Math 2270 - Linear Algebra

• December 12th - The final exam, assignment 14, and computer lab 5 are all graded, and the grades are posted on canvas. The solutions for all three are posted below. Also, final grades have been calculated, and are posted on canvas. The statistics for the final exam, and the final grades, are posted above. I will be in my office on Wednesday, December 12th from 2:00 PM to 4:00 PM, and on Thursday, December 13th and Friday, December 14th from 10:00 AM to 12:00 noon. If you'd like to pick up your final exam, or anything else, or would like to talk with me about your final grade, please come by during these times. I'll be posting the final grades to the university system on Friday afternoon. I'll also be tossing out anything people have not yet picked up with the exception of the final exam. The final exam I'll be leaving with the main office.


• December 8th - The review session for the final was yesterday. Posted above is an outline of the material we've covered in the class, and that you should know for the final.


• December 6th - Mea culpa. On the practice final problem 1c) asks if the matrix is positive-definite. On the original solutions, I said yes, as all the pivots are positive. But, a positive-definite matrix must be symmetric, and A is not, so the answer should be no. This has been corrected in the practice final solutions now posted on the class website. Sorry.


• December 5th - The lectures notes with examples for lecture 40, our last lecture, are now posted below. Also posted below are the solutions to the practice final, and the solutions to assignment 14. These are the last things that will be posted to the website until after the final. On the day of the final computer lab 5, and assignment 14 (an extra credit assignment that you can choose if you want to do) are due, and solutions for these will be posted that evening. Please note we will be having a review at 6:00 PM in LCB 225. This is the same building where we have the computer labs. See you then!


• December 3rd - The lecture notes for lecture 40, our last lecture, are posted below. Also, assignment 12 has been graded, and the grades are posted on canvas. I'll be handing back assignment 12 in class tomorrow.


• December 2nd - The practice final exam is posted below. Also, instead of breaking the lecture for section 8.2 into two lectures as originally planned, I have expanded the lecture notes for lecture 39 below. So, tomorrow in class we'll still be using the notes for lecture 39, but they've been expanded. The expanded notes are posted below.


• November 28th - The lectures notes for lecture 39 are posted below, along with computer lab 5.


• November 26th - The lecture notes for lecture 38 are posted below, along with the lectures notes with examples for lecture 37. Assignment 13 is posted below, and it is due on December 3rd. Also posted are the solutions for assignment 12, and the instructor writeup for computer lab 4.


• November 25th - The lectures notes for lecture 37 is posted below, along with the fourth exam and the solutions to the fourth exam. The fourth exam has been graded, and the grades are posted on canvas. The average on the exam was 74.03, the median was 74, and the standard deviation was 17.36. Hope everybody had a nice Thanksgiving break. I'll see you all in class tomorrow.


• November 16th - The lectures notes with examples for lectures 34 through 36 are now posted below. Also, please be aware that assignment 12, particularly the section on singular value decompositions, is probably the most involved and difficult assignment we've had so far. You should start it before Tuesday night!


• November 15th - The fourth practice exam is now posted below, as are the solutions to assignment 11. The solutions to the fourth practice exam will be posted on Monday, November 19th.


• November 13th - Lecture notes up to tomorrow lecture, lecture 36, are now posted below. Assignment 10 has been graded, and the grades are now posted on canvas. Also, assignment 12 is posted below. It will be due next weed on WEDNESDAY (not Monday), November 21st.


• November 7th - Sorry it's been so long since I posted an announcement. First, my backpack was stolen, and in it were all the computer lab 3 writeups you all handed in. So, I've given everybody in the class a 10/10 on computer lab 3. Assignment 9 has been graded, and all those grades are posted online. The assignment was handed back in class yesterday. Exam 3 should be graded tomorrow evening, and will be handed back in class on Friday. The solutions for assignment 10 have been posted. All the lecture notes up to today's lecture 32 on section 6.4 are posted below, with and without examples. Finally, on the lecture notes for lecture 32, as well as on the assignment 11 pdf file and the assignment posted on this website I made a typo and referred to section 6.3 when I should have referred to section 6.4. We are skipping section 6.4. I've corrected all these typos now, but please be aware that any time you see exercises from section 6.3, I mean section 6.4. Finally, on the assignment 11 pdf file I posted on Tuesday there was a typo on exercise 6.4.14. The (2,3) term of the matrix should be -1, not 1. The mistake has been corrected, but if you downloaded and printed out the assignment 11 .pdf before tonight please be aware it has a typo.


• October 26th - I will be out of town all of next week, and so the class will be taught by substitutes each day. There will still be class at the usual time in our usual classroom. All the lecture notes for next week are posted below. Also, next Friday, November 2nd is exam 3. There is a practice exam for exam 3 posted below. There will be a review session (hosted by a substitute) in class on October 31st when you'll go over the practice exam. The practice exam solutions will be posted on that date. Assignment 10 for next week is now posted below. Finally, assignment 8 has been graded, and your grades are available on canvas, linked to above. Everybody have a nice week! I'll see you when I get back. I will be reachable by email the whole week. Also, I'm looking for another instructor to hold office hours for me while I'm gone. I'll keep you posted on that.


• October 22nd - Today we had our first of two lectures on orthonormal bases and the Gram-Schmidt method. The lecture notes for today's lecture, with examples, are posted below, along with the lecture notes for tomorrow's lecture, lecture 25. Assignment 9 is now posted below. It is due on Monday, October 29th. Note that a few of the problems on section 4.3 ask specifically about the figure 4.9. Please ignore those parts of the problems, as the figure is not on the assignment handout.


• October 19th - Today was our third computer lab. If you didn't hand it in at the end of class today, please remember it's due on Friday, October 26th. The lecture notes for next Monday, lecture 24, are now posted below. Also, assignment 7 has been graded, and the grades are posted on canvas. Have a nice weekend.


• October 16th - The lecture notes with examples for lecture 22 are posted below, along with the lecture notes for lecture 23. The third computer project description is not posted below, but will be posted tomorrow. Sorry.


• October 15th - The lectures notes with examples for lecture 21 are posted below, along with the lecture notes for lecture 22. Assignment 8 is also posted below, and it is due on October 22nd.


• October 14th - Assignment 6 has been graded, and the grades are now posted on canvas. Assignment 6 will be handed back in class tomorrow. I'll see you all then. Hope you had a great fall break!


• October 9th - The second exam was on Friday, October 5th. My birthday! Most of you did very well on the exam, so thank you for the wonderful birthday present! The exams are all graded, and the grades are posted on canvas. The test was graded out of 100 possible points, although with the extra credit the maximum possible was 110. The class average was 88.8, with a median of 91 and a standard devitation of 13.15. So, great job everybody! The exam, along with its solutions, are now posted below. Hope you're all having a great fall break, and I'll see you on Monday, October 15th.


• October 4th - The solutions for the second practice exam are posted below, as are the solutions to assignment 6. Also posted below are the lectures notes with examples for lecture 20. The second exam will be tomorrow in class. See you then!


• October 2nd - The second computer lab has been graded, and the grades are now posted on canvas. Also, my own writeup for the second computer lab is posted below. Tomorrow in class we'll be having a review sessions and going over the practice exam, so please come with questions. See you then.


• October 1st - Lectures 19, 20, and 21 are posted below, along with the lecture notes with examples for lectures 18 and 19. Assignment 7 is also posted below. Please remember assignment 6 is due in class tomorrow. Practice exam 2 is posted below. Please take a look at it before the review session on Wednesday. Also, assignment 5 has been graded, and the grades are posted on Canvas, which is linked to above. See you in class tomorrow!


• September 26th - Today we finished covering section 3.4 and began section 3.5. We'll finish section 3.5 on Friday. The lecture notes with examples for this week so far (lectures 15, 16, and 17) are posted below. Also, the lecture for this Friday, lecture 18, is posted as well. Finally, the solutions for assignment 5 are posted below. Assignment 4 is now graded, and the grades are posted on Canvas. I'll have office hours tomorrow if anybody wants to come by with questions. I've got candy! Also, the second computer lab writeup is due in class on Friday.


• September 25th - Lecture today was without lecture notes. Sorry. The lectures notes for today's lecture (lecture 16) and tomorrow's lecture (lecture 17) are posted below. Also, assignment 6 is now posted, and is due on Tuesday, October 2nd.


• September 23rd - Lecture 15 is now posted below. It will be the lecture for tomorrow. See you then!


• September 19th - Today in class we finished lecture 13 and covered lecture 14, completing our discussion of section 3.2. The lectures notes with examples for lectures 13 and 14 are posted below. Please remember that this Friday we do not have class in our usual classroom, but will instead by in the computer lab, which is LCB 115. The computer lab project description is posted below. Please note that today I modified slightly the project description I posted yesterday, so please download and make sure you have the most recent project description. Also, I posted Maple code for solving the example problem discussed in the lab. The Maple code for the actual lab problem will be similar, but a bit more difficult. The grades for the first computer lab are posted on Canvas, and the lab was handed back in class today. Finally, the solutions for assignment 4 are now posted below. I'll have office hours tomorrow in case anybody wants to come by for help or to get candy. I'll see you all in the computer lab on Friday.


• September 18th - Today in class we covered lecture 13. Tomorrow we'll cover lecture 14 and finish section 3.2. Posted below is the project description for the computer lab this Friday. Please print it out and read through it before the lab on Friday.


• September 17th - Today I did not hand back assignment 3 or exam 1. Sorry. They will both be handed back tomorrow. Assignment 4 was due today. Assignment 5 is now posted below, along with lectures 13 and 14 for tomorrow and Wednesday. Also, please note there was a typo in problem 2.5.25 on assignment 4. That problem will not be graded.


• September 14th - Today was our first exam. The exam is now graded, and the grades are up on Canvas, along with the grades for assignment 3. The exam, along with its solutions, are posted below. The class did well! The class average was 87.2, and the median was 93. So, good job! I'll hand back exam 1 and assignment 3 in class on Monday. See you then, and have a good weekend.


• September 12th - Today in class we reviewed chapters 1 and 2 for the exam on Friday. The solutions to the practice exam are posted below, along with the solutions to assignment 3 and the instructor example writeup for computer lab 1. Computer lab 1 was due today. See you in class on Friday for the first exam.


• September 11th - Today we covered symmetric and permutation matrices, finishing up chapter 2. The first exam on Friday will cover all the material from chapters 1 and 2. The lectures notes with examples for lecture 11 are posted below. Tomorrow in class we'll have a review day.


• September 10th - Today in class we covered LU factorization, which corresponds with section 2.6 of the textbook. The lecture notes with examples for lectures 9 and 10 are now posted below. Also, assignment 4 is now posted below. It is due on Monday, September 17th. Assignment 2 has been graded, and the grades have been posted to Canvas. I'll be handing back assignment 2 in class tomorrow.


• September 8th - Practice exam 1 is now posted below. The first exam will be this Friday, September 14th. It will be similar in content, difficulty, and length to the practice exam posted below. We will be going over the practice exam during the review class this Wednesday, September 12th. Please try to take the practice exam before then. Solutions for the practice exam will be posted on Wednesday, September 12th.


• September 6th - Thank you all for coming to the computer lab yesterday. Sorry if the lab was a bit rough around the edges. The computer lab is due on Wednesday, September 12th, although most of you completed it and handed it in yesterday. What is due is a printout of your Maple code, and a writeup of the questions at the end of the lab. This writeup can be part of the printout of your Maple code, if you so desire. Also, the solutions for assignment 2 are now posted below. Assignment 1 has been graded, and I'll hand it back in class tomorrow. Finally, the lecture notes for lectures 11 and 12 are posted below, and the lecture notes with examples for lectures 7 and 8 are also posted below. Have a good day, and I'll see you in class tomorrow.


• September 4th - Assignment 3 is now posted below, and is due on Monday, September 10th. Assignment 1 has been graded, and the grades are posted on Canvas. There is a link for Canvas above. Please remember that tomorrow is our first computer lab, and we'll meet in LCB 115. We will not be meeting in our usual classroom. See you in the computer lab tomorrow!


• August 30th - The lectures notes for lectures 9 and 10 are now posted below. Please remember we have class tomorrow in our usual room, not the computer lab.


• August 29th - Today in class we covered section 2.2 from the textbook, which corresponds with lecture 6 from the lecture notes. The notes for lecture 6 with the examples worked are now posted below. Please note that assignment 2 only covers material from sections 2.1 and 2.2, not any of the material we'll be covering this Friday. The solutions for assignment 1 are now posted below. I will have office hours tomorrow during the scheduled time 9:40 AM to 10:30 AM.


• August 28th - The big announcement is that due to scheduling problems the dates for two of our computer labs have been moved. There will be no computer lab this Friday, and instead there will be a computer lab on Wenesday, September 5th. There will also be no computer lab on Tuesday, December 4th, and instead there will be a lab on Friday, November 30th. The schedule on the course webpage, and on the syllabus posted on the course webpage, has been updated to reflect these changes. This Friday we'll be covering section 2.3 of the textbook. Today in class we finished covering section 2.1, and the lecture notes for today's lecture (lecture 5) with the examples completed are now posted below. The lectures notes for Wednesday and Friday of this week, lectures 6 and 7, respectively, are also posted below.


• August 27th - Today for lecture 4 we covered the first part of section 2.1. There were office hours today from 11:00 AM until noon, and there will be office hours again this week at the usual time on Thursday. The first homework assignment is due tomorrow. Lecture 5 is now posted below, as is the first computer lab. Sample output for the first computer lab is also posted below. Finally, I've posted links below to lecture notes and video lectures from other linear algebra classes from other universities that you might find useful as a supplement.


• August 23rd - There were no office hours today, and there is no class tomorrow. Because of this, I have decided to extend the due date for assignment 1 from Monday, August 27th to Tuesday, August 28th. I will also have a nonstandard office hour on Monday, August 27th from 11:00 AM until noon. This should hopefully give everybody the opportunity to ask me questions if they're having trouble with the homework. Also, lectures 2 and 3 with examples written out, lecture 4 for next Monday, and assignment 2 are now posted below. Assignment 2 is due on Tuesday, September 4th. It's not due on Monday, September 3rd because that is a university holiday.


• August 19th - We had our first day of class today. I hope it went well. We finished almost all of lecture 1, and so tomorrow we'll be finishing lecture 1 and (hopefully) making it through lecture 2. The lecture notes for lecture 2 are posted below. Also, I was asked after class if I could type up the assignments and make them available on the webpage. Foolishly, I said yes. So, below, along with the problems for assignment 1, you'll find all the questions typed up. This means, if you like, you can just print out the sheets with all the problems typed up nice and neat, and write your solutions on the printout. What could be easier! See you tomorrow. UPDATE - There was a picture that should have appeared in the assignment 1 .pdf file and it wasn't there. This has now been corrected, and the .pdf is now correct. As far as I know. Please check to make sure if you're using the .pdf for your assignment that you're using one that includes the picture. Also, for future reference, I make no promises my typed assignments will be free of typos. If you find any, please let me know ASAP, and I'll be very grateful. Oh, and the lectures notes for lecture 3 are now posted below as well.


• August 18th - Welcome! Well, the class website is (obviously) now up and running. You can find the lecture notes for the first class, as well as the syllabus and schedule, posted below. I'm looking forward to a great semester! See you all tomorrow.

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