Mth 351 Numerical Analysis |
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Term: Fall 2005
Time: MWF 1300-1350
Location: BAT 250
There are numerous small changes from earlier editions in the third edition of the text. In addition all of the sample code is presented in Matlab rather than Fortran. If you want to save a few bucks, you could probably get by with one of the earlier editions, though you may have to do some extra work.
Pre-requisite: Mth 253 or Mth 306, and some programming experience.
The Matlab code for the text, and other material, is available at
Matlab and Maple are of course available in many computer labs on campus.
My preference is to use Maple rather than Matlab and I may do so at least part of the time, though I may wish to play a bit with Octave.
We will cover the following sections in the text (in part)
It is unlikely that we will cover all of the sections listed above in detail, if at all. You should keep up to date and keep track of where we are in the text. You should attempt most of the problems in each section that we cover whether you are asked to turn them in, or not.
Our tests will be multiple-choice and will require you to fill-in accurately a scantron (which I will provide).
Because many calculators are capable of solving equations you should expect that test problems may be a little bit indirect, at least in some cases, and require a modicum of thought.
Calculators may not be shared during tests.
Mth 351 is not a programming course, but some of the assignments may require a bit of programming. If I ask you to do any programming assignments you may use whatever language that you find comfortable and that gets the job done - C/C++, Fortran, Basic, Java, Pascal, Maple, Matlab, Octave, Euler, Mathematica, MathCad, Spreadsheet - whatever you like. My favorites are Maple and C and my sample code will probably be mostly in Maple, Matlab or C.
While some programming experience is a pre-requisite for this course, you should be able to get by with very little. You will not be required to produce anything but the simplest code. In many cases I, or the text, will even provide you with the needed code, which you need only understand well enough to implement - but you will have more fun if you write your own code.
I will not debug your code, nor will I provide much, if any, programming instruction, but I will provide examples.
Maple: See Maple.
Matlab: Matlab, matrix laboratory, is used to obtain numerical solutions to mathematical problems. Its primary (really only) data type is the array and it is its ability to manipulate arrays directly that gives it most of its power. You may find the brief description of a small part of Matlab in Mth 355 Matlab Introduction useful.
Octave: GNU Octave is a high-level interactive numerical computation language which to a large extent is compatible with Matlab. The command line switch "--traditional" improves the compatibilty. Octave runs on Unix-like systems (in particular, on Linux). You can download Octave from
Notes: Professor Robert Higdon, OSU Mathematics Department, has written some very nice notes on using MatLab and Maple and has kindly consented to my posting them here. These are PDF files. You will need Acrobat Reader or other suitable software to read or to print the notes.
I may answer email queries about grades as time permits. Please read the document Grade Information before requesting grade information by email.
The following grade calculation will be used:
Note there is no penalty for missing one of tests 1 and 2. No makeup tests will be available.
Do not turn in any homework unless it is explicitly requested below.
| Section | Page | Problems |
| 1.1 | 9 | 2 5 6 10 12 14 |
| 1.2 | 18 | 1 2 9 13 14 18 |
| 1.3 | 30 | 6 9 10 |
| 5.4 | 241 | 1 3 10 |
| 2.1 | 41 | . |
| 2.2 | 53 | 1 5 6 7 8 9 10 13 18 |
| 3.1 | 77 | 1(a) 2 10 |
| 3.2 | 88 | 3 6 10 11 |
| 3.3 | 96 | 1(a) 3 (8 optional) |
| 3.4 | 106 | . |
| 4.1 | 131 | 1 7 8 12 13 15 16 17 21 23 24 28 31 |
| 4.2 | 143 | 1 2 4 5 8 9 10 12 |
| 4.3 | 156 | 1 2 3 10 11 12 13 14 15 16 |
| 4.5 | 169 | . |
| 4.6 | 177 | . |
| 7.1 | 330 | 1 2 3 6 10 11 12 |
| 5.1 | 200 | 1 2 3 4 5 10 11 12 13 14 15 16 |
| 5.2 | 215 | 1 5 6 |
| 5.3 | 229 | 2 6 8 9 10 11 |
| 7.3 | 364 | 2 3 7 8 |
| 6.4 | 292 | 5 6 9 |
| 6.6 | 314 | 1 2 3 4 5 7 9 (in part) |
| Problem | Answer | Number Correct |
| 1 | C/B | 15 |
| 2 | B | 6 |
| 3 | B | 12 |
| 4 | A | 13 |
| 5 | D | 10 |
| 6 | C | 13 |
| 7 | B | 16 |
| 8 | D | 14 |
Scores ( 19 papers )
| Score | Frequency | |
| 96 | . | 0 |
| 84 | XXXXXX | 6 |
| 72 | XXXXX | 5 |
| 60 | XX | 2 |
| 48 | XX | 2 |
| 36 | XX | 2 |
| 24 | X | 1 |
| 12 | X | 1 |
| 0 | . | 0 |
| Problem | Answer | Number Correct |
| 1 | B | 2 |
| 2 | C | 6 |
| 3 | E | 6 |
| 4 | A | 12 |
| 5 | D | 14 |
| 6 | C | 11 |
| 7 | B | 6 |
| 8 | C | 1 |
Scores ( 20 papers )
| Score | Frequency | |
| 96 | . | 0 |
| 84 | . | 0 |
| 72 | . | 0 |
| 60 | XXX | 3 |
| 48 | XXX | 3 |
| 36 | XXXXX | 5 |
| 24 | XXXXXXX | 7 |
| 12 | XX | 2 |
| 0 | . | 0 |
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