- Textbook: A First Course in Linear Algebra (aka "FCLA")

An open-source (free) textbook in introductory linear algebra. GFDL license.

[Online Version] (login to work Reading Questions)

[Public Version] (no homework, fewer bugs) - Online Syllabus [Syllabus (Version 1)]
- Printable Syllabus [Syllabus (Version 1)]
- Writing Exercises (PDF)
- Sage, FCLA and Linear Algebra
- Grades: Linear Algebra (Math 290A, 10:00, Fall 2020) [Writing] [Reading]
- Grades: Linear Algebra (Math 290B, 11:00, Fall 2020) [Writing] [Reading]

PDF versions of class material, in reverse chronological order.

- Tuesday, April 7, Section PDM [Section A, 10:00] [Section B, 11:00]
- Monday, April 6, Problem Session [Section A, 10:00] [Section B, 11:00]
- Friday, April 3, Section DM [Section A, 10:00] [Section B, 11:00]
- Thursday, April 2, Section PD [Section A, 10:00] [Section B, 11:00]
- Tuesday, March 31, Section D [Section A, 10:00] [Section B, 11:00]
- Monday, March 30, Section B [Section A, 10:00] [Section B, 11:00]
- Friday, March 27, Problem Session [Section A, 10:00] [Section B, 11:00]
- Thursday, March 26, Section LISS [Section A, 10:00] [Section B, 11:00]
- Friday, March 13, Sections S/LISS [Section A, 10:00] [Section B, 11:00]

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)

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

- 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.

Fall 2019 (with Sage problems, handwritten solutions):

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

Keys:
[SLE]
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Spring 2019 (with Sage problems, handwritten solutions):

Originals:
[SLE]
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[D&E]
[LT]
[R]

Keys:
[SLE]
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Spring 2017 (with Sage problems, handwritten solutions):

Originals:
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Keys:
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Spring 2016 (with Sage problems, handwritten solutions):

Originals:
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Keys:
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Spring 2015 (with Sage problems, handwritten solutions):

Originals:
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Keys:
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Spring 2014 (with Sage problems, handwritten solutions):

Originals:
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Keys:
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Fall 2013 (with Sage problems, handwritten solutions):

Originals:
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Keys:
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Spring 2012 (with Sage problems, handwritten solutions):

Originals:
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Keys:
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Spring 2010 (with solutions):

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Spring 2008 (with solutions):

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Fall 2007 (with solutions):

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Spring 2007 (with solutions):

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Fall 2006 (with solutions):

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Fall 2005 (with solutions):

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Spring 2005 (with solutions):

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Fall 2004 (with solutions):

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Fall 2003:

[1]
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This is: http://buzzard.ups.edu/courses/2020spring/290s2020.html

Maintained by: Rob Beezer

Last updated: January 4, 2020