**Strike action paused!** The strike action which caused significant disruption to the first half of the semester has been paused to allow for a Joint Expert Panel to be convened to make an in-depth assessment of the pension fund. It is highly unlikely that strike action will resume this academic year, although nothing is certain.

You can read more about the reasons for the dispute here, and you can also read an article I was asked to write for the Times Higher Education Supplement here.

This is the 2017-2018 course web page for MAS114: Numbers and Groups, Semester 2, which will be updated as the module progresses. For official course information, including timetabling and syllabus, please consult the list of current modules.

- James Cranch's MAS114 Semester 1 website

The notes for this semester will be distributed in the first lecture, and consist of a booklet with blank sections. The full notes, with blanks filled in, can also be downloaded below.

I have an office hour at Friday, 12 midday in my office (G9, Hicks Building). No appointment necessary.

The worksheets used by the tutors in the tutorial classes are below.

An additional sheet of questions on equivalence relations and Lagrange's theorem can be found below.

The problem booklet, given out in Week 1 of Semester 2, can be downloaded below. The problems are for working on outside of classes. The solutions can also be downloaded below, but solutions to homework problems will not appear until after the hand-in.

Below are the details of which problems were set as homework.

Week | Homework | Solution |
---|---|---|

1 | Chapter 1, Q1 | Model answer |

2 | Chapter 1, Q5 | Model answer |

3 | Chapter 1, Q9 | Model answer |

4 | (None set, no class) | |

5 | (None set, no class) | |

6 | (None set, probably no class) | |

7 | Chapter 2, Q9 & Q10 | Model answer |

8 | Chapter 3, Qs 4 & 5 | Model answer |

9 | Chapter 3, Q7 | Model answer |

10 | Chapter 5, Q3 | Model answer |

11 | None | - |

Due to strike action, some intended homework questions were never set. The solutions to these questions are below.

Below is a video on how to approach the colouring problems that feature in the course.

The online tests continue as in Semester 1. Please follow the link below. The tests will appear by Friday midday, and close at the end of the following Thursday at midnight.

The system does not use your standard university password. If you can't remember the password, or haven't used it yet, just enter your student ID and click 'Send password reminder' to be sent your password by email.

The MAS114 discussion board lies within MOLE, so you will be asked for your usual username and password. I will receive an automated email when you post.

As with most of your modules, the lectures will be recorded using the university's Encore system. You can find the lectures by logging into MOLE, or using the link below.

The 2016-17 and 2015-16 papers, with solutions, are below. In line with departmental policy, further past papers can be found on the School of Mathematics and Statistics' website but solutions will not be provided. If you want to ask about a question from one of these past papers, please use the discussion board.

Prior to 2011-12 this course was taught in two halves; the relevant code for the second semester material was MAS175.

I have prepared a summary sheet with the main definitions and results from Semester 2 of the course (which may be helpful for revision purposes), along with some advice for the exam.

Below are things related to material covered in the course which may be of interest to you.

~~Java applet for squares in a grid (as mentioned in the notes)~~Oops! This appears to no longer work.- How many triangles in a triangle? (related to Problem Booklet Chapter 1, Q2)
- Proof that 0.9999... = 1 (show)

Dr Sam Marsh

Room G9, Hicks Building

Telephone: 0114 2223792 (internal extension: 23792)

email: s.j.marsh@shef.ac.uk