## Overview

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

Office hours | TR, 10:00am-noon, 2:00-3:00pm, or by appointment |

Lecture | TR, 4:30-5:45pm, in MSPB 345 (Section 502). |

Midterm exams | The tentative dates for our two midterm exams are:
Thursday, October 4 Tuesday, November 13 |

Final exam | Tuesday, December 11 — 3:30pm-5:30pm |

Text |
Elementary Number Theory,
by David M. Burton (McGraw Hill, 7th Ed., 2011) |

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.

- You should aim to complete the problems right after class, and before the next class meets.

A 15% penalty applies if homework is submitted after the posted due date. - Homework is submitted online, and you have an unlimited number of attempts. Only the best score is used for your grade.

Most problems have a random component (which allows you to continue practicing throughout the semester without putting your scores at risk). - Collect a
**bonus point**for each mathematical typo you find in the lecture notes (that is not yet fixed online), or by reporting mistakes in the homework system. Each bonus point is worth 1% towards a midterm exam.

The homework system is written by myself in the hope that you find it beneficial. Please help make it as useful as possible by letting me know about any issues!

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

08/21 | lecture01.pdf | Homework Set 1: Problems 1-2 (due 9/4) |

08/23 | lecture02.pdf | Homework Set 1: Problems 3-5 (due 9/4) |

08/28 | lecture03.pdf | Homework Set 1: Problems 6-8 (due 9/4) |

08/30 | lecture04.pdf | complete the first HW set! |

09/06 | lecture05.pdf | Homework Set 2: Problems 1-5 (due 9/20) |

09/11 | lecture06.pdf | Homework Set 2: Problems 6-9 (due 9/20) |

09/13 | lecture07.pdf | Homework Set 2: Problems 10-11 (due 9/20) |

09/18 | lecture08.pdf | complete the second HW set! |

09/20 | lecture09.pdf | Homework Set 3: Problems 1-4 (due 10/4) |

09/25 | lecture10.pdf | Homework Set 3: Problem 5 (due 10/4) |

09/27 | lecture11.pdf | Homework Set 3: Problems 6-7 (due 10/4) |

10/02 | review | continue preparing for the midterm exam on 10/4:
midterm01-practice.pdf Solutions are posted below. Only consult them after having worked through the problems. |

10/09 | lecture12.pdf | Homework Set 4: Problems 1-3 (due 10/26) |

10/16 | lecture13.pdf | Homework Set 4: Problems 4-6 (due 10/26) |

10/18 | lecture14.pdf | Homework Set 4: Problems 7-8 (due 10/26) |

10/23 | lecture15.pdf | Homework Set 5: Problem 1 (due 11/11) |

10/25 | lecture16.pdf | Homework Set 5: Problems 2-3 (due 11/11) |

10/30 | lecture17.pdf | Homework Set 5: Problems 4-6 (due 11/11) |

11/01 | lecture18.pdf | Homework Set 5: Problems 7-8 (due 11/11) |

11/06 | lecture19.pdf | start preparing for the midterm exam on 11/13:
midterm02-practice.pdf Solutions are posted below. Only consult them after having worked through the problems. |

11/08 | review | continue preparing for the midterm exam next class |

11/15 | lecture20.pdf | Homework Set 6: Problems 1-3 (due 12/7) |

11/27 | lecture21.pdf | Homework Set 6: Problems 4-7 (due 12/7) |

11/29 | lecture22.pdf | Homework Set 6: Problems 8-10 (due 12/7) |

12/04 | lecture23.pdf | start preparing for the final exam on 12/11:
final-practice.pdf Solutions are posted below. Only consult them after having worked through the problems. |

12/06 | review | continue preparing for the final exam on Tuesday |

## 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.

The following material will help you prepare for the exams.

- Midterm Exam 1: midterm01-practice.pdf, midterm01-practice-solution.pdf
- Midterm Exam 2: midterm02-practice.pdf, midterm02-practice-solution.pdf
- Final Exam: final-practice.pdf, final-practice-solution.pdf

## Sage

For more involved calculations, we will explore the open-source free computer algebra system Sage.

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.)