MAT022A-001 Homepage (Fall 2000, CRN 58370)

MAT22A, Linear Algebra, offers an introduction to elementary linear algebra, a discipline which is an essential tool virtually everywhere where mathematics is applied in the natural sciences, engineering (including signal and image processing, and computer graphics), in mathematical modeling in disciplines such as economics, and also in other branches of mathematics itself. Its importance can hardly be overstated. For most of you this course will also be a first encounter with abstract mathematical structures and an exploration of the power of mathematical abstraction. We will go further than the abstract notions though, and use the software package Matlab to explore linear algebra in a variety of applications. This course is challenging, but I hope it will be a rewarding experience.

IMPORTANT: READ THIS!!! General information and course organization can be found here, and the syllabus (list of topics) is there. Most "handouts" for the course will be available as PDF files on the this webpage (and not actually be handed out in class). Make sure you can read and print PDF files. Download the Adobe Acrobat Viewer if do not already have this on your system (it's free). You will also need to use the Matlab sofware package to do some of the homework problems. You can get an account on the computer system of the Department of Mathematics by signing up here. If you don't know Matlab or not well enough to do the Matlab homework assignments without assistance, you should take the 1 unit web-based course MAT22AL. Students who have taken ENG6 may not need it, but for all other students MAT22AL is strongly recommended.

Announcements

Most announcements will be made by e-mail and recorded in the Messages Logbook at http://ir.ucdavis.edu/class/200010/mat22a1-f00.

Additional Lecture Notes

Some weeks there will additional lecture notes that complement the book. These will be posted here.
Lecture notes on LU decomposition in Postscript or PDF format.
Lecture notes on Permutations in Postscript or PDF format.

Homework Assignments:

Homework is due at the beginning of class on the due date, usually a Monday. The numbers refer to the section and exercise numbers in the text. The numbers preceded by ML have to be done using Matlab and you should provide a printput showing the commands you used and answers returned by Matlab to those commands. Corrected homework will be returned by the Lech during his office hour. You may use the diary command as explained under Course Information on the MAT22AL page. The other problems are intended to be done with pencil and paper only. They are good practice for the midterm and final exams, which will be pencil and paper only as well.

Assignment 1, due Monday, October 8: Solutions in Postscript or PDF format.
1.1 # 1, 4, 5, 9, 15, 20, T3, T4
1.2 # 1, 2, ML1
1.3 # 1, 3, 4, 6, 7, 8, 9, 20, 21, 24, T1-7, T10, ML1, ML3, ML4
3.1 # 1, 6, 10, 20, 24, 26, T8, ML2
3.2 # 3, 24, T6, T8-10, ML1, ML4, ML8
3.3 # 4-10, T4, T8

Assignment 2, due Monday, October 15: Solutions in Postscript or PDF format.
4.1 # 3, 4, 7, 9, 12, 14, 16, 19, T1-6
1.4 # 2, 3, 4, 6, 7, 8abe, 15, 16, T4-7, T10, ML4, ML5, ML7
1.5 # 1, 7, 8, 10, 11, 12, 16, 20, 24, ML2, ML4, ML6, ML8, ML12
1.5 # T4, T5, T8, T12, T13

Assignment 3, due Monday, October 22: Solutions in Postscript or PDF format.
9.3 # ML1, ML2, ML3, ML4
1.6 # 1, 4, 6, 10, 11, 14, 16, 18, 19, 20, 24, 25, 26, T4, T5, T7, T8, T9, ML2, ML3, ML4, ML5
2.1 # 2, 5ab, 6ab, 8, 11, 16, 20, 21, T10, T12, T15

Assignment 4, due Monday, October 29: Solutions in Postscript or PDF format.
2.1 # ML2, ML3, ML4
2.2 # 1, 6, 8, 10, 17a, 18a, T6, T8, T10, T11, ML1, ML2, ML4, ML5
4.2 # 4, 6, 12, 19, 20, 22, T8, T10, ML2, ML3, ML6

Assignment 5, due Monday, November 6:
4.3 # 1, 2, 6, 8, T2, T4, T10, T12, ML1, ML2
4.4 # 2, 6, 14, 16, 22, T1, T2, T6, T9, T10, ML1, ML2, ML4, ML5, ML9

Assignment 6, due Wednesday, November 15:
4.6 # 1, 2, 3, 4, 9, 11, 12 ,14, 19, 20, 24, T4, T5, T6, T8, T9, T10, T12, ML2, ML4, ML5
6.2 # 2, 4, 8, 10, 12, 14, T6, T8, T10, ML2, ML3
4.7 # 1, 2, 3, 4, 13, 14, 20, 24, T4, T5, T6, ML2, ML4, ML6, ML7

Quizes and Exams

Quiz 0 + Solutions in PDF format.
Quiz 1 + Solutions in PDF format.
Quiz 2 + Solutions in PDF format. Alternative Solution for Quiz 2 in PDF format.

Grades

Please verify your grades for Quizzes 1 and 2. You are listed by the five last digits of your ID number.

Office Hours:

Bruno Nachtergaele (669 Kerr): Mon 11-12am, Tue 9-10am, Thu 3-4pm.
TA: Lech Wolowski (474 Kerr): Wed & Fri 11am-12noon.

Instructor:

Bruno Nachtergaele, Department of Mathematics, 669 Kerr Hall.
E-mail: bxn@math.ucdavis.edu. E-mail is my preferred medium for messages. Please, use the phone numbers below only for emergencies.
Phone:    + (530) 750-1962 (home)
                + (530) 752-8061 (office)
                + (530) 752-6635 (fax)
Homepage: http://www.math.ucdavis.edu/~bxn/