- 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)] - Syllabus [Revised Calendar, 2019-03-25] [Revised Calendar, 2019-02-19] [Original]
- Syllabus (Printable PDF) [Revised Calendar, 2019-03-25] [Revised Calendar, 2019-02-19] [Original]
- Writing Exercises (PDF)
- Sage, FCLA and Linear Algebra
- Grades: Linear Algebra (Math 290B, 11:00, Spring 2019) [Writing] [Reading]

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

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)

- Python Book: Dive Into Python; Mark Pilgrim
- Math Forum Linear Algebra Pages
- Oliver Knill's Linear Algebra Handouts
- Another open-content linear algebra textbook, Linear Algebra by Jim Hefferon
- Initial work on a second text: A Second Course in Linear Algebra

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 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/2019spring/290s2019.html

Maintained by: Rob Beezer

Last updated: May 10, 2019