David Dumas

University of Illinois at Chicago

Fall 2018

The JPEG compression algorithm begins with this basis for the space of 8x8 grayscale images |

Textbook | Friedberg, Insel, and Spence, Linear Algebra, 4ed |
---|---|

Lectures | MWF 9am in 316 Burnham Hall |

Instructor | David Dumas <david@dumas.io> |

Instructor office hours | MWF 10am in 503 SEO |

Grader | Charles Alley <calley2@uic.edu> |

Grader office hours | Wed 1pm-4pm in MSLC (third floor of SES) |

CRN | 13705 |

It is important to write legibly if you are hand-writing solutions!

Unless specifically instructed not to for a given question, you always need to write a proof.

**Homework 0, due Wednesday August 29**

Download and read the course syllabus.**Homework 1, due Wednesday, September 5**

Section 1.2 (problems begin on p12): 1 (just T/F, no proofs), 8, 11, 12, 13, 14, 16, 20, 21**Homework 2, due Monday, September 10**

Section 1.3 (problems begin on p19): 8, 10, 19, 20

Section 1.4 (problems begin on p32): 6, 10, 12**Homework 3, due Monday, September 17**

Section 1.5 (problems begin on p40): 2acde, 5, 8, 13

Section 1.6 (problems begin on p53): 2abc, 5, 8, 9**Homework 4, due Monday, September 24**

Section 1.6 (problems begin on p53): 10*, 11, 21, 24**

Section 2.1 (problems begin on p74): 9***, 10

* This problem does not involve writing a proof. However, you must show your work.

** It may be helpful to do problem 18 in section 1.5 first.

*** "State why" means "Prove that".

- August 27: Chapter 1 and Appendix C

Skipped:- Equation-solving algorithm from 1.4 (we'll do this in chapter 3)
- Section 1.7

- September 14: Chapter 2

- Lecture 1 (Mon Aug 27): The definition of a vector space (Section 1.2)
- Lecture 2 (Wed Aug 29): Examples of vector spaces (Section 1.2)
- Lecture 3 (Fri Aug 31): Basic theorems in vector spaces (cancellation etc.) (Section 1.2)
- Lecture 4 (Wed Sep 5): Subspaces (Section 1.3)
- Lecture 5 (Fri Sep 7): Linear combinations and span (Section 1.4)
- Lecture 6 (Mon Sep 10): Linear independence (Section 1.5)
- Lecture 7 (Wed Sep 12): Bases (Section 1.6)
- Lecture 8 (Fri Sep 14): Replacement theorem (Section 1.6)
- Lecture 9 (Mon Sep 17): Dimension (Section 1.6)
- Lecture 10 (Wed Sep 19): Lagrange interpolation (Section 1.6)
- Lecture 11 (Fri Sep 21): Linear Transformations (Section 2.1)

- Video lectures by Gilbert Strang from MIT linear algebra course 18.06, Fall 1999
- These lectures on applied linear algebra could be a good complement to the more theoretical discussion in Math 320