## MAT 310-01 (Elementary Linear Algebra) Fall 2018

Linear systems, matrices, determinants, eigenvalues and eigenvectors, finite-dimensional vector spaces, linear transformations.

- Pr. grade of at least C in MAT 292

All announcements and handouts will be posted on Canvas. Be sure to check your UNCG email regularly.

### Documents (pdf)

- Syllabus (PDF)
- Discrete Dynamical System Example (Python)
- Handout on proof writing (PDF)
- Handout for induction proofs (PDF)
- All additional documents will be posted on Canvas.

### Homework

The exercise list below will be updated as the semester progresses.

- 1.1 (1-4, 7-14, 17-26) [3, 4, 8, 10, 12, 14, 18, 23, 24, 25, 26]
- 1.2 (1-4, 7-16, 19-27, 30, 31) [2, 8, 10, 12, 21, 22, 23, 24, 26, 30, 31] Note: The instructions on problems 1-2 are unclear, since some matrices in echelon form are in reduced echelon form, and some matrices in echelon form are not in reduced echelon form, and some are not in echelon form. You should distinguish between these three types as reduced echelon form, echelon form, and not echelon form, respectively.
- 1.3 (3-14, 21-28, 33, 34) [4, 6, 10, 12, 14, 22, 23, 24, 28, 33]
- 1.4 (1-20, 23-26, 28-30, 32) [2, 4, 8, 10, 12, 14, 23, 24, 25, 32]
- 1.5 (1-16, 19, 20, 23-26, 28-37) [2, 6, 10, 12, 14, 16, 20, 23, 24, 25]
- 1.6 (1-10) [1, 2, 4, 6, 7, 10]
- 1.7 (1-30, 33-40) [2, 6, 8, 14, 21, 22, 27, 28, 38, 39]
- 1.8 (1-12, 13-18, 20-25, 31, 32, 35) [4, 6, 10, 16, 17, 21, 22, 31, 35]
- 1.9 (1-6, 15- 20, 23-28, 31-36) [4, 6, 16, 18, 20, 23, 24, 26, 27, 33, 34]
- 1.10 (1, 2, 9, 10, 12) [2, 9, 10]
- 2.1 (1, 2, 5-8, 10, 12, 13, 15, 16, 18-22, 28, 29, 32, 34) [2, 6, 8, 10, 15, 16, 18, 20, 29, 34]
- 2.2 (3, 4, 6-12, 14, 16, 18, 22, 24, 31, 32, 35) [3, 6, 7, 8, 9, 10, 14, 22, 24, 32]
- 2.3 (1-8, 10-14, 18-25, 34, 36) [4, 6, 8, 11, 12, 13, 20, 23, 34, 36]
- 2.8 (1-6, 8, 15-24, 26) [4, 6, 8, 16, 18, 20, 21, 22, 23, 24, 26]
- 2.9 (1-6, 8, 9-18, 22, 24, 25, 27) [4, 6, 10, 12, 14, 15, 16, 17, 18, 22, 27]
- 3.1 (1-12, 15-22, 24-26, 34, 35, 39-41) [2, 6, 10, 12, 20, 22, 24, 34, 35, 41]
- 3.2 (1, 2, 4, 5, 6, 8, 10, 15-18, 21, 22, 24, 25, 27, 28, 31, 34, 35, 40) [1, 2, 5, 6, 22, 24, 27, 28, 31, 34, 40]
- 3.3 (7, 19, 20, 22, 26-32) [20, 26, 27, 28, 29, 32]
- 4.1 (1-20, 23, 24, 32, 33) [1, 2, 5, 11, 14, 18, 20, 23, 24, 32, 33]
- 4.2 (1-37) [2, 6, 12, 16, 25, 26, 27, 28, 31, 35]
- 4.3 (1-16, 21-31) [2, 4, 8, 12, 14, 21, 22, 24, 26, 31]
- 4.4 (1-32) [2, 6, 12, 15, 16, 17, 20, 24, 28, 32]
- 4.5 (1-32) [4, 8, 10, 19, 20, 22, 29, 30, 31]
- 4.6 (1-30) [1, 2, 6, 13, 17, 18, 20, 27, 28, 30]
- 4.7 (1-14) [1, 2, 6, 7, 8, 11, 12, 13, 14]
- 5.1 (1-36) [2, 4, 6, 12, 16, 18, 21, 22 omit c, 24, 25]
- 5.2 (1-27) [4, 6, 9, 10, 16, 18, 21, 22, 23, 24]
- 5.3 (1-32) [2, 4, 8, 12, 21, 22, 24, 25, 27, 31]
- 5.4 (1-31) [2, 3, 5, 6, 8, 11, 12, 16, 17, 19, 20, 25]
- 5.5 (1-26) [2, 4, 9, 12, 15, 18, 22, 23, 25]
- 5.6 (1-18) [1, 2, 6, 9, 10, 11, 12, 18a]
- 6.1 (1-31) [2, 6, 10, 14, 16, 20, 24, 26, 28]
- 6.2 (1-34) [2, 6, 12, 14, 16, 23, 24, 27, 34]
- 6.3 (1-24) [2, 6, 8, 12, 14, 15, 19, 21, 22, 23]
- 6.5 (1-25) [2, 3, 5, 7, 14, 17, 18a-d, 19, 24, 25]
- 6.6 (1-12) [2, 3, 7a, 9]

### Additional resources

**The Art of Proof**by Matthias Beck and Ross Geoghegan is an excellent introduction to writing good proofs. Go to the UNCG Library Catalog to find this book. You can download a free copy by entering your UNCG information.**Linear algebra for everyone**by Lorenzo Robbiano is an excellent informal introduction linear algebra. Go to the UNCG Library Catalog to find this book. You can download a free copy by entering your UNCG information.- Math Help Center: Tutoring is provided on a walk-in first come first serve basis. No appointment is necessary. See the webpage for the schedule.
- Textbook website has student resources including selected material from the textbook and study guide, Getting Started with Technology, data sets, case studies and applications, and review materials.
- MIT OpenCourseWare 18.06SC Linear Algebra: lecture notes, video lectures, additional exercises.
- A Guide to Writing Mathematics, by Kevin P. Lee