Math 5230 (Fall 2022) Homepage

Syllabus Schedule Suggested Homework

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News & Announcements

12/12

I just submitted final grades. If you have any questions about your grade, mathematics, or anything else, don't hesitate to ask!

Merry Christmas!!!

Note: You have keys from homework and tests, and I left up the last class's exams with keys. These should be of help when studying for the comprehensive (for those who have to take it).

Details about FINAL PROJECTS.

11/28

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)]

11/21

Spectral Example (.mw) [(.pdf)]

11/18

Almost Final Exam (.pdf) [Source: (.tex)] due Monday, Dec. 5^th at 5pm.
[Oh no! A typo! In problem #2, the definition of V should be a+b=0 (not a-b=0). Oops!!!]

11/11

Linear Regression Examples (.mw) [(.pdf)]

Homework #8 [Source: (.tex)] is due Friday, November 18^th.

11/02

We will soon embark on a tour of inner product space theory, so an old handout and a new:
Gram Schmidt (.pdf) [Source: (.tex)]
Basic inner product space definitions (.pdf) [Source: (.tex)] -- UPDATED

10/28

Big Quiz next Friday (November 4^th).
It will cover basic vector space, subspace, linear independence, spanning, linear transformation, coordinate, and coordinate matrix stuff.
[Friedberg, et. al. chapters 1 & 2 and Hoffman & Kunze chapters 2 & 3.]
The old Big Quiz (=Test #2) should be a good guide as to what to expect.

10/24

Several related handouts:
Coordinate Matrix Example (.pdf) [Source: (.tex)]
Kernel, Range, & Composition Example (.pdf) [Source: (.tex)]
Coordinates vs. Coordinate Matrices (.pdf) [Source: (.tex)]

10/21

Dual Spaces [Source: (.tex)] -- some notes.

Homework #7 [Source: (.tex)] is due Friday, October 28^th.

10/07

Homework #6 [Source: (.tex)] is due Friday, October 14^th 21^st.

09/27

Homework #5 [Source: (.tex)] is due Friday, October 7^th.

We will revisit these notes [Source: (.tex)] about independence, spanning, dimension, coordinates, & direct sums soon.

09/19

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

09/14

Homework #4 [Source: (.tex)] is due Wednesday, September 21^st.

Gram Schmidt (.pdf) [Source: (.tex)]
Gram-Schmidt & QR Example (.mw) [(.pdf)]

09/07

Eigenstuff [Source: (.tex)]

Homework #3 [Source: (.tex)] is due Wednesday, September 14^th.

08/31

Homework #2 [Source: (.tex)] is due Wednesday, September 7^th.

08/30

A handout concerning Determinants (.pdf) [Source: (.tex)]

A Maple example Visualizing Determinants (.mw) [Export: (.html)]

08/25

Another PLU Decomposition (.mw) [(.pdf)] (done in Maple).

Also, a handout concerning Computing Bases (.pdf) [Source: (.tex)] and some notes [Source: (.tex)] about independence, spanning, dimension, coordinates, & direct sums.

08/23

Homework #1 [Source: (.tex)] is due Wednesday, August 31^st.

Partial pivoting and PLU-decomposition example [Source: (.tex)]
[?all? typos now corrected]

08/12

A first handout: RREF & Linear Correspondence [Source: (.tex)].

08/11

Syllabus, Schedule, Suggested Homework, & asULearn updated.