- Textbook: A First Course in Linear Algebra (aka "FCLA")
- An open-source (free) textbook in introductory linear algebra. GFDL license.
- Online Version @ Runestone (login to work Reading Questions)

- Online Syllabus
- Printable Syllabus
- Final Examination, Monday, May 10, 8 AM
- Writing Exercises (PDF)
- Sage, FCLA and Linear Algebra
- Grades: Linear Algebra (Math 290A, Fall 2021) [Writing] [Reading]

- Produce each exercise (original, or retry) as a PDF in CoCalc. Do not make screenshots or other alternatives - save the actual PDF that CoCalc creates. Name the file carefully, as failure to do so will result in an automatic retry. Problem number, with a dash, then another dash, then your last name in lowercase letters. Do not change the form of your name from problem to problem or chapter to chapter or for retries. One exercise per file. Model filename:
`SLE-2-beezer.pdf`

- Retries do not need old versions, nor do they need cover sheets. Include a copy of my *overall* comments from previous versions at start of the PDF of your new version. These are the sorts of things I used to write on the cover sheets, and now write at the top. Such as "Close. Needs one small fix.", or "First half correct, see comments on second half.", etc. Use the same pattern for filenames, I can keep track of the different versions.
- Send a
**single**message, with all of your new and retry exercises as attachments, to the special address given in class. DO NOT email to my usual address, that could be an automatic retry. - Subject line is not critical, but my reply to you will use the same subject line, so use something that helps
*you*stay organized.

PDF versions of class material, in reverse chronological order. (Some links are staged, and may not yet be active.)

- Monday, May 3, Problems
- Friday, April 30, Section CB
- Thursday, April 29, Problems
- Monday, April 26, Problems
- Friday, April 23, Section MR
- Thursday, April 22, Section VR
- Monday, April 19, Section IVLT
- Friday, April 16, Section SLT
- Thursday, April 15, Section ILT
- Monday, April 12, Section LT
- Friday, April 9, Problems
- Thursday, April 8, Section ME
- Monday, April 5, Section SD
- Friday, April 2, Problems
- Thursday, April 1, Section IS
- Friday, March 26, Section PEE
- Thursday, March 25, Section EE
- Monday, March 22, Section PD
- Friday, March 19, Section D
- Thursday, March 18, Section B
- Monday, March 15, Section LISS
- Friday, March 12, Section S
- Thursday, March 11, Section VS
- Monday, March 8, Problems
- Friday, March 5, Section FS
- Thursday, March 4, Section CRS
- Monday, March 1, Section MINM
- Friday, February 26, Section MISLE
- Thursday, February 25, Section MM
- Monday, February 22, Section MO
- Monday, February 15, Section O
- Friday, February 12, Section LDS
- Thursday, February 11, Section LI
- Monday, February 8, Section SS
- Friday, February 5, Section LC
- Thursday, February 4, Section VO
- Monday, February 1, Problems
- Friday, January 29, Section NM
- Thursday, January 28, Section HSE
- Monday, January 25, Section TSS
- Friday, January 22, Section RREF
- Thursday, January 21, Section SSLE
- Tuesday, January 19, Section WILA

- Center for Writing, Learning, and Teaching: [CWLT] [Hours] [Appointment How-To]
- Mathematics Department: [Schedule]

Spring 2021 (with Sage problems, handwritten solutions, no determinants):

Originals:
[SLE]
[V]
[M]
[VS]
[E]
[LT]

Keys:
[SLE]
[V]
[M]
[VS]
[E]
[LT]

Sage is open-source software for advanced mathematics. Here are two of the ways you can use it.

- CoCalc
- Sage Cell Server (one-off computations)
- Linear Algebra "QuickRef" [All Quickrefs]

Main website for Sage: Sage Website

- CoCalc: online Sage and TeX environment
- TeX on Web: another online TeX compiler
- Detexify - online LaTeX symbol finder
- The Comprehensive LaTeX Symbol List - huge PDF of useful and arcane symbols
- Free LaTeX Book: The Not So Short Introduction to LaTeX2e; Tobias Oetiker, et alia
- LaTeX Book: Guide to LaTeX; Helmut Kopka, Patrick Daly (highly recommended)

Some openly licensed texts on linear algebra.

- Hefferon, Linear Algebra
- Austin, Understanding Linear Algebra
- Sylvestre, Discover Linear Algebra
- Doob, University of Manitoba Math1220 Linear Algebra
- Beezer, A Second Course in Linear Algebra

These books amplify the Proof Techniques in the textbook and each has an open license which allows you to legally download and retain a copy indefinitely.

- Mathematical Reasoning: Writing and Proof, Sundstrom, CC-BY-NC-SA License
- A Gentle Introduction to the Art of Mathematics, Fields, GFDL License
- Book of Proof, Hammack, CC-BY-ND License

These books are similar to the three above, but must be purchased.

- The Nuts and Bolts of Proof, Cupillari
- Thinking Mathematically, Mason/Burton/Stacey
- How to Read and Do Proofs, Solow
- How to Prove It: A Structured Approach, Velleman
- Mathematical Thinking: Problem-Solving and Proofs, West/D'Angelo
- Proofs and Fundamentals: A First Course in Abstract Mathematics, Bloch

- Visual RREF, 3 variables, 3 equations, WhyU
- Python Book: Dive Into Python; Mark Pilgrim
- Math Forum Linear Algebra Pages
- Oliver Knill's Linear Algebra Handouts

These examinations are offered with no guarantees. Notation, techniques, and emphases will vary (sometimes radically) from semester to semester. **Use at your own risk**. There are definitely a few typos in problem statements and in the solutions. **I do not maintain these**, nor do I entertain questions about them via email.

Spring 2020 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Fall 2019 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2019 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2017 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2016 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2015 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2014 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Fall 2013 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2012 (with Sage problems, handwritten solutions):

Originals:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Keys:
[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2010 (with solutions):

[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2008 (with solutions):

[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Fall 2007 (with solutions):

[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2007 (with solutions):

[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Fall 2006 (with solutions):

[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Fall 2005 (with solutions):

[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Spring 2005 (with solutions):

[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Fall 2004 (with solutions):

[SLE]
[V]
[M]
[VS]
[D&E]
[LT]
[R]

Fall 2003:

[1]
[2]
[3]
[4]
[5]
[6]

This is: http://buzzard.ups.edu/courses/2020spring/290s2021.html

Maintained by: Rob Beezer

Last updated: February 17, 2021