MAS152: Essential Mathematical Skills & Techniques, 2016–2017

Module image


Course Information

This module is a 20-credit, year-long module which covers the mathematics you will need for the first year of your degree. Each week you will watch some short online video-lectures, each followed by a quick test, attend two problem classes to discuss problems related to the videos and work on exercises from exercise sheets in your own time.

This module is assessed by

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 Mondays at 2pm in weeks 1, 4, and 8 in St George's ChurchMondays at 4pm in weeks 1 and 8 in Diamond LT1.

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

Semester 1Semester 2
Week 1 Notes Notes
Week 4 Notes
Week 8 Notes Notes

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:

If it doesn't work, try using a different browser, or failing that a different computer or device altogether. Make sure Javascript is enabled!

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

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 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
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

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.


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.

Please include your module code (MAS152) 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. The relevant module code for 2010-11 and earlier is MAS140, which had two exams, one per semester.

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

Interesting Extras

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