MAS140/151/152/153/156/161: Engineering Mathematics, 2019–2020

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Specific course pages

You may prefer a specific page focussing on just one module:


Staff information

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.

Here is a sheet of information for teaching staff.

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 Elizabeth W (module leader) or James (webmaster) or Neil D with any more directed comments.

Course Information

This module is a 20-credit (MAS140) / 20-credit (MAS151) / 20-credit (MAS152) / 20-credit (MAS153) / 20-credit (MAS156) / 15-credit (MAS161), 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:

In addition, you should be working on exercises from the exercise sheets in your own time.

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.

Full-class lectures

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

Semester 1

These will be held on Wednesdays in weeks 1, 3 and 4, at 1pm in Dainton LT1 (MAS140) / Fridays in weeks 1, 3 and 4, at 12pm in Hicks LT1 (MAS151) / Mondays in weeks 1, 3 and 4, at 1pm in Diamond LT4 (MAS152) / Wednesday in week 1, at 1pm in Dainton LT1;
Friday in week 3, at 11am in the SU auditorium;
Friday in week 4, at 11am in Stephenson LT1 (MAS153) / (for aerospace engineers), Tuesdays in weeks 1, 3 and 4, at 1pm in Alfred Denny LT2; (for electrical engineers), Mondays in weeks 1, 3 and 4, at 5pm in Hicks LT1 (MAS156) / Mondays in weeks 1, 3 and 4, at 5pm in Hicks LT1 (MAS161).

Semester 2

These will be held on Thursdays in weeks 1 and 8, at 1pm in Arts Tower LT4 (MAS140) / Tuesdays in weeks 1 and 8, at 12pm in Hicks LT1 (MAS151) / Mondays at 2pm in weeks 1 (in Arts Tower LT4) and 8 (in Alfred Denny LT2) (MAS152) / Thursdays in weeks 1 and 8, at 1pm in Arts Tower LT4 (MAS153) / Mondays in weeks 1 and 8, at 12pm in Diamond LT1 (MAS156) / Mondays in weeks 1 and 8, at 12pm in Diamond LT1 (MAS161).

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

Semester 1Semester 2
Week 1 Notes (MAS140)
Notes (MAS151)
Notes (MAS152)
Notes (MAS153)
Notes (MAS156)
Notes (MAS161)
Notes (MAS140)
Notes (MAS151)
Notes (MAS152)
Notes (MAS153)
Notes (MAS156)
Notes (MAS161)
Week 3 Notes (MAS140)
Notes (MAS151)
Notes (MAS152)
Notes (MAS153)
Notes (MAS156)
Notes (MAS161)
Week 4 Notes (MAS140)
Notes (MAS151)
Notes (MAS152)
Notes (MAS153)
Notes (MAS156)
Notes (MAS161)
Notes (MAS140)
Notes (MAS151)
Notes (MAS152)
Notes (MAS153)
Notes (MAS156)
Notes (MAS161)

Semester 1 Reading Week

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.

Course Materials

Notes and Exercises

Semester 1
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

Video Lectures

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:

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.

playlist image 1Functions playlist image 2Differentiation playlist image 3Complex numbers playlist image 4Vectors
playlist image 5Integration playlist image 6Matrices playlist image 7Differential equations playlist image 8Laplace Transforms

Problem Classes

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

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
Week 5 Differentiation Rules
Inverse Function Rule
Week 6 Parametric, Implicit
Maclaurin Series
Week 7 l'Hopital
Partial Differentiation
Week 8 Partial Second Derivatives
Complex Numbers
Week 9 Argand Diagram
Euler's Relation
Week 10 De Moivre
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
Week 5 Matrix Multiplication
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

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!

For staff, there is a wiki page for sharing problem solutions.


Support helpline (for nonmathematical questions)

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

You will receive a response as quickly as possible. This e-mail is checked only between 8:30am and 4pm from Monday to Friday, and you will not receive a response outside these times. It may take longer to receive a response at peak times, particularly at the start of term. Please include your module code (MAS140/151/152/153/156/161) in the title of any emails you send.

Discussion board (for mathematical questions)

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.

Exam matters

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.

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

Resit exams

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).

Interesting Extras

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