## Overview

Instructor | Dr. Armin Straub
ILB 313 straub@southalabama.edu (251) 460-7262 (please use e-mail whenever possible) |

Office hours | MW, 9:05-1:15pm, or by appointment |

Lecture | MWF, 8:00-8:55am, in ILB 410. |

Midterm exams | The tentative dates for our two midterm exams are:
Wednesday, February 15 Wednesday, March 29 |

Final exam | Monday, May 1 — 8:00am-10:00am |

Text |
Linear Algebra with Applications,
by Jeffrey Holt (W. H. Freeman, 2013) |

Online grades | USAonline |

Syllabus | syllabus.pdf |

## Lecture sketches and homework

To help you study for this class, I am posting **lecture sketches**. These are not a substitute for your personal lecture notes or coming to class (for instance, lots of details and motivation are not included in the sketches). I hope that they are useful to you for revisiting the material and for preparing for exams.

After most classes, **homework** is assigned and posted below. This homework will not be collected; instead, it helps you prepare for the quizzes (which will usually be similar to the assigned homework) and our exams.

Date | Sketch | Homework |
---|---|---|

01/09 | lecture01.pdf | finish Example 8; also review any topic discussed today which you don't recall fully |

01/11 | lecture02.pdf | do Example 11; again, if necessary, go over topics we reviewed today |

01/13 | lecture03.pdf | do Examples 13, 22 |

01/18 | lecture04.pdf | do Examples 30, 32
Also, make sure you are ready for the quiz on Friday on diagonalization. |

01/20 | lecture05.pdf | do Example 33; most importantly, play with the open-source free computer algebra system Sage
See below for the easiest ways to get started. |

01/23 | lecture06.pdf | do Example 40 |

01/25 | lecture07.pdf | do Examples 44, 47; also check out Example 45 as a bonus challenge |

01/27 | lecture08.pdf | do Examples 51, 52
There will be a quiz next Wednesday on least squares (finding least squares solutions to systems, orthogonal projection, linear regression), similar to the homework problems this week. |

01/30 | lecture09.pdf | do Example 53
There will be a quiz on Wednesday similar to Example 53 (but 3x2 and with more pleasant numbers). |

02/01 | lecture10.pdf | review the quiz (posted below) |

02/03 | lecture11.pdf | have a look at Examples 62 and 63; finish Example 64 |

02/06 | lecture12.pdf | do Examples 67 and 68 |

02/08 | lecture13.pdf | do Example 77; start preparing for our first midterm exam next Wednesday:
midterm01-practice-lecture.pdf (these are problems we discussed in class) |

02/10 | lecture14.pdf | do Examples 80 and 81; continue preparing for the midterm:
midterm01-practice.pdf, midterm01-practice-solution.pdf |

02/13 | review | get ready for the midterm! |

02/17 | lecture15.pdf | revisit and think about the sketch in Example 84; review the midterm (solutions posted below) |

02/20 | lecture16.pdf | do Examples 86 and 91 |

02/22 | lecture17.pdf | finish Example 94; do Example 95 |

02/24 | lecture18.pdf | do Example 103 |

02/27 | lecture19.pdf | Enjoy Mardi Gras! |

03/01 | lecture20.pdf | carefully go through Example 108 and fill in all details |

03/03 | lecture21.pdf | do Examples 111 and 112
We will have a quiz next Wednesday on the SVD. |

03/06 | lecture22.pdf | do Examples 116 and 117 |

03/08 | lecture23.pdf | review Examples 118-120 (geometric interpretation of SVD) |

03/10 | lecture24.pdf | do the computations in Examples 123, 124; do Example 125 |

03/20 | lecture25.pdf | do Examples 135 and 137 |

03/22 | lecture26.pdf | do Examples 147 and 148; start preparing for our second midterm exam next Wednesday:
midterm02-practice-lecture.pdf (these are problems we discussed in class) |

03/24 | lecture27.pdf | do Example 152; continue preparing for the midterm:
midterm02-practice.pdf, midterm02-practice-solution.pdf |

03/27 | review | get ready for the midterm! |

03/31 | lecture28.pdf | do Example 158 |

04/03 | lecture29.pdf | do Example 160 |

04/05 | lecture30.pdf | do Example 167 (also revisit Examples 163, 165, 166, which are slightly different than in class) |

04/07 | lecture31.pdf | do Example 169; fill in the details for Example 170 |

04/10 | lecture32.pdf | complete Example 172
There will be a quiz on Friday similar to Examples 163 as well as 170/172. |

04/12 | lecture33.pdf | do Example 176; prepare for the quiz on Friday |

04/14 | lecture34.pdf | finish Example 179; happy Easter! |

04/17 | lecture35.pdf | do Example 182 |

04/19 | lecture36.pdf | do Example 186; finish Example 187 |

04/21 | lecture37.pdf | do Example 189; finish Example 190 |

04/24 | lecture38.pdf | do Examples 193 and 195 (good exam practice, too); start preparing for the final exam:
final-practice-lecture.pdf (these are problems we discussed in class) |

04/26 | lecture39.pdf | continue preparing for the final exam:
final-practice.pdf, final-practice-solution.pdf |

04/28 | review | get ready for the final! |

## Sage

As part of this course, we will explore the open-source free computer algebra system Sage to assist with more involved calculations.

If you just want to run a handful quick computations (without saving your work), you can use the text box below.

A convenient way to use Sage more seriously is https://cocalc.com. This free cloud service does not require you to install anything, and you can access your files and computations from any computer as long as you have internet. To do computations, once you are logged in and inside a project, you will need to create a "Sage notebook" as a new file.

## Quizzes and solutions

- quiz01.pdf, quiz01-solution.pdf
- quiz02.pdf, quiz02-solution.pdf
- quiz03.pdf, quiz03-solution.pdf
- quiz04.pdf, quiz04-solution.pdf

## Exams and practice material

There will be two in-class midterm exams and a comprehensive final exam. Notes, books, calculators or computers are not allowed during any of the exams.

Our exam schedule is:

- Midterm Exam 1: Wednesday, February 15

midterm01.pdf, midterm01-solution.pdf - Midterm Exam 2: Wednesday, March 29

midterm02.pdf, midterm02-solution.pdf - Final Exam: Monday, May 1 — 8:00am-10:00am

The following material will help you prepare for the exams.

- Midterm Exam 1:
- midterm01-practice-lecture.pdf (these are problems we discussed in class)
- midterm01-practice.pdf, midterm01-practice-solution.pdf (these problems are more exam-like)

- Midterm Exam 2:
- midterm02-practice-lecture.pdf (these are problems we discussed in class)
- midterm02-practice.pdf, midterm02-practice-solution.pdf

- Final Exam:
- final-practice-lecture.pdf (these are problems we discussed in class)
- final-practice.pdf, final-practice-solution.pdf