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Essential mathematics 2

This module builds on the concepts and techniques in Essential mathematics 1 (MST124) to provide a complete foundation for higher-level mathematics studies. It introduces enjoyable and essential topics, such as proof, differential equations, mechanics and discrete mathematics, and extends your knowledge of calculus and its applications. You’ll also use mathematical software and learn how to typeset mathematics.

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OU qualifications are modular in structure; the credits from this undergraduate module could count towards a certificate of higher education, diploma of higher education, foundation degree or honours degree.

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Module

Module code

MST125

Credits

Credits

  • Credits measure the student workload required for the successful completion of a module or qualification.
  • One credit represents about 10 hours of study over the duration of the course.
  • You are awarded credits after you have successfully completed a module.
  • For example, if you study a 60-credit module and successfully pass it, you will be awarded 60 credits.
30

Study level

Across the UK, there are two parallel frameworks for higher education qualifications, the Framework for Higher Education Qualifications in England, Northern Ireland and Wales (FHEQ) and the Scottish Credit and Qualifications Framework (SCQF). These define a hierarchy of levels and describe the achievement expected at each level. The information provided shows how OU module levels correspond to these frameworks.
Level of Study
OU SCQF FHEQ
1 7 4

Study method

Distance Learning

Module cost

See Module registration

Entry requirements

See Entry requirements

Student Reviews

I came from Essential mathematics 1 (MST124), so I had a great foundation in many of the techniques required for...
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I started this module in February and it was a step up from Essential mathematics 1 (MST124). I enjoyed it...
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Module details Entry requirements Module registration Study materials

What you will study

There are twelve study units in this module.

In the first unit, you’ll revise and consolidate the mathematics taught in Essential mathematics 1 (MST124).

In the remaining study units you’ll cover the following topics.

  • Number theory: you’ll learn about divisibility properties of the integers. These have many practical applications, such as in cryptography.
  • Conics: these are the curves obtained by slicing a cone along a plane. Their applications include modelling the motion of planets and other heavenly bodies.
  • Geometric transformations: these include reflections, rotations and translations, and other similar ways of transforming geometric figures. You’ll use an algebraic approach, involving matrices and vectors.
  • Mathematical language and proof: you’ll look at how mathematical results can be stated clearly, and how they can be proved to be true.
  • Further calculus: you’ll extend your knowledge and skills in calculus.
  • Differential equations: these are equations that involve an unknown function and one or more of its derivatives. They are used extensively in applied mathematics to model a range of situations involving quantities that change.
  • Mechanics: you’ll analyse forces that act on stationary objects, and the motion of moving objects.
  • Eigenvalues and eigenvectors: these are numbers and vectors associated with matrices, which arise in a range of situations in both pure and applied mathematics.
  • Combinatorics: you’ll learn how to solve problems involving the positive integers, such as how many different ways there are to choose objects from a set. You’ll also study some interesting sequences of numbers, such as the Fibonacci sequence.

With a choice of three options of typesetting software, you’ll learn how to typeset mathematics.

You’ll work mainly from the module books, which are available in electronic formats as well as in print. You can view some of the worked examples in the books in an alternative video format, in which tutors work through and discuss the examples. You’ll use specially designed software applications to help you understand the concepts taught, and the same mathematics computer package as used in Essential mathematics 1 (MST124). There are many online interactive practice questions to help you consolidate your learning.

You can find the full content list on the Open mathematics and statistics website.

You will learn

In Essential mathematics 2 (MST125), you’ll further develop your mathematical skills and begin to develop new ones:

  • thinking logically about mathematical problems
  • expressing problems in mathematical language
  • using mathematical techniques to find solutions to problems
  • communicating mathematical ideas clearly and succinctly

Vocational relevance

The practical skills listed in the ‘You will learn’ section are important for any jobs that involve the use of mathematics. In addition, you’ll develop the following skills:

  • typesetting mathematics
  • using a computer algebra system
  • learning independently

Professional recognition

This module can help you to gain membership of the Institute of Mathematics and its Applications (IMA).

Teaching and assessment

Support from your tutor

Throughout your module studies, you’ll get help and support from your assigned module tutor. They’ll help you by:

  • Marking your assignments (TMAs) and providing detailed feedback for you to improve.
  • Guiding you to additional learning resources.
  • Providing individual guidance, whether that’s for general study skills or specific module content.
  • Facilitating online discussions between your fellow students, in the dedicated module and tutor group forums.

Module tutors also run online tutorials throughout the module. Where possible, recordings of online tutorials will be made available to students. While these tutorials won’t be compulsory for you to complete the module, you’re strongly encouraged to take part.

Assessment

The assessment details for this module can be found in the facts box.

This module includes a remote exam you will take at home or another suitable location. The exam will be invigilated online by ProctorU, a service based outside the UK and with whom you must agree to additional Terms of Service to study this module. Find out more about online invigilation.

Future availability

Essential mathematics 2 (MST125) starts twice a year – in January/February and October.

This page describes the module that will start in October 2024 and February 2025.

We expect it to start for the last time in October 2029.

Regulations

As a student of The Open University, you should be aware of the content of the academic regulations which are available on our Student Policies and Regulations website.

Course work includes:

3 Tutor-marked assignments (TMAs)
4 Interactive computer-marked assignments (iCMAs)
Examination


Entry requirements

You must have passed, or currently be studying, one of the following modules:

Or be able to provide evidence you have the required mathematical skills.

You can check you’re ready for MST125 and see the topics it covers here.

Talk to an advisor if you’re not sure you’re ready.

Preparatory work

You should aim to be confident and fluent with the concepts covered in the Are you ready? quiz here, and follow the advice in the quiz.

The key topics to revise include:

  • algebraic manipulation and solving equations
  • quadratics and parabolas
  • geometry and trigonometry
  • exponentials and logarithms.

Essential mathematics 1 (MST124) is ideal preparation.

Register

Start End England fee Register
01 Feb 2025 Sep 2025 £1818.00

Registration closes 09/01/25 (places subject to availability)

Register
This module is expected to start for the last time in October 2029.

Additional Costs

Study costs

There may be extra costs on top of the tuition fee, such as set books, a computer and internet access.

If your income is not more than £25,000 or you receive a qualifying benefit, you might be eligible for help with some of these costs after your module has started.

Ways to pay for this module

Open University Student Budget Account

The Open University Student Budget Accounts Ltd (OUSBA) offers a convenient 'pay as you go' option to pay your OU fees, which is a secure, quick and easy way to pay. Please note that The Open University works exclusively with OUSBA and is not able to offer you credit facilities from any other provider. All credit is subject to status and proof that you can afford the repayments.

You pay the OU through OUSBA in one of the following ways:

  • Register now, pay later – OUSBA pays your module fee direct to the OU. You then repay OUSBA interest-free and in full just before your module starts. 0% APR representative. This option could give you the extra time you may need to secure the funding to repay OUSBA.
  • Pay by instalments – OUSBA calculates your monthly fee and number of instalments based on the cost of the module you are studying. APR 5.1% representative.

Joint loan applications

If you feel you would be unable to obtain an OUSBA loan on your own due to credit history or affordability issues, OUSBA offers the option to apply for a joint loan application with a third party. For example, your husband, wife, partner, parent, sibling or friend. In such cases, OUSBA will be required to carry out additional affordability checks separately and/or collectively for both joint applicants who will be jointly and severally liable for loan repayments.

As additional affordability checks are required when processing joint loan applications, unfortunately, an instant decision cannot be given. On average the processing time for a joint loan application is five working days from receipt of the required documentation.

Read more about Open University Student Budget Accounts (OUSBA).

Employer sponsorship

Studying with The Open University can boost your employability. OU courses are recognised and respected by employers for their excellence and the commitment they take to complete. They also value the skills that students learn and can apply in the workplace.

More than one in ten OU students are sponsored by their employer, and over 30,000 employers have used the OU to develop staff so far. If the module you’ve chosen is geared towards your job or developing your career, you could approach your employer to see if they will sponsor you by paying some or all of the fees. 

  • Your employer just needs to complete a simple form to confirm how much they will be paying and we will invoice them.
  • You won’t need to get your employer to complete the form until after you’ve chosen your module.  

Credit/debit card

You can pay part or all of your tuition fees upfront with a debit or credit card when you register for each module. 

We accept American Express, Mastercard, Visa and Visa Electron. 

Mixed payments

We know that sometimes you may want to combine payment options. For example, you may wish to pay part of your tuition fee with a debit card and pay the remainder in instalments through an Open University Student Budget Account (OUSBA).


Please note: your permanent address/domicile will affect your fee status and, therefore, the fees you are charged and any financial support available to you. The fee information provided here is valid for modules starting before 31 July 2025. Fees typically increase annually. For further information about the University's fee policy, visit our Fee Rules.

This information was provided on 22/12/2024.

Can you study an Access module for free?

Depending on eligibility and availability of places, you could apply to study your Access module for free.

To qualify, you must:

  1. be resident in England
  2. have a household income of not more than £25,000 (or be in receipt of a qualifying benefit)
  3. have not completed one year or more on any full-time undergraduate programme at FHEQ level 4 or above or successfully completed 30 credits or more of OU study within the last 10 years

How to apply to study an Access module for free

Once you've started the registration process, either online or over the phone, we'll contact you about your payment options. This will include instructions on how you can apply to study for free if you are eligible and funded places are still available.

If you're unsure if you meet the criteria to study for free, you can check with one of our friendly advisers on +44 (0)300 303 0069, or you can request a call back.

Not eligible to study for free?

Don't worry! We offer a choice of flexible ways to help spread the cost of your Access module. The most popular options include:

  • monthly payments through OUSBA
  • part-time tuition fee loan (you'll need to be registered on a qualification for this option)

To explore all the options available to you, visit Fees and Funding.

What's included

Module books and website, including access to optional tutorials as well as computer applications, which you need to download.

You will need

We recommend a basic scientific Casio ‘Natural’ calculator such as the fx-83GTX PLUS or fx-85GTX PLUS. The module website includes a calculator guide with references to this series of calculator.

Note that the only type of calculator permitted in the final examination is a scientific calculator that does not offer algebraic manipulation, differentiation or integration, language translation or communication with other devices or with the internet. It should also not be programmable, and not have any retrievable information (such as databanks, dictionaries, mathematical formulas or text) stored in it.

Computing requirements

You’ll need broadband internet access and a desktop or laptop computer with an up-to-date version of Windows (10 or 11) or macOS Ventura or higher.

Any additional software, including any required to complete the online invigilated exam, will be provided or is generally freely available.

To join in spoken conversations in tutorials, we recommend a wired headset (headphones/earphones with a built-in microphone). You’ll need a webcam and microphone for the online invigilated exam.

Our module websites comply with web standards, and any modern browser is suitable for most activities.

Our OU Study mobile app will operate on all current, supported versions of Android and iOS. It’s not available on Kindle.

It’s also possible to access some module materials on a mobile phone, tablet device or Chromebook. However, as you may be asked to install additional software or use certain applications, you’ll also require a desktop or laptop, as described above.

If you have a disability

The OU strives to make all aspects of study accessible to everyone and this Accessibility Statement outlines what studying MST125 involves. You should use this information to inform your study preparations and any discussions with us about how we can meet your needs.

To find out more about what kind of support and adjustments might be available, contact us or visit our disability support pages.