website
statistics

Please click here to fill out a quick survey regarding the course. Thanks!

Final Grades (unofficial)

Note: A final grade of "F NP" means that the student did not write the final exam
(usually because they VWed the course), not that they got an F in the course.
Final Exam marks will not be made publically available.

Office Hours (map): By Appointment Only. Book Me Here   Skype: Anytime!
NEWS
Final Grades & Survey Posted Above
Sorry for the delay in getting the final grades up. Technically they are unofficial until you see them on Aurora, but if the grade you get on Aurora is different than what is here, be sure to contact me. I would definitely appreciate it if you could take a few minutes and fill out the survey you will find above as well. Thanks everyone for a great term! I wish you all the best of luck in your future academics and career endeavours. Happy new year! -Rob
Assignment 5 Marks Posted
See above. -Rob
Some last minute posts
Hey guys. My weekend ended up being incredibly busy, and I am only just now (Sunday 10pm) sitting down on the computer for essentially the first time. At this point I still havn't created the solutions for any old exams, so unfortunately it doesn't look like I'll get them up - it would still take me an over an hour to make the solutions, and then scan them and post them, and it's doubtful that anyone would see them and find them useful at this point. Very sorry for that. What I can post (and have done) is the following:
  • The final exam from April 2010 (the last time I taught the course), and just a few solutions to some of the proofs, and
  • The term test 2 from March 2010, and full solutions for it
  • The solutions to Question #5 on the December 2009 exam (the Gram-Schmidt question).
Hopefully those help someone who sees this tonight. Good luck tomorrow. It has been a pleasure working with you all. -Rob
Extra Exam Prep Class
As discussed in class, I am holding an extra class to help you guys prepare for the exam. We will be in 111 Armes on Friday December 6th from 11am to 1pm. Please come and go / drop in as you see fit. Good luck on the exam! -Rob
Assignment 5 Solutions, and more suggested homework
Posted below. -Rob
Extra Optional Assignment 6 Posted
See the instructions in the assignment itself. -Rob
Assignment 3 Marks
Hey everyone. Sorry, the official marks for assignment 3 will be later in coming than expected - things came up this afternoon and I wasn't able to get them done. But, all that is missing is the (potential) bonus marks for Q6. I have posted the marks for the regular portion of the assignment above (not including bonus). -Rob
Assignment 5 Posted
See below. Remember that, as discussed in class, there will be an optional 6th assignment which will be posted in the next few days, which will consist of 100% proofs. If you do the 6th assignment, we will mark it and your assignment mark will be made up of the best 5 out of 6 of the assignments you handed in. -Rob
Test 2 Official Marks
Posted above. Keep in mind that, as usual, you are welcome to come by and see me after you get your test back if you disagree with any of the marks. Just please compare it to the solutions on the web first, and then come ask about it. -Rob
Considering Dropping?
I will be having some special office hours for those considering dropping the course. I will be in my office for anyone looking for advice on Wednesday November 13th from 2:30pm - 4:30pm. Feel free to drop by; no appointment necessary. Help is first-come first serve. -Rob
Test 2 Solutions, Assignment 4 Posted
Apologies for the delay in getting Assignment 4 posted. It is up now and the due date is indicated on the assignment. Test 2 (blank and solutions) have also been posted. Enjoy! -Rob
Test 2 Unofficial / incompleted marks
Posted above. -Rob
Request for Sample Test(s)
As discussed in class, I unfortunately do not have time to create a sample test to offer. However, I thought this would be worth offering: if you have the time, put together what you think would be a good sample test, and email it to me. Be sure to include some proofs and some calculation questions, and some nice True/False or Fill In The Blank questions. You can get your questions out of the book or from any other resource. Email me the questions (please actually write the questions out in the email, rather than just referencing a chapter/question in the book), and if your exam is sufficiently close to a good sample exam, I will type it up, and post it on the website. Further, I will choose one question from all the sample exams I receive and will put that question on the actual test. Since I need to get the test made asap, all potential sample tests must be in to me by Fri Nov 1 at 9:00am. Thanks! -Rob
Assignment 3 Solutions Posted
See below. -Rob
Official Test 1 Marks Posted
They are available above. -Rob
Strike update
As per an email received shortly after 11:30pm today, there will be NO STRIKE. The agreement is still being worked through, but the key issues seem to be resolved. Classes as normal on Tuesday. -Rob
Assignment 3 Posted
See below. -Rob
Eigenpair Lecture Notes posted
Please print these out and bring them to class asap. Thanks. -Rob
Test 1 Questions/Solutions and Assignment 2 Solutions
By the way, for assignment 2, we will be marking questions 2c, 3a, 3b, 3e, 4a, 5, and 7. -Rob
Old Exam Questions/Solutions
Some brilliant student suggested I post the solutions to the old exam (Winter 2010) that was the one I suggested you study. I would never have thought of something so great. Thanks for the suggestion. It is posted below (Questions and Solutions). -Rob
Exam Thursday - Location
The first term test for MATH 2300 will be Thu Oct 10 from 5:30 - 6:30pm in 240 University College. Be sure to find out where this room is to make sure you do not arrive late to the exam. Make sure you bring a pencil, a pen, and photo ID with you. Good luck! -Rob
Assignment 2 posted
Assignment 2 is posted below. Note the instructions and the due date inside the document. -Rob
Requested Proof
A while ago, I told someone I would post the proof that (AB)^T = B^T A^T, and I haven't done it yet. So here it is. Assume that A is m by n and B is n by p. I will prove that: .

Here's the proof:

Hope that helps!
Assignment 1 Solutions Posted
FYI: The questions being marked are: 1d, 2, 5, 8, 9, 12a. Please let me know if there are any questions. Enjoy! -Rob
More Resourced Posted
I have now posted a link containing the in-class examples as PDFs. As well, I have posted some videos I made a few years ago for the distance ed version of 2300 covering the current topics (vector spaces & subspaces), and the next topic (linear combinations and span). Hopefully you will find them helpful! -Rob
Assignment 1 Posted
Assignment 1 is posted below. Please be sure to read the instructions carefully and look over all questions as soon as possible so you can clarify any misunderstandings. -Rob
Welcome!
Welcome to the official web page for MATH 2300 A01 at the University of Manitoba for the fall term of 2013.
 
WORKSHEETS
The following worksheets are entirely VOLUNTARY, and are meant to help with learning the material of this course as well as material that you are assumed to know in this class.
  • Matrix Multiplication Practice Worksheet
  • REF Practice Worksheet
  • RREF Practice Worksheet
  • Gauss-Jordan Practice Worksheet
  • Adjoint Practice Worksheets: easier , harder
  • Vector Space Examples
  • Vector Space Videos
    • Vector Spaces (avi)
    • Subspaces (avi)
    • Linear Combinations & Span (avi)
  • Sample Testable Proofs (not comprehensive, but covers the entire course)
    • Questions
    • Partial Solutions
 
RESOURCES / LINKS
    Assignments/Term Tests
  • Honesty Declaration
  • Assignment 1 Questions
  • Assignment 1 Solutions
  • Assignment 2 Questions
  • Assignment 2 Solutions
  • Test 1 Questions
  • Test 1 Solutions
  • Assignment 3 Questions
  • Assignment 3 Solutions
  • Assignment 4 Questions
  • Assignment 4 Solutions
  • Test 2 Questions
  • Test 2 Solutions
  • Assignment 5 Questions
  • Assignment 5 Solutions
  • Assignment 6 Questions

    Suggested Homework
    work in progress
    • Chapter 5.1: Calculation: 1-8, 9a, 10a, 11a
    • Chapter 5.1: Proofs: 18-20, 22-25, 27-28
    • Chapter 5.1: True/False: (a)-(g)

    • Chapter 5.2: Calculation: 1-25
    • Chapter 5.2: Proofs: 26-27, 31-33 (28-30 seem good too, but I can't see how to do the proofs right now - maybe I'm just tired)
    • Chapter 5.2: True/False: (a)-(h)

    • Chapter 6.1: Calculation: 1-4, 7-8, 12-17, 20-22
    • Chapter 6.1: Proofs: 23-30
    • Chapter 6.1: True/False: (a)-(f)

    • Chapter 6.2: Calculation: 1-10, 12, 14, 16a
    • Chapter 6.2: Proofs: 17-22, 26
    • Chapter 6.2: True/False: (a)-(f)

    • Chapter 6.3: Calculation: 1-11
    • Chapter 6.3: Proofs: none
    • Chapter 6.3: True/False: (a)-(e)

    • Chapter 8.1: Calculation: 1-25, 28-31, 41-42 (9-13 are especially good). 34 is good too, but more than you will need to do.
    • Chapter 8.1: Proofs: 35-38, 44 (especially 36-37). 40 looks nice, but is tougher than will be expected of you.
    • Chapter 8.1: True/False: (a)-(i) (especially (e)-(g))

    • Chapter 8.2: Calculation: 1-4, 7-8, 11-13
    • Chapter 8.2: Proofs: 9-10, 15-17, 19
    • Chapter 8.2: True/False: (a)-(f)

    • Chapter 8.3: Calculation: 1-8, 10-11a, 12-15, 17, 22. Take a look at 23 too - it's nice, but tougher than what you will see on the final.
    • Chapter 8.3: Proofs: 18-19
    • Chapter 8.3: True/False: (a)-(d), (f)


    Lecture Notes
  • Weeks 0/1: MATH 1300 Review
  • Weeks 2/3/4/5/6: Vector Spaces
  • Weeks 7/8: Eigenpairs
  • Weeks 8/9: Intro to Inner Product Spaces
  • Week 10: More Inner Product Spaces
  • 2013-11-18: Discussion on Functions
  • Weeks 11/12: Essential Linear Transformations
  • Week 13: Linear Transformations on Rn (we may not get to this)

    Class Examples
  • The lecture examples are now available immediately after class link

    Reference
  • Common Mistakes made when I taught this in 2010
  • Vector Space Axioms
  • Winter 2010 Term Test 1 - Questions:
  • Winter 2010 Term Test 1 - Solutions:
  • Winter 2010 Term Test 2 - Questions:
  • Winter 2010 Term Test 2 - Solutions:
  • Winter 2010 Final Exam - Questions:
  • Winter 2010 Final Exam - Very Partial Solutions:
  • December 2009, Question 5 Solution
  • Invalid Techniques of Proof (comical and interesting!): link
  • Math department website with old exams
  • Interested in MATHLETICS? (Recreational math and competing in mathematics competitions). The UofM has a great history in doing awesome in these competitions. You can find more information, including a take-home question sheet to check out your skills, here: link
  • MATH 1300 Wiki
  • Renting textbooks from the bookstore (link)
  • An online textbook: inner product spaces