Math 5230 (Fall 2024) Homepage

News & Announcements

12/10
A Christmas miracle - grading is done! Overall, final projects seemed to go really well. I've sent out a final grade report as well as all recording links from this semester.

So now our class is over...but that doesn't mean we have to be strangers. If you ever have a question (mathematical or otherwise), please stop by my office or send me an email. I'm happy to help if I can. It's nice to hear from former students.

Merry Christmas!

11/25
Handout: Jordan Form [Source: (.tex)]

Maple Examples:
Jordan and Functions of Matrices Examples (.mw) [(.pdf)]
More Jordan and Functions of Matrices Examples (.mw) [(.pdf)]
More Jordan Examples (.mw) [(.pdf)]

11/18
Spectral Decomposition in Maple: Examples Worksheet [(.pdf)]

11/13
Remaining Items:
Homework #9 [Source: (.tex)] is due this week (by Friday please).
• Almost Final Exam [Emailed] is due Monday, December 2nd by 5pm.
• Final Project stuff is due Monday, December 9th by 5pm.
   → Final Project Guidelines

11/04
Homework #9 [Source: (.tex)] is due Wednesday, November 13th.

Handouts/Examples:
Inner Product Space Definitions [Source: (.tex)]
Gram Schmidt Example [Source: (.tex)]
• Maple Examples: Linear Regression [(.pdf)]

10/28
Big Quiz (aka Test #2) will be take home. I'll be sending it out via email this Friday and it will be due by 5pm on Monday, November 4th. As mentioned in class, it should not take days to do, but you will have the whole weekend to complete it. Also, if you would like a printed copy, just stop by my office and I can print one for you.

Handouts/Semi-Relevant References:
Eigenstuff [Source: (.tex)]
Cayley-Hamilton Theorem [Source: (.tex)]
Inner Product Space Definitions [Source: (.tex)]
$\mathbb{R}^n$'s Structures [Source: (.tex)]
• Maple Example: Gram-Schmidt & QR Decomposition [(.pdf)]

10/21
Don't forget that Homeworks #5 & #6 are due!
Homework #5 [Source: (.tex)]
Homework #6 [Source: (.tex)]

Homework (just for practice):
Homework #7 [Source: (.tex)]

Also...
Homework #8 [Source: (.tex)] is due Wednesday, October 30th

Old & New Handouts:
Notes [Source: (.tex)] about independence, spanning,
    dimension, coordinates, & direct sums.
Weird Dimension Examples [Source: (.tex)]
    (spaces of continuous and rational functions.)
Dual Spaces [Source: (.tex)] -- some notes.
Coordinate Matrix Example [Source: (.tex)]
Kernel, Range, & Composition Example [Source: (.tex)]
Coordinates vs. Coordinate Matrices [Source: (.tex)]

10/03 Updated
Hurrication! Classes canceled.

I hope you all are safe and doing ok. My family came through the storm without any severe problems. We are very very blessed. If you need any kind of assistance, do not hesitate to reach out for help!

AppState has canceled classes up through our fall break. This means that currently classes are not set to resume until Wednesday, October 16th

How do we go forward?
• I will be recording videos covering missed classes.
• Assignments are not due until after the break.
• Homework #7 will just be for practice. [I'll email an answer key.]

Videos? See email.

Homework (due 10/21/24 = after break):
Homework #5 [Source: (.tex)]
Homework #6 [Source: (.tex)]

Homework (just for practice):
Homework #7 [Source: (.tex)]

If you need additional time because of power/internet issues, please reach out to me. We'll make this work the best we can.

"VACATION" REVIEW: Hurrication (0 out of 5 stars) - do not recommend.
Are you looking for a nice getaway? A vacation? Hurrication is not for you. Consider a nicer location like the Siberian wilderness or the Arabian desert.


09/24
Homework #5 [Source: (.tex)] is due Wednesday, October 2nd.

Next Handouts:
Notes [Source: (.tex)] about independence, spanning,
    dimension, coordinates, & direct sums.
Weird Dimension Examples [Source: (.tex)]
    (spaces of continuous and rational functions.)

09/16
Semi-relevant handouts:
Characterizing the Reals [Source: (.tex)]
Axioms for the Reals [Source: (.tex)]

09/16
→ Don't forget Homework #4 [Source: (.tex)] is due Wednesday.

Our Computation Test is next Monday (September 23rd).

Format: I plan to give everyone about 90 minutes to take this exam. For those online, I plan to email a pdf while expecting everyone to be logged into Zoom with cameras on. If you have a printer, it would be immensely helpful to print a copy to work on - the last computation test was 8 pages. Copying from the computer screen can be time consuming and leads to miscopies. [As one might expect, I will provide printed copies for my in person students.]

What to expect/study? Looking at old tests are a good way to study for new tests and I do have one old Computation Test posted here (i.e., Fall 2016 Test #1). You may note that it has a lot in common with our homeworks. Reviewing homework answer keys should be helpful. In addition, most everything we have covered is really introduction to linear algebra (Math 2240) stuff. I have old Math 2240 exams posted here. You would find the following problems relevant:

  • Fall 2012:
    • Test #1: all of it
    • Test #2: all of it
    • Test #3: 3
    • Test #4: 4-6
    • Final Exam: 1-4,6,10
  • Spring 2011:
    • Test #1: all of it
    • Test #2: 2-6
    • Test #3: 2,4
    • Test #4: 4-6
    • Final Exam: 1-4,6,8c,10
  • Fall 2008:
    • Test #1: 1-4,6
    • Test #2: 1-3,5
  • Spring 2008:
    • Exam #1: 1,3-8
    • Exam #2: 1,2,4-6
  • Fall 2006:
    • Exam #1: 1,3-8
    • Exam #2: 1,3,5-7
  • Summer 2006:
    • Exam #1: 1,3-6,8-10
    • Exam #2: 1,2,4-6,8,9
    • Final Exam: 1-3,5a,6,9,10, also look at 11a in answer key
Textbook? Soon we will be dealing more directly with material in Freidberg, Insel, & Spence's "Linear Algebra". But for now we've been mostly looking at my own handouts.

09/11
Homework #4 [Source: (.tex)] is due Wednesday, September 18th.

09/09
Upcoming & Semi-Relevant Handouts/Examples:
Inner Product Space Definitions [Source: (.tex)]
$\mathbb{R}^n$'s Structures [Source: (.tex)]
• Maple Example: Gram-Schmidt & QR Decomposition [(.pdf)]

09/03
Handout:
Eigenstuff [Source: (.tex)]

Homework #3 [Source: (.tex)] is due Wednesday, September 11th.

08/28
Future Handouts/Semi-Relevant References:
Determinants [Source: (.tex)]
Volumes of Parallelotopes [Source: (.tex)]
• Cross Product Paper: Generalized Pythagorean Theorem [Related Slides]
• A Maple example Visualizing Determinants (.mw) [Export: (.html)]

Homework #2 [Source: (.tex)] is due Wednesday, September 4th.

08/26
Handout/Future Handout:
Computing Bases [Source: (.tex)]
• Future notes [Source: (.tex)] about independence, spanning,
    dimension, coordinates, & direct sums.

08/19
Handouts/Extra Example:
RREF & Linear Correspondence [Source: (.tex)].
Partial pivoting and PLU-decomposition example [Source: (.tex)]
• Extra PLU Decomposition (.mw) [(.pdf)] (done in Maple).

Homework #1 [Source: (.tex)] is due Wednesday, August 28th.

08/09
Syllabus, Schedule, Suggested Homework, & asULearn have been updated.