out our second-to-last assignment. I think we need two more to guarantee that you follow the material from chapter 9 that will be on the exam.
We will start chapter 9 as well.
posted 1:55 PM
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Class todayWe will discuss the stability of the solutions of linear equations. Condition Numbers and stability.
We will then move on and discuss the least squares problem.
Next time we should cover iteration techniques.
posted 3:22 PM
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Class TodayWe will discuss LU factorization today and will probably begin on error as well.
I am going to hand out a homework assignment to day as well.
posted 5:43 PM
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Class yesterdayWe went blow-by-blow through Gaussian Elimination including partial pivoting and operation counts.
We will do LU factorization next time and start on error computation for these problems. I will also hand out a new homework assignment on Monday, and hand back your last one as well.
The final is currently scheduled for Monday, May 6, 6-8pm in BL 225. It is a possibility that it could change.
posted 4:08 PM
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Class this weekYesterday, we covered chapter 6. We will begin the section on Integration on Wednesday. I will also have a homework assignment for you on Wednesday.
posted 2:07 PM
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Maple Worksheets
posted 9:39 AM
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Maple worksheetsThis is a directory of maple worksheets, that I am using for this class at times and some that I used last year and for other courses. You will need one of these as a guide for your assignment due next week.
posted 5:26 PM
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Class YesterdayRemember that homework is due next Monday.
We finished talking about the Newton's method and came up with a formula for determining when to terminate.
We then discussed the Secant method which has a slightly lower order of convergence than Newton's method, but needs one less function eval (and doesn't need the derivative at all) at each step.
Next, we discussed fixed point techniques and determined a theorem that showed why some methods will converge and some won't. It also showed that we can determine the cases in which we will get a linear convergence rate and when we might do better.
Next time we will finish chapter four, with Aitken's Extrapolation and some other issues with rootfinding. I'm guessing we will also get a little bit into chapter 5.
We will be having a midterm sometime before spring break. Maybe right before on the 3rd or 6th.
posted 4:11 PM
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Assignment #1The first assignment is also available online if you lose your homework sheet. We finished chapter 2 today. We discussed the advantages of rounding over chopping, and the machine architecture used to store floating point numbers. And how we can calculate what the largest and smallest values possible given a certain scheme.
We will go onto chapter 3 next time, so you should begin reading chapter three. I expect to spend all of next week on this chapter.
posted 7:12 PM
IEEE Standard 754 Floating-PointWe are going to discuss floating point numbers in class today. The standard on this page is the standard for most current digital computers.
posted 11:17 AM
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Class TodayToday, we finished Chapter 1 discussing error terms for Taylor polynomials and then nested multiplication. We started on Chapter 2 with quick discussion of binary digits, converting between the decimal and binary and then some effects of our use of binary numbers in for loops.
Next time we should come close to finishing chapter 2.
posted 7:17 PM
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Class TodayWent over syllabus and the like. Then introduced Taylor Polynomials. You should read chapter one for next time as we will be complete chapter one in the next class period.
posted 7:22 PM
Course SyllabusCourse syllabus is now on-line. We will discuss this is class tonight.
posted 2:33 PM
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