- Course information
- Full-class lectures
- Notes and exercises
- Video lectures
- Problem classes
- Contacts
- Exam matters
- Interesting extras

This module is a 20-credit, year-long module which covers the mathematics you will need for the first year of your degree.

Twice a week, you will go through the following cycle of events:

- Learn some material from some short online video-lectures;
- Take some quick online tests based on their content;
- Attend a problem class to discuss problems on the material.

The module is assessed by:

- an end of year exam in June (85% of the total mark)
- weekly online tests (15% of the total mark)

The videos and online tests only cover basic material, so in order to pass the course, you will have to engage fully with the problem sheets, the exercises, and past papers.

Here is a page of links to the official course information, including syllabus information.

There are some full-class lectures scheduled as below. Everyone should attend all of these lectures.

These will be held on Mondays at 10am in weeks 1, 3 and 4 in Dainton LT1 (24th September, 8th & 15th October).

These will be held on Thursdays at 3pm in weeks 1 and 7 in Diamond LT4.

Here are the notes for the lectures that have taken place.

Semester 1 | Semester 2 | |
---|---|---|

Week 1 | Notes | Notes |

Week 3 | Notes | |

Week 4 | Notes | Notes |

There is a reading week for the course in Week 7 of Semester 1. There will be no lectures or problem classes in this week, and you should use it to catch up on all the material from the course so far.

Semester 1 | |
---|---|

Notes | Exercises |

Functions | Exercises and worked solutions |

Differentiation | Exercises and worked solutions |

Maclaurin series and l'Hopital's Rule | Exercises and worked solutions |

Partial Differentiation | Exercises and worked solutions |

Complex Numbers | Exercises 1 and
worked solutions Exercises 2 and worked solutions |

Vectors | Exercises and worked solutions |

Semester 2 | |

Integration, Matrices, Differential equations | Exercises and worked solutions |

The video lectures and online tests are accessed at the link below.

**Note:** The login details are not the same as for your
University email account. You will need to enter your details and click 'Send
Password' to receive the password via email.

Videos and tests are normally released in Semester 2 at the following times:

- on Mondays at 9am, due in the following Thursday at 9am, and
- on Thursdays at 9am, due in the following Tuesday at 9am.

If it doesn't work, try using a different browser, or failing that a different computer or device altogether. Make sure Javascript is enabled! Please don't leave the tests until close to the deadline: it is unlikely that you will be able to get any technical help late in the evenings.

For revision purposes, the playlists for the completed sections so far are below.

The problem class groups with rooms are shown on the documents below. Each student attends two problem classes per week .

If you don't think you're on the list, email mas-engineering@shef.ac.uk.

- MAS151 tutorial groups (available only within the University)

The worksheets used by the tutors in the problem classes are available below.

Semester 1 | |
---|---|

Week 1 | Curve Sketching |

Domain and Range | |

Week 2 | Trigonometry and Binomial Expansions |

Inverse Functions | |

Week 3 | Hyperbolic Functions |

Differentiation | |

Week 4 | Differentiation Rules |

Inverse Function Rule | |

Week 5 | Parametric, Implicit |

Maclaurin Series | |

Week 6 | l'Hopital |

Partial Differentiation | |

Week 8 | Partial Second Derivatives |

Complex Numbers | |

Week 9 | Argand Diagram |

Euler's Relation | |

Week 10 | De Moivre |

Vectors | |

Week 11 | Scalar Product |

Vector Product | |

Week 12 | Vector Differentiation |

Semester 2 | |

Week 1 | Revision |

Integration by Inspection | |

Week 2 | Integration by Substitution |

Integration by Parts | |

Week 3 | Further Integrals |

Definite Integration | |

Week 4 | Improper Integrals |

Matrices | |

Week 5 | Matrix Multiplication |

Determinants | |

Week 6 | More Determinants |

More Inverses | |

Week 7 | Systems of Equations |

Gaussian Elimination | |

Week 8 | Eigenvectors |

Differential Equations | |

Week 9 | Integrating Factors |

Second Order Linear | |

Week 10 | Particular Integrals |

Laplace Transforms | |

Week 11 | Laplace and Differential Equations |

Revision |

Some questions have stars next to them: these questions are usually a little harder, and usually contain material that's not examinable. However, doing them might still be good preparation for the exams!

There is also a revision sheet along the lines of a normal problems class sheet.

There is an email address for getting support, mas-engineering@shef.ac.uk. This is usually the best way of getting help with non-mathematical problems, including problems with the videos and online tests.

It is normally staffed between 8:30am and 4pm. Please include your module code (MAS151) in the title of any emails you send.

The discussion board is a forum for students to use to ask and answer (anonymously, if preferred) questions on the material for the course. The board lies in MOLE, so log-in with your usual username and password when asked.

This is usually the best way of getting help with mathematical problems.

There are past papers, with solutions, for the previous two years' exams below. According to departmental policy, we will not be providing solutions for other exams. However, you can find past papers from further back on the past exams page on the School of Mathematics and Statistics webpage.

- 2017–18: exam paper, solutions
- 2016–17: exam paper, solutions

Here are some other possibly-useful exam-related things:

- The formula sheet, which will be provided in the exam
- A university video on exam dos and don'ts

The resit, for those students who need it, will take place in August, and will follow the same model as the Semester 2 exam (three hours, twelve short and eight long questions; your online test scores will still count).

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

- Some material on matrices
- MASH (Mathematics and Statistics Help): a free service run by the University to provide support to students taking maths modules as a part of their degree, but who aren't maths students. Drop in sessions and appointments are available.
- Wolfram Alpha: a very useful mathematical 'knowledge engine'
- Notes on the dangers of backwards reasoning