Semester 1, 2018 – 2019

Here's the official information on this module.

I have a page of exam advice and also some revision notes for you.

Here is Number Theory as a Service, an online revision tool for the number theory sections of the course.

There are two of these a week:

- Monday 1pm–2pm, Dainton LT1
- Tuesday 1pm–2pm, Arts Tower LT4

Here, are the lecture notes from the course up until now, in one big file.

Here are the slides as used in the lectures. Please **don't
print** these: they have zillions of pages! There is more
material in the full notes above, anyway: these might just be nice to
click through on screen.

Lecture slides: | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 |
---|---|---|---|---|---|---|---|---|---|---|---|

12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 |

If you miss a lecture, then read the notes online. They should be online a good amount of time before each lecture. If there are any gaps which I've left to fill in during the lecture, see for yourself if you can do them. If you still don't understand, come to a surgery hour!

At problem classes you can ask for help with things you're stuck on. You will also be given exercises to work on in small groups.

Here are those sheets, and comments and solutions on the problems:

Class sheets: | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 |
---|---|---|---|---|---|---|---|---|---|---|---|

Comments/solutions: | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 |

Here is the booklet of exercises. Warning: it may be changed and added to over the course of the semester! Here also are the solutions of exercises so far.

You work on these on your own, and hand them at the beginning of each problems class (starting in week 2). At the next problems class, the staff will give you it back, with helpful comments.

One exercise each week is the *challenge problem*. If you attempt it, hand it in on a separate sheet of paper. I'll showcase one solution each week, if a nice one makes it to me!

Here is a list showing which problems I'm setting as homework:

Deadline | Problems |
---|---|

Homework 1 (due in Week 2) | Questions 1 and 2; challenge problem 4 |

Homework 2 (due in Week 3) | Questions 5 and 7; challenge problem 8 |

Homework 3 (due in Week 4) | Questions 9 and 12; challenge problem 13 |

Homework 4 (due in Week 5) | Questions 14 and 15; challenge problem 17 |

Homework 5 (due in Week 6) | Question 18; challenge problem 21 |

Homework 6 (due in Week 8) | Questions 22 and 23; challenge problem 25 |

Homework 8 (due in Week 9) | Questions 26 and 29; challenge problem 31 |

Homework 9 (due in Week 10) | Questions 32 and 34; challenge problem 35 |

Homework 10 (due in Week 11) | Questions 36 and 37; challenge problem 38 |

Challenge problem writeups: | 01 | 02 | 03 |
---|

These constitute 20% of the total course mark. Here is the link to the system:

You will need to use your usual login (something like `JDCranch1`), but get the system to send
you a special password.

Each week's test will be available immediately after the Tuesday lecture, at 2pm. The deadline is at 2am on Monday morning (that is, very late Sunday night).

Please try it *as soon as you can*. If you experience
technical difficulties,
please email me *early
on* so that we will have a chance to fix it in time: I definitely
won't be able to help you one hour before the deadline.

If you have a problem, you can see me in my office (G39c, Hicks Building) on Thursdays between 1pm and 2pm.

If those times are no good for you, then you can:

- catch me after lectures, or
- ask me by email, or
- ask me for an alternative time.

This will be at the end of the year, and will constitute the other 80% of the total course mark.

There are no required books for this module. Some recommended books are listed on the official information page.

Dr James Cranch

G39c Hicks Building

email: J.D.Cranch@shef.ac.uk

Some useful links:

- Links to official module information
- James Cranch's teaching page
- The School of Mathematics and Statistics
- My colleague Dr Scott Balchin will be teaching the second semester, and information about that will appear on his course page.