You may prefer a specific page focussing on just one module:
This version of the page is intended for teaching staff only. It contains all materials, including those which haven't yet been released to students. We wouldn't like to guarantee that these are always exactly the versions which will end up being released! Please don't share the URL with students.
You may wish to see the version intended for students.
Please take registers, and upload the results to the SoMaS admin system after each class.
There is a mailing list for all engineering teachers (particularly useful if you need teaching cover for a class). Feel free to contact Koji (module leader) or James (webmaster) with any more directed comments.
This module is a 20credit (MAS140) / 20credit (MAS151) / 20credit (MAS152) / 20credit (MAS156) / 15credit (MAS161), yearlong 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:
The module is assessed by:
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 fullclass lectures scheduled as below. Everyone should attend all of these lectures.
These will be held on Wednesdays at 1pm in weeks 1, 3, and 4 in Diamond LT3 (26th September, 10th & 17th October) (MAS140) / Mondays at 10am in weeks 1, 3 and 4 in Dainton LT1 (24th September, 8th & 15th October) (MAS151) / Mondays at 1pm in weeks 1, 3, and 4 in Stephenson Building LT1 (24th September, 8th & 15th October) (MAS152) / Tuesdays at 1pm in weeks 1, 3 and 4 in Diamond LT4 (for Aerospace) (25th September, 9th & 16th October); or Mondays at 5pm in weeks 1, 3, and 4 in Diamond LT4 (for Electrical) (24th September, 8th & 15th October) (MAS156) / Mondays at 5pm in weeks 1, 3, and 4 in Diamond LT4 (24th September, 8th & 15th October) (MAS161).
These will be held on .
Here are the notes for the lectures that have taken place.
Semester 1  Semester 2  

Week 1 
Notes (MAS140) Notes (MAS151) Notes (MAS152) Notes (MAS156) Notes (MAS161) 
Notes (MAS140) Notes (MAS151) Notes (MAS152) Notes (MAS156) Notes (MAS161) 
Week 3 
Notes (MAS140) Notes (MAS151) Notes (MAS152) Notes (MAS156) Notes (MAS161) 

Week 4 
Notes (MAS140) Notes (MAS151) Notes (MAS152) Notes (MAS156) Notes (MAS161) 
Notes (MAS140) Notes (MAS151) Notes (MAS152) Notes (MAS156) Notes (MAS161) 
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 1 at the following times:
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 (one in Semester 1 for MAS161).
If you don't think you're on the list, email masengineering@shef.ac.uk.
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.
For staff, there is a wiki page for sharing problem solutions.
There is an email address for getting support, masengineering@shef.ac.uk. This is usually the best way of getting help with nonmathematical problems, including problems with the videos and online tests.
It is normally staffed between 8:30am and 4pm. Please include your module code (MAS140/151/152/156/161) 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 login 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. The relevant module code for 201011 and earlier is MAS140, which had two exams, one per semester.
Here are some other possiblyuseful examrelated things:
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.