## 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.

An easy way to use Sage more seriously is https://cocalc.com. This free cloud service does not require you to make an account or to install anything: after choosing *Use CoCalc Anonymously*, select *View Your CoCalc Projects...* (at the bottom of the page), create a project (choose any name for it), followed by *New* and *Sage worksheet* and start computing. (To save your work for later, you can create a free account.)

## 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