MA-305 Elementary Linear Algebra Spring 2004 Harrelson 201, Tue&Thu 14h35-15h50 The map L(s,t) = (s-t, s+t-1/2) as plotted by Maple (see below).

Syllabus

People

Maple

Exams

Homeworks

File Formats

Resources

Current Announcements NEW The sorted grades for the course (UPDATED May 13, 2004, 4:55pm). The sorted grades for the final exam. The sorted grades for the homeworks. Old Announcements see below.

Old Announcements

• You can take this course either by coming to class or over the Internet. No distinction is made when you register for the class. If you are registered for another class at the same time, please see Carolyn Gunton in Harrelson Hall Rm 254 [(919)515-2270] and she will register you. There may be a conflict with the final exam, and you will be able to take a make-up final in this MA305 course.

  There will be no audio-track of my lectures or scanned images of my transparencies that I write during class. However, I will try to follow the syllabus of Spring 2002, so that if you listen to the Spring 2002 audio and read the transparencies, you may be able to do this year's homeworks and exams. Your homeworks can be submitted by email through the Internet. However, you must be physically present during the three examinations.

  For a sample lecture, see the lectures in the syllabus of my Spring 2002 course.

• Since the exams are taking place in HA 201, we can only register the capacity of that room, 100 students, in this class. If you are wait-listed, an option is to wait and see if students are dropping the class after the semester starts. Then you get their slots (in which order I don't exactly know).
• I will be out-of-town for the week (Feb 1-Feb 6). My office hours are then cancelled.
• The Spring 2003 course web home page gives information on average grades.
• The first exam is on Thursday, Feb 12, during class. You can bring an 8.5in by 11in sheet of paper with notes on both sides and your calculator.
• Homework 1 is due Thursday, Feb 12, 11:59pm. Note that the accepted file formats are ASCII, Maple worksheet, html, postscript and pdf. If you scan in your handwritten pages, please convert them to pdf and keep the files under 1MB.
• The first homework is posted (see below), due Feb 12, 11:59pm. It is worth 10% of the course grade and will be graded.
• If you have lost points on Problem 3 of the exam by omitting the dimension "3" in the E_*(...) expressions, you can regain all your points. I now remember even having said during class that the dimension can be omitted. For Problem 2b, you can ask for a regrade but you may not regain lost points.
• The sorted grades for the first exam.
• Approximate grade cuts are now in the updated exam grades (after corrections).
• Homework 2 is posted. It is again worth 10% of the course grade.
  Kenneth prefers submission in paper. There will be no electronic submission. Please hand in the homework during class on Thursday, March 18, or place it in my mailbox in HA 245 before that deadline.
• The solution to homework 2 is posted below.
• The second mid-semester examination is on coming Thursday, March 25. You can bring two 8.5in by 11in sheets of paper with notes on both sides and your calculator.
• The sorted grades of the second exam with approximate grade cut points.
• We now have both an exam and a homework grader. Therefore the grade computation is as on the syllabus: Homeworks: 40%; Midterms: 17.5% for each; Final: 25%.
• I have posted the Maple worksheet shown in class today (Tue Apr 13) on the syllabus. I have also added the computation of the 2-dimensional model with the method taught in class (normal equations).
• I have posted both Maple worksheets shown in class today (Tue Apr 6) on the syllabus.
• Homework 3 is posted. It is again worth 10% of the course grade. Please hand in the homework during class on Thursday, April 15, or place it in my mailbox in HA 245 before that deadline.
• The worksheets for computing the QR factorization done in lecture 26: gs.mws (25.txt).
• Homework 4 is posted. It is again worth 10% of the course grade.
• I have posted the Maple worksheet shown in class today (Thurs Apr 15) on the syllabus. The worksheet also shows the closest vector in terms of infinity norm.
• Bart Jennings has sent me the following interesting URL for applications of linear algebra to cryptography. The method is a simple one-time-pad private key system based on matrix inversion. The method is not secure against chosen cypher attack: prove that being allowed to encrypt your own text with the system (during the "lunch time"), you can reconstruct the secret private key, namely the matrix used.
  Other applications of linear algebra are the Goldreich-Goldwasser-Halevi public key crypto systems (you can google it), but that system also has its weaknesses.
• I have corrected a typo in problem 1c of the final exam in Spring 2003. The image domain of the inner product function is R, not R_≥0.
• The final exam is on Thursday, May 6, from 1pm-3pm. You are allowed to bring THREE 8.5in by 11in sheets of notes, 6 pages in total and your calculators.
• A bonus homework has been posted below. The homework is to be submitted as an ASCII text file via wolfware.
• My office hours.

©1997; 2000 Erich Kaltofen. Permission to use provided that copyright notice is not removed.