For Toni Yungai: download the 2 files from the following links

2270, Fall 2004.

You can find the syllabus here: in postscript format and in pdf format.
You can find the grading scale here: in postscript format and in pdf format.

Announcements:

Office hours

Mondays: 2:00pm-3:00pm
Wednesdays: 3:00pm-4:00pm

Appointments can be made (send me an email), I will prefer to meet you on Mondays, Tuesdays or Wednesdays.

Exams

First midterm will be held Monday 10/04. Program: Chapter 1, Chapter 2, Chapter 3: sections 1 and 2 (in those sections I will only test you on kernels and images of linear maps, and on linear subspaces, no linear independance, no bases). Moreover you will be allowed to bring one sheet of notes.

Second midterm will be held Wednesday 11/17. Program: until chapter 5, section 2 (Only Gram-Scmidt process, no QR-factorization). This exam will last 1h30mn.

Moreover you will be allowed to bring one sheet of notes.

Homework

Assignements: (the exercises in bold will be graded, you can turn those only if you want)

1. Due Friday 09/03 postponed to Wednesday 09/08 (last time to turn it in is in class, if you want to turn it in before just knock on my door or slide it under the door). Solutions here in postscript format and in pdf format.
• In 1.2: 18, 20, 34, 41;
• In 1.3: 1, 2, 3, 4, 13, 22, 23, 33, 35, 47, 48, 49, 50.
2. Due Wednesday 08/15: Solutions here in postscript format and in pdf format.
• In 2.1: 2, 3, 5, 13, 14, 15;
• In 2.2: 4, 6, 7, 15, 17, 18, 24, 33, 47.
3. Due Wednesday 09/22: Solutions here in postscript format and in pdf format.
• In 2.3: 34, 36, 40, 43, 51, 53;
• In 2.4: 41, 45, 50, 51, 52, 53, 84, 86.
4. Due Wednesday 10/13: Solutions here in postscript format and in pdf format.
• In 3.1: 1-7, 8,9, 10-13, 14, 15, 16, 34, 50, 51;
  
• In 3.2: 1-3, 6, 26, 36-38, 39.
5. Due Wednesday 10/20: Solutions here in postscript format and in pdf format.
• In 3.3: 10, 14, 16, 28;
  
• In 3.4: 7,9, 21, 23 (for those last 2, just do 2 different methods, not 3 as asked in the book).
6. Due Monday 11/1: Solutions here in postscript format and in pdf format.
• In 4.1: 5, 8 (you can prove that those are subspaces of some known vector spaces), 58;
  
• In 4.2:53, 63, 73, 74, 76.
7. Due Wednesday 11/10: (underlined exercises are extra credit, you do not have to turn then in). Click here for the solutions (those are images, I hope you can read my handwriting).
1. In 4.3: 2,3,4,32,33, 59.
   
2. In 5.1:15, 17, 27, 35.
8. Due Wednesday 12/01, now Friday 12/3: (underlined exercises are extra credit, you do not have to turn then in)
1. in 5.2: 5, 32;
2. in 5.3: 3,17 (prove your claim),35,40,55,60.
   

Maple section (grab projects and other work sheets here):

Here you can find the introduction work sheet for Monday 11/01 lab session.
Here you can find the introduction work sheet to the project (here in  html format if you just want be able to read through it), and the project work sheet (here in  html format if you just want be able to read through it).
To complete your project, just use the introduction work sheet as a template, and modify what is necessary.
You can turn in the maple project until the last day of class in December, and you can either turn it in just by sending the file in attachment at allaud@math.utah.edu (if you choose to do that, please give this file a name made up from your lastname and the first letter of your first name, example, I would have a file name allaude.mw) or on paper.
You can find a tutorial about linear algebra with Maple (though Maple help is also a great way to learn it): here as a maple work sheet, here in pdf format.

Practice exams (here I will put everything I think is relevant to prepare you for the exams)

The final is comprehensive it includes all chapters from 1 to 7 (up to section 7.4);  there will be an emphasis on the last part of the lectures though. The following are excluded:

• QR factorization (in 5.3);
• Data fitting (in 5.4);
  
• Fourier analysis (in 5.5);
  
• section 3 in chapter 6 (geometric interpretation of determinants);
• Dynamical systems (in 7.1).
  

• 3.1: 1-37; 3.2: 1-34, 36,37, 42-48, 50-56; 3.3: 1-25, 27-38, 44, 47, 56, 57, 60; 3.4: 1-47,53-61,69-72.
• 4.1: 1-40, 47-49; 4.2: 1-64,67,70-74; 4.3: 1-58, 60-64.
• 5.1: 15-18, 21-22; 5.2: 1-14, 29, 31-35; 5.3: 1-27, 32-35, 37, 40-42; 5.4: 3-7, 16, 19; 5.5: 3-4, 8, 9, 10, 20, 22.
• 6.1: 1-30.
• 7.1: 1-19, 21, 23, 34, 36, 38, 39, 43, 46, 47; 7.2: 1-17; 7.3: 1-23, 27, 31, 32, 35, 36, 37, 38; 7.4: 1-30, 39-52, 58, 59, 60, 62, 63.
  

Grades