England.

# Computational applied mathematics

This module develops the computer programming skills you need to find numerical solutions to mathematical problems. You’ll learn various numerical methods to solve problems encountered in applied mathematics, data science, engineering and the physical, biological and social sciences. Using the Python programming language, you’ll develop your understanding of programming structures, controls and data types and how to use libraries.

## Modules count towards OU qualifications

OU qualifications are modular in structure; the credits from this undergraduate module could count towards an honours degree.

## Module

MST374

### 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
3 10 6

## What you will study

Applying numerical methods to mathematical problems is an important skill for applied mathematicians. This module introduces mathematical methods commonly used in computer programming and uses Python to demonstrate these.

The module comprises ten units:

Unit 1: Getting started
You’ll start with an introduction to Python – solving equations of one variable using various iterative methods such as simple iteration, bisection methods and the Newton–Raphson method. You’ll also learn about the convergence of simple iterative schemes.

Unit 2: Interpolation
This unit introduces practical root-finding, Lagrange interpolation, least-squares curve fitting and splines.

Unit 3: Systems of linear equations
Unit 3 starts with solving linear equations by LU decomposition and then discusses ill-conditioning and applications in finding eigenvalues and least-squares regression analysis.

Unit 4: Data analysis
In this unit, you’ll learn methods for analysing big data, including singular value decomposition (SVD), principal component analysis (PCA), independent component analysis (ICA), and multidimensional scaling and k-means.

Unit 5: Linear programming
This unit mainly covers the simplex method and includes graphical formulations, the two-phase simplex method, duality and sensitivity analysis.

Unit 6: Systems of nonlinear equations
In this unit, you’ll learn the Newton–Raphson method for multivariate problems and quasi-Newton methods, such as Broyden’s method. The unit also further discusses the convergence of simple iterative schemes.

Unit 7: Nonlinear optimization
This unit starts with minimising functions of one variable before moving on to multivariate problems – including unconstrained minimisation and constrained minimisation with equality and inequality constraints.

Unit 8: Differential equations
This covers numerical differentiation and integration using Newton–Cotes formulae such as the trapezium and Simpson method. Initial value problems are solved using Euler and Runge–Kutta methods; boundary value and eigenvalue problems are solved using shooting methods.

Unit 9: Random processes
This unit introduces the basic theory of random variables, including random walks and Markov chains. The unit discusses Monte Carlo integration and finishes with the numerical solution to stochastic differential equations.

Units 10: Case studies
The final unit contains a series of case studies that consolidate ideas presented in the previous units and provide background to the end-of-module assignment.

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

## 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.

## Future availability

Computational applied mathematics (MST374) starts once a year – in October.

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

We expect it to start for the last time in October 2030.

## 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:

4 Tutor-marked assignments (TMAs)

## Entry requirements

There are no formal entry requirements to study this module.

However, you’ll need appropriate knowledge of mathematics. You’d normally prepare by having passed:

or their equivalent.

Are you ready for MST374?

## Register

Start End England fee Register
05 Oct 2024 Jun 2025 £1818.00

Registration closes 05/09/24 (places subject to availability)

This module is expected to start for the last time in October 2030.

## 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 12/07/2024.

## 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

You’ll have access to a module website, which includes:

• a week-by-week study planner
• course-specific module materials, including activities completed using the module software
• assessment details, instructions and guidance
• online tutorial access
• access to student and tutor group forums.

We provide printed books covering the module content, including explanations, examples and activities to aid your understanding of the concepts and associated skills and techniques. We also provide a printed module handbook.

## You will need

A scientific calculator.

### 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 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).

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 MST374 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.