phd computing and mathematics university of wolverhampton

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PhD Computing and Mathematics University of Wolverhampton

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Qualification.

PhD/DPhil - Doctor of Philosophy

University of Wolverhampton

AUG-24, SEP-24, OCT-24, NOV-24, DEC-24

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Course summary

Why choose this course?

PhD students at the School of Mathematics and Computer Science are supervised by academics who are leading experts in their particular area of expertise. At least one academic in each supervisory team will have a track record of successful supervisions.

The School of Mathematics and Computer Science prides itself on the levels of support provided to postgraduate research students in the course of their PhD journey. Our academics meet regularly with their supervisees, and work closely with them at all stages of the project, from inception to completion.

The University of Wolverhampton provides a collegiate research environment and first-class facilities to its PhD students, including a dedicated postgraduate research room, access to the University’s Harrison Learning Centre and leading databases in the electronic resources.

Postgraduate research students are encouraged to present their research to University academics and fellow PhD students at colloquia within the School of Mathematics and Computer Science, which provide an encouraging and friendly environment for students to sharpen their research and presentation skills.

Our postgraduate research students are afforded the opportunity to develop their research skills through participation in training events organised by the Faculty of Science and Engineering and the University’s Doctoral College.

Career Paths

Research degrees in the School of Mathematics and Computer Science can provide students with opportunities in a multitude of career paths, including academia, government, non-governmental organisations and the private sector.

Tuition fees

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£ 15,450 per year

Tuition fees shown are for indicative purposes and may vary. Please check with the institution for most up to date details.

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University of Wolverhampton, Wulfruna Street, Wolverhampton, Wolverhampton, WV1 1LY, England

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• Mathematics

113th out of 117 2

65th out of 65 2

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MSc Advanced Computer Science

Northumbria University, Newcastle

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PhD Computing and Mathematics

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PhD/DPhil - Doctor of Philosophy

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Why choose this course?

PhD students at the School of Mathematics and Computer Science are supervised by academics who are leading experts in their particular area of expertise. At least one academic in each supervisory team will have a track record of successful supervisions.

The School of Mathematics and Computer Science prides itself on the levels of support provided to postgraduate research students in the course of their PhD journey. Our academics meet regularly with their supervisees, and work closely with them at all stages of the project, from inception to completion.

The University of Wolverhampton provides a collegiate research environment and first-class facilities to its PhD students, including a dedicated postgraduate research room, access to the University’s Harrison Learning Centre and leading databases in the electronic resources.

Postgraduate research students are encouraged to present their research to University academics and fellow PhD students at colloquia within the School of Mathematics and Computer Science, which provide an encouraging and friendly environment for students to sharpen their research and presentation skills.

Our postgraduate research students are afforded the opportunity to develop their research skills through participation in training events organised by the Faculty of Science and Engineering and the University’s Doctoral College.

Career Paths

Research degrees in the School of Mathematics and Computer Science can provide students with opportunities in a multitude of career paths, including academia, government, non-governmental organisations and the private sector.

What students say

Its in a beautiful city with very low crime rate... Read more

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Applicants for a research degree shall normally hold either: a first or upper second class honours degree, or a master’s degree, or evidence of prior practice or learning that is accepted by the Dean of Research.

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£4,712 per year

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The fee mentioned is for 2023-24 entry and there may be slight increase in the fee for 2024-25 entry.

Students from EU

£15,450 per year

Students from International

The fee mentioned is for 2023/24 academic year and there may be a slight increase in the fee for 2024/25 entry.

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PhD in Computing and Mathematics

At university of wolverhampton.

Qualification

Next intake

16 December 2024

Entry Score

About the course

PhD students at the School of Mathematics and Computer Science are supervised by academics who are leading experts in their particular area of expertise. At least one academic in each supervisory team will have a track record of successful supervisions. The School of Mathematics and Computer Science prides itself on the levels of support provided to postgraduate research students in the course of their PhD journey. Our academics meet regularly with their supervisees, and work closely with them at all stages of the project, from inception to completion. The University of Wolverhampton provides a collegiate research environment and first-class facilities to its PhD students, including a dedicated postgraduate research room, access to the University's Harrison Learning Centre and leading databases in the electronic resources. Full-time (4 years)

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Start dates and prices

Course fees are indicative and should be used as a guide. to get an accurate price.

Duration: 4 Year (s)

Fees: GBP 15450

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If you aren't eligible for the above entry requirements, you might ant to explore pathway options at University of Wolverhampton . If you want to find out more, speak to our counsellors.

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601 st / 1250

117 th / 130

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Hand-Picked Top-Read Stories

Why you should or shouldn’t get a phd, what is self-plagiarism and how can you avoid it, what’s the difference between a dissertation and a thesis, trending tags, best mathematics online phd programs, table of contents hide, is a mathematics phd lucrative in the job market, examples of positions you can hold with a phd in mathematics, 1. university of wyoming: online phd in mathematics education, 2. bircham international university: doctor – mathematics, 3. the university of wolverhampton: phd postgraduate research in computing and mathematics, 4. edith cowan university: online mathematics phd, 5. university of sussex: mathematics phd.

A PhD in Mathematics is the highest academic degree that one can earn in the field of mathematics. The program normally takes four to five years on average, and it includes both coursework and research components. Students who earn a PhD in Mathematics typically go to excel at the highest level of careers such as professors or researchers at universities or other research institutes. The degree can also be beneficial for those who wish to work in the private sector, as many businesses value employees with advanced mathematical skills.

The quality of an online PhD in Mathematics is largely the same as a traditional on-campus PhD mathematics program, only that the online version can be completed entirely online. Students in the program complete most of the coursework and research with no need to attend on-campus classes, safe for a few meetings here and there depending on the university’s planning. The mathematics online PhD program is designed for those who want to earn their doctorate while continuing with their full-time commitments.

Yes. A PhD in Mathematics can be very lucrative in the job market today as many businesses and organizations value individuals with this type of advanced training and education. Professionals with a PhD in Mathematics often find employment in academia, research, or government. They may also work as consultants or private tutors. The earning potential for achievers with a PhD in Mathematics is very high. In fact, many individuals with this type of doctorate degree earn six-figure salaries these days.

This program will essentially widen your career opportunities, both in academics, public and private sectors. In the case of academia, you will spend your career first as a student and then as a professor teaching about your passion. Government organizations and private companies also offer plenty of opportunities for math PhD holders.

According to Glassdoor , the base annual pay for Math PhD holders in the USA, for example, is around 72,568 US dollars, with additional compensation of 23,614 US dollars, totaling 96,182 US dollars. However, the pay varies depending on several factors, including industry, years of experience, and location.

The US Bureau of Labor Statistics predicts that the demand for statisticians and mathematicians will increase by 31 percent over the next decade. The bureau predicts about 4,100 openings each year during this period.

One valuable benefit of a PhD mathematics program is that it allows you to pursue a very wide range of career options. This can be attributed to the fact that the core principles of mathematics, to a large extent, support all sciences.

The most common career paths for PhD in Mathematics holders are education, finance, scientific research, information and communication, government, and manufacturing.

Graduates of this program can easily thrive in following positions which also happen to be the most common.

• University tutor or professor: Most PhD in math holders end up teaching undergraduate students in the university. PhD students gain connections while studying and researching, and end up teaching in the same university. This path is also ideal for maths PhD online students that prefer to continue focusing on mathematical concepts and theories as part of their career. As a tutor or professor, one is responsible for imparting mathematical knowledge to students and conducting research in the field.
• Researchers: Some pursue careers as postdoctoral researchers at universities, private companies, or government agencies. This is a popular route because it provides opportunities for undertaking research, supervising others, collaborative work, and attending conferences.
• Finance: An online PhD in math program equips you with excellent analytical skills; hence, most mathematics PostDocs find a career in finance. This career path involves working with significant players in the financial world with specific job titles such as Risk Modeler, Investment Analyst, or Actuarial Analyst.

The table below shows a list of some of the top positions in this field alongside the corresponding median salaries.

Please note that these median salaries are not cast in stone. They keep changing from time to time, mostly upwards.

The best Mathematics Online PhD programs

Not all universities that offer a PhD in Mathematics have brought this program online. So this selection is only based on a comprehensive analysis of the universities that are already offering PhD mathematics programs online. Most importantly, e-learning is now embraced widely and any university that is yet to roll-out this new normal will comply sooner or later.

There is even more good news: It’s emerging that the number of students pursuing online learning programs is on the rise. In fact, the United States e-Learning market alone is expected to grow at a CAGR of 12 percent and reach 21.64 billion US dollars in the next few years. This growth plays a revolutionary role that will eventually tilt the higher learning ecosystem and influence many if not all universities and colleges to bring their courses online. Given the way the digital shift has already disrupted even the most rigid industries like manufacturing, it’s only a matter of time before we see a complete disruption across the education sector.

It’s important to note that some online mathematics PhD programs may offer limited topics, research, and dissertation scopes compared to campus-based programs. However, this does not make such programs inferior to the on-campus alternatives. All you need to do is find a program that meets your desires in terms of the career path you would like to pursue.

Here now are the best programs for an online PhD in Mathematics:

The University of Wyoming is a reputable institution that is ranked highly among the best universities by the US News and World Report . It offers online and on-campus bachelor’s, master’s, and doctoral programs.

The Online PhD in Mathematics Education program focuses on mathematical modeling, qualitative research, quantitative reasoning, associated geometry, and differential equations. Students of this program must also complete a preliminary exam and dissertation research in order to be considered for graduation.

Once you complete this online math PhD program, you can pursue a career as a math doctorate advisor, mathematics professor, or elementary education specialist. You can also work in the corporate world or government.

This PhD maths online program takes three years and is accredited by the Higher Learning Commission.

The program’s admission requirements include:

• Master’s degree
• GRE scores: 151 (verbal), 144 (quantitative), and 4.0 for analytical writing
• Three years of P-12 teaching or equivalent relevant professional experience
• Letter of intent, resume, scholarly writing sample, and three letters of recommendation.
• Online application
• Interview with program faculty

Intake dates are as follows:

Spring start

• Applications are due by September 1st
• Review of application completed on October 15th
• Communication of admissions by November 15th

Summer/ Fall start

• Applications are due by February 1st
• Review of application completed on March 15th
• Communication of admissions by April 15th

Bircham International University is committed to fulfilling the needs of students who prefer not to attend traditional on-campus classes. It offers online bachelor’s, master’s, and doctoral degree programs, as well as continuing professional and education diplomas.

The Doctor – Mathematics program evaluates the application of mathematics as a tool for scientists and engineers. It covers geometry, arithmetic, calculus, algebra, trigonometry, set theory, differential equations, and other mathematical topics.

This doctorate in mathematics program is divided into text book and thesis sections. The textbook portion is the largest and constitutes 70 percent whereas the thesis component contributes 30 percent of the program.

Admission requirements include:

• A master’s degree or an international equivalent with five years of study
• Copies of transcripts or relevant documents
• Curriculum Vitae
• ID card or passport
• Filled-out application form
• One ID-sized photo

Students can also transfer credits from other institutions as long as they are recognized by the university.

All the Bibliography books that students will need for the program are covered by the program fees and the University will send these books physically to the address given by the student. The books take anywhere between two to five weeks to arrive depending on your location.

Some of the sources and networks that students will be able to access include the American Mathematical Society, Association of Mathematics Teacher Educators, European Mathematical Society, and the International Council for Industrial and Applied Mathematics among many others.  These are all credible bodies, demonstrating the extent to which the university goes to ensure that students get the very best of mathematical knowledge at the highest level.

The University of Wolverhampton is committed to helping graduates and students thrive locally and beyond. It works closely with businesses in supporting development and innovation with forward-thinking talent.

The PhD Program takes four years under the supervision of academics who are high achievers  in their area of expertise. The school of Computer Science and Mathematics prides itself on its unwavering support to research students in their PhD journey.

PhD research students have the opportunity to develop research skills by participating in training events organized by the faculty and the university’s doctoral college.

Here are the essential entry requirements:

• First or upper second class degree
• Masters degree
• Evidence of learning or practice that is acceptable by the Dean of Research

The  program takes students through two important stages once the student is officially registered. The first stage is known as Progression, where students are required to prepare and submit a summary of their achievements through this period which takes 18 months. Additionally, they need to outline their research plans for the remaining part of the program. This paper should also be presented orally in a workshop format. The final stage is the Examination which is based on the thesis plus an oral examination.

Edith Cowan University (ECU) is a top public institution in Australia offering undergraduate and postgraduate programs. The university understands the different work arrangements, learning styles, locations, and family responsibilities and thus offers loads of online programs to help balance education and other commitments.

The Online Mathematics PhD concentrates on operations research, mathematical modeling, geostatistical modeling, bayesian statistics and modeling, and biostatistics.

The university offers state-of-the-art commuting facilities and emphasizes collaboration with government agencies, the private sector, and non-profit organizations. This program takes a duration of four years.

Entry requirements include:

• Master’s degree in research
• First class or upper second class bachelor’s degree
• Demonstrated capacity to conduct original PhD-level research
• English competency test

The University of Sussex is a top public research university in the United Kingdom. It was established in 1959 and received its royal charter in 1961. It offers high-class education to over 20,000 students representing more than 140 nationalities.

This Mathematics PhD program covers applied and theoretical mathematics, including geometry and topology, differential equations, mathematical biology, mathematical physics, probability and statistics, scientific computing, and numerical analysis.

The program takes four years for full-time and six years for part-time students. Applicants should submit their applications one month before the start date for UK students and three months before for international students.

Admission requirements:

• Master’s degree with 60% merit overall
• Upper second class undergraduate degree
• English proficiency test for International students

The program’s alumni describe it as the most challenging and rewarding experience. The supervisors are exceptional, which makes a significant contribution to the overall quality of the program as supervisors will always be a key element of any PhD program.

Most professionals agree that mathematics is not just any other field of study, it’s among the most important subjects that in fact acts as a foundation for many other areas of study. A PhD in mathematics, therefore, takes your scholarly value to the pinnacle of this most respected subject.

While demanding,  a PhD in Mathematics is not just another degree to add to your resume. It’s a sign that you have mastered one of the most difficult and challenging fields of study.  And the fact that students can pursue this competitive program online has made it not only easily accessible but also reasonably affordable for all ambitious mathematicians no matter their geographical location in the world.

PHD in Economics, Associate Professor, Department of Business Process Management, Faculty of Market Technologies IOM

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PhD Postgraduate research in Computer Science

Why choose this course?

The University of Wolverhampton prides itself on offering support and development opportunities for PhD Students in STEM. You will be able to network with postgraduates outside the University through training from the Doctoral College, while our School of Mathematics and Computer Science grants Teaching Skills Development among other CV-complimenting qualities. Upon receiving your award for your oral examination and thesis, you will be able to progress in the directions explored by many of our alumni – including academic, government, NGO and private work – or to apply yourself in a new position of your choosing.

What happens on the course?

The PhD programme in the School has the following three milestones:

Registration

Progression

Examination

Applicants who satisfy the entry requirements are encouraged to complete the online 'Expression of Interest' form. If the initial application is satisfactory, a conditional offer will be issued and a potential supervisor will be allocated who will provide guidance on the research proposal development.

An interview will take place when the final draft of the research proposal is submitted for approval. The granting of the interview does not imply that the applicant will necessarily be admitted to a research degree programme.

Subject to the satisfactory interview and that the Faculty Research Committee (FRC) is satisfied that: a) the research proposal is sound and has the potential to deliver a postgraduate research award; and b) the proposal is appropriately resourced, the applicant will be admitted to the research degree programme.

All students who wish to study for a PhD are required to complete a progression within 18 months (for full-time students) or 36 months (for part-time students).

The student at the progression needs to produce a paper which summarises his/her achievements on the research programme and outlines future research plans (including research methods), and conduct an oral presentation of the paper at a workshop set up for the progression purpose.

An independent assessor, nominated by the FRC, reviews the paper produced, together with supervisors’ assessment, the student’s presentation and other evidence. On this basis, the assessor will provide evaluative comments and recommendations to the FRC. Upon considering all aspects, the FRC may recommend that the student a) proceed as proposed; b) proceed subject to changes or amendments being made, addressing the concerns raised; c) be placed 'at risk'; or d) change the research degree originally sought.

Towards the end of the research programme, the student will be examined on the basis of a thesis and an oral examination (viva voce). Normally two qualified examiners are appointed, at least one of whom is external to the institution. If the student is a member of staff at the University, then a second external examiner will be appointed.

Following the oral examination, the examiners will make recommendations to the University’s Research Award Sub-Committee (RASC) whether the research degree sought can be awarded.

Potential Career Paths

Research degrees in the School of Mathematics and Computer Science can provide students with opportunities in a multitude of career paths, including academia, government, non-governmental organisations and the private sector.

Additional Information

Everything you need to know about this course!

Why Wolverhampton?

The University of Wolverhampton (UoW) is home to approximate 23,000 students. The UoW’s research and innovation activities have won the 2013 UK Knowledge Transfer Award, and the 2014 UK Collaborative IMPACT award. It is also the holder of the Athena Swan Bronze Award and the HR Excellence in Research Award.

What skills will you gain?

In addition to the regular supervision provided by supervisors, our PhD students will also be provided with training opportunities by the Faculty of Science and Engineering and the University’s Doctoral College.

University Research Conference – The University Research Conference is held in June for research active staff and PhD students to showcase their areas of research and exchange research initiatives. Research students are welcome to make presentations during their period of study. Research students are also encouraged to disseminate final results of their research prior to submission.

University Research Training - Students are encouraged to participate in training provided by the Doctoral College not only because of its intrinsic value but also because these sessions may facilitate meetings with post-graduates outside the school.

Teaching Skills Development - At the School of Mathematics and Computer Science, we understand that postgraduate research students wish to develop their academic CVs while with us. For this reason, research students are provided the opportunity to undergo teaching skills development. The School of Mathematics and Computer Science seeks to ensure, wherever possible, that PhD students have the opportunity to teach on relevant undergraduate modules.

Course Fees and Finance

The University is committed to a transparent fee structure , with no hidden costs, to help you make an informed decision. This includes information on what is included in the fee and how fees are calculated and reviewed

  Applicants for a research degree shall normally hold either:

 • a first or upper second class honours degree, or

 • a master’s degree, or

 • evidence of prior practice or learning that is accepted by the Dean of Research.

For an applicant wishing to pursue a Research Degree in the area of Computer Science, whose entry award was not delivered in English, or non-native speaker of English shall be required to demonstrate proficiency in English at least to the level of an IELTS score of 6.5 (Writing - 6.5 and no less than 6.0 in any other component) or its equivalent. 

Financial support for research study:

Before applying, you should consider carefully how you will finance your studies for the duration of your programme, including tuition fees, research support fees and living costs.

Government loans (Home Fee Status):

Government loans are available for postgraduate research students of up to £28,673, to cover fees and living expenses. More information can be found at Doctoral-loans website.

Studying in the UK: Guidance for EU students

For 2021/22 new entrants, EU, other EEA and Swiss nationals will no longer be eligible for home fee status and financial support from Student Finance England.

Self-funded:

We are able to take payments in instalments, to spread out the cost of your studies, and it is possible to switch between full-time and part-time modes of study. For more information go to How to pay.

Postgraduate Research Loyalty Discount:

To students progressing from an undergraduate programme and/or a taught postgraduate programme to a postgraduate research programme, where both courses are University of Wolverhampton Awards.

There is no time limit on how long ago you completed your degree and/or Masters level qualification, as long as the new award is at a higher level.

Research councils:

The UK Research and Innovation funds postgraduate study in all subject areas on a discretionary basis.

University Research Studentships:

Other sources:

Dennis Turner Opportunity Fund.

You can find more information on the University’s Funding, cost, fee and support pages.

01902 32 22 22

[email protected]

Order a prospectus

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Qualification, university name, postgraduate computer science and information technology courses at university of wolverhampton.

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• Computer Science and Information Technology
• Artificial Intelligence (AI)
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MSc Computer Science

University of wolverhampton.

The course will develop a depth of knowledge across several specialised and applied areas of Computer Science, such as Software Read more...

• 12 months Full time degree: £8,815 per year (UK)
• 2 years Part time degree: £4,408 per year (UK)

MSc Information Technology Management

This course is ideally suited to you if you have limited, or no experience of IS/IT management or if you are an existing IS/IT Read more...

• 1 year Full time degree: £8,815 per year (UK)

MSc Cyber Security

The exponential increase in mobile devices, converged applications and Cloud technologies, initiatives such as Bring your Own Device (BYOD) Read more...

MSc Computer Science with Professional Practice

MSc Computer Science with Professional Practice offers a unique opportunity for international and home students to gain relevant work Read more...

• 14 months Full time degree: £9,794 per year (UK)

MSc Cyber Security with Professional Practice

MSc Cyber Security with Professional Practice offers a unique opportunity for international and home students to gain relevant work Read more...

• 18 months Full time degree: £9,794 per year (UK)

PhD Postgraduate research in Computer Science

The University of Wolverhampton prides itself on offering support and development opportunities for PhD Students in STEM. You will be Read more...

• 4 years Full time degree: £4,712 per year (UK)
• 8 years Part time degree: £2,356 per year (UK)

Business Analytics MSc

Business Analytics, which is shaping today’s businesses in dramatic ways, is the process of gathering, analysing and making business Read more...

• 1 year Full time degree: £11,550 per year (UK)
• 2 years Part time degree: £5,918 per year (UK)

PhD Postgraduate research in Library and Information Management

PhDs in this area will be supervised by the Statistical Cybermetrics Research Group, a team of recognised experts in scientometrics, Read more...

MSc Data Science

The MSc Data Science is a conversion MSc, designed for students from a broad range of disciplines who wish to enhance their existing Read more...

• 14 months Full time degree: £8,815 per year (UK)
• 28 months Part time degree: £4,408 per year (UK)

MSc Artificial Intelligence

The MSc Artificial Intelligence (AI) is a conversion MSc, designed for students from a broad range of disciplines who wish to enhance Read more...

Online MSc Computer Science

An online master’s for ambitious individuals who may not have a background in computer science. The MSc Computer Science from The Read more...

• 14 months Online degree: £5,657 per year (UK)

Online MSc Computer Science with Artificial Intelligence

An entirely online master’s for forward-thinking individuals who may not have a background in computer science. The 100% online MSc Read more...

Online MSc Computer Science with Data Science

An entirely online master’s for proactive individuals who may not have a background in computer science. From infrastructure and education Read more...

PhD Computing and Mathematics

PhD students at the School of Mathematics and Computer Science are supervised by academics who are leading experts in their particular Read more...

• 4 years Distance without attendance degree: £4,712 per year (UK)

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BSc (Hons) Mathematics

Course modules.

This module covers some key techniques in the areas of calculus and linear algebra. Calculus topics include first and second order linear differential equations and partial differentiation. Linear Algebra concepts such as systems of linear equations and vector spaces are introduced.& nbsp; Prerequisite topics such as complex numbers and hyperbolic functions are also covered.& nbsp; You will be introduced to the Maple mathematical package, which is used extensively in industry and research worldwide to model and solve mathematical problems.

This module is perhaps the most important module in your entire degree as the mathematics covered here is the basis for every other mathematical topic you will study; the mathematics you will learn here is the foundation upon which all the mathematics in the rest of your course is built. This module dovetails with the mathematics you have studied in your A level or Foundation year courses. You will study the properties of a variety of different functions and extend the study of calculus from level 3. Here you will use differentiation and integration to solve more complex mathematical problems than you have seen before. You will also be introduced to linear algebra, using a variety of tools and techniques to solve problems using vectors and matrices. There is are plenty of opportunities to receive formative feedback on your mastery of the tools and techniques you will study in this module, and a small, early assessment on which you will receive detailed feedback to help you identify your mathematical strengths and weaknesses to ensure you maximise your capabilities.

Operational research (or Decision/Management mathematics) is one of the most useful branches of mathematics, applying various mathematical methods (modelling, statistical techniques and algorithms) to help make better decisions in order to improve or optimise some business objective function such as profit, cost or time. This module will introduce students to some of the most fundamental operational research techniques such as linear programming and network analysis which are used to solve many problems, including those related to logistics, manufacturing and transportation. You will learn how to apply the relevant techniques to solve well defined problems by hand, and also how to use software to help solve more complex problems.

This is a fundamental course in your mathematics education. It is designed into three parts. The first part consists of 24 hours of lectures over 12 consecutive weeks covering Number Theory. Number Theory is often referred to as the “queen of mathematics” and is one of its oldest branches. You will study topics which have their origins in ancient Greece and which have fascinated ancient mathematicians including Pythagoras, Euclid, Diophantus & Al-Khwarizmi and modern mathematicians including Euler, Fermat and Lagrange. You will also learn how this ancient subject has come to have hugely important applications in modern cryptography. The second part consists of 24 hours of lectures over 12 consecutive weeks on Set Theory. Set Theory underpins all of mathematics. You are already familiar with simple notions such as union and intersection of sets. One of the achievements of set theory is to provide a framework in which all mathematics can be formalised; in particular all mathematical objects can be conceived in terms of sets. In this module you will see how this is done. The third part of this module consists of 12 hours of essential employability and professionalism skills.

Mechanics is the epitome of mathematical physics: it describes and explains the behaviour of physical objects around us, from falling apples to orbiting planets. The first great achievement of Physics as a Science was Newton's understanding that the same laws describe both. The wide range of physical phenomena that can be explained from the laws of classical mechanics makes it a pillar of virtually all other scientific fields. This makes this topic one of the oldest and largest subjects in science, engineering and technology. This is an introductory module on Newtonian Mechanics. The module will include lectures on topics including kinematics and newton's laws as well as the option to conduct laboratory sessions where you can apply these ideas in a physical context.

This is an introductory course in probability & statistics and as such it assumes no prior knowledge of the subject. You may already be familiar with some of the topics covered from your previous education but be aware that the treatment of probability and statistics at University level is markedly different to its treatment at secondary level. This module introduces the basics of probability, descriptive statistics (including graphical methods) and inferential statistics (including hypothesis testing). You will also be given weekly laboratory classes using two statistical software packages, SPSS and R. SPSS is now being developed by IBM and is a widely used software package for statistical analysis in the social sciences. It is also used by survey companies, marketing organisations, government researchers amongst others. R is an open source programming language and software environment for statistical computing. It is widely used by statisticians and data miners for developing statistical software and data analysis.

This course extends the algebra and calculus studied in year 1. This module is designed in two separate streams. The first stream is on Discrete Mathematics. Discrete mathematics involves the study of structures which are discrete rather than continuous. It is often viewed as the foundation of computer science. The second stream is on Numerical Analysis. Numerical analysis is the area of mathematics that creates, analyses, and implements algorithms for solving numerically the problems of continuous mathematics.

This module extends some of the fundamental techniques of operational research from Level 4, and introduces some new operational research techniques to enable you to solve less well defined or more complex problems than those studied in Level 4.  The methods studied in this module are all designed to enable the solution of particular classes of business problem which are widely used in commerce and industry and many students report that they have found this module the most useful when undertaking their Industrial Placement year. Examples of techniques that may be explored in further depth are linear programming (to include sensitivity analysis for example) and network analysis (to include the process of crashing, or the Program Evaluation and Review Technique, for example).  Other potential topics are dynamic programming, game theory, inventory control, decision analysis, transportation and assignment algorithms.  You will have the opportunity for early feedback on your progress in this module as it has been designed with an early, small, assessment to help you guage your levels mastery of the tools and techniques you will need.

This course extends the algebra and calculus studied in year 1. It is designed into two streams. The first stream consists of 24 hours of lectures over 12 consecutive weeks covering Group Theory. Group Theory is the mathematical study of symmetry. This sounds a bit vague but it’s this vague definition that makes group theory such a broad and deep subject. It has its origins in the work of Galois, Lagrange and Cauchy in the 1800s. The second stream consists of 24 hours of lectures over 12 consecutive weeks on Differential Equations. The laws of physics are generally written down as differential equations. Therefore, all of science and engineering use differential equations to some degree. Understanding differential equations is essential to understanding almost any mathematical model.

This course extends the analysis and calculus studied in year 1. It is designed into two streams. The first stream consists of 24 hours of lectures over 12 consecutive weeks covering Real Analysis. In real analysis we extend and reinforce the calculus and analysis studied in year 1. The second stream consists of 24 hours of lectures over 12 consecutive weeks on Complex Analysis. Complex analysis involves the analysis of functions of a complex variable. It is a rich and deep subject with applications in fluid mechanics and engineering as well as within real analysis. Real Analysis - The Real Numbers, boundedness, supremum, infimum, completeness of the reals, the Archimedean property, the density of the rationals, defining the real numbers. - Sequences, partial sums, convergence, divergence, limit of a sequence, squeeze theorem, convergence criteria, subsequences. - Series, convergence, divergence, telescoping series, geometric series, harmonic series etc. Tests for convergence, comparison test, ratio test. - Continuity & amp; Differentiability, epsilon-delta limits, continuity, intermediate value theorem, differentiability, piecewise continuous functions, mean value theorem, Rolle& rsquo;s theorem. Complex Analysis -Review of Complex numbers: definition as an ordered pair, geometry in the complex plane, polar form, Euler& rsquo;s formula, roots of unity. -Set Theory in the Complex Plane: open/closed discs, boundary points, closure, annulus, bounded/unbounded, the Riemann Sphere, Stereographic Projection. -Complex Functions: limits, continuity, differentiability, holomorphicity, Cauchy-Riemann theorem, Laplace equation, Harmonic conjugates. -Complex Integration: curves, contours and simply connected domains, integration along curves and contours (path integral), ML-Inequality, fundamental theorem of contour integration, Cauchy-Goursat and deformation theorem, Cauchy& rsquo;s Integral Formula. -Series: Taylor and Laurent series, Laurent& rsquo;s theorem, poles, removable and essential singularities. -Cauchy& #39;s Residue Theorem: residue theory, the residue theorem, evaluation of real integrals (infinite and trigonometric).

This course extends the analysis and calculus studied in year 1. It introduces you to the hugely useful subject area of mathematical modelling. You will be introduced to the main concepts and tools within this subject as well as being introduced to the software package Matlab. Matlab is the industry standard package for mathematical modelling and is used in disciplines from finance to engineering to solve applied problems. Each week you will have 3 hours of lecture time and 1 hour of laboratory sessions using Matlab.

This course extends the probability and statistics studied in year 1. It will introduce you to the theory and practice of Linear Statistical Modelling and Survey Design. Linear statistical modelling statistical modelling where a response variable depends on one or more explanatory variables. Examples include, how well a patient responds to treatment, given their age and disease severity, or how different strains of corn compare when grown in various conditions. Survey design is a critical topic when determining the quality of survey based research. The potential for poor survey design is enormous whether intentional or not. Examples of poor survey design can be found in many real world spheres including political polling and readership surveys.

The final year project is the culmination of your studies. You will research an area of mathematics, statistics or operational research, usually related to the mathematical and/or statistical analysis of a real world problem under the supervision of an academic member of staff. It is this module that brings together many different aspects of your course, and you will use the professional and academic skills you have developed and apply these to a mathematical problem. Projects might involve: Survey design and analysis Analysing complex data using statistics Mathematical modelling related to a real world problem The history of mathematics The study of an aspect of pure mathematics not covered elsewhere in your course At the end of your project you will submit your research and attend a viva voce with academic staff representatives from the Mathematics department where you will present your research methodologies and findings and answer questions relating to your research.

This module is designed for you to prepare for your project. There are two parts in this module: • (Part 1) Project Management principles, methodologies, tools and techniques that may be used in any industry together with organisational and human resource factors are also included. In the Social and Professional area it offers the opportunity to synthesize the wider human and social dimensions of the course in terms of social, ethical, legal, and cultural issues in order to develop your awareness of concerns which will be relevant to your chosen pathway and future.. • (Part 2) research methodology: this part forms part of the project The overall aims are: • To prepare for the level 6 project • To introduce new technologies and research trends • To provide students with the skills to critically evaluate the benefits, drawbacks and pitfalls of leading edge techniques in their chosen field. • To give the student analytical skills to determine the effect of applying new techniques to existing practices • To give the student a good grounding in new research and commercial developments that can then be developed beyond their course.

This module will help you to develop knowledge and understanding of major techniques in calculus which will either extend topics you have covered previously or will be completely new to you. For example, you will learn further methods to solve differential equations (such as Fourier Transforms, Laplace Transforms, Reduction of Order, Variation of Parameters, Power Series, the Frobenius method…etc). You will also extend your knowledge of functions of multiple variables and/or integral calculus by studying a selection of topics which might include: multiple integration, absolute extrema, Lagrange Multipliers, surface integrals or complex integrals.

Operational research is the application of mathematics to business and management problems and is a skill sought after by employers. Many mathematicians in industry use some of the OR techniques covered in this module in their daily working lives. This module extends the material taught in 5MM021 Further Techniques in Operational Research. You will apply familiar and new OR techniques to practical problems, and you will use OR specific software to help with the formulation of solutions. This module introduces practical applications of operational research techniques previously studied in first and second year but also introduces some new methods that are in common use in industry today.  This module extends some of the topics into new areas, such as integer programming, goal programming and data envelopment analysis.  It also introduces new techniques, which may include queuing theory, simulation or soft systems analysis.  Appropriate operational research software will be used to help solve some of the problems that arise. This is a practical module, and you will solve real world, extensive problems in small groups, where you will apply some of the professional and teamworking skills you have learned elsewhere in your course.

This module extends the algebra you have learned in previous modules in the shape of the two applied areas of Coding Theory and Cryptography. Coding Theory is concerned with error detection and correction in transmitted data. It utilises tools from linear algebra and field theory to do this. Cryptography is concerned with securing digital communications. You may already be familiar with Diffie-Hellmann Key Exchange and the RSA algorithm from first year. Here we build on this material from an applied standpoint.

Multivariate statistics is a branch of statistics involving the observation and analysis of more than one outcome variable at the same time. There are various forms of multivariate analysis and in this module you will be learn about several. Cybermetrics aims to measure aspects of the World Wide Web to gain information about hyperlinks between pages. It encompasses many techniques including network visualisation and content analysis. In this module you will learn about these and more.

This module introduces some of the basic concepts of partial differential equations (PDEs) in the context of Fluid Dynamics. It is shown how PDEs may be used to model situations in a wide variety of situations including biology, finance and applied mathematics. The three important classes of second order PDE appropriate for modelling different sorts of phenomena are introduced and the appropriate boundary conditions for each of these are considered. Computational methods for solving PDEs will be studied and applied with the use of mathematical software (MATLAB). A solid background in the mathematical description of fluid dynamics will also be provided. This includes the derivation of the conservation laws (mass, momentum, energy) that describe the dynamics of fluids and their application to a remarkable range of phenomena including water waves, sound propagation, atmospheric dynamics and aerodynamics. The focus will be on deriving approximate expressions using (usually) known mathematical techniques that yield analytic (as opposed to computational) solutions and then using the computational methods studied to find numerical solutions. There will be weekly MATLAB workshops to apply the theory studied in lectures.

This module investigates the modern mathematical theory that was originally developed for the purpose of studying polynomial equations. The philosophy is that it should be possible to factorize any polynomial into a product of linear factors by working over a "large enough" field (such as the field of all complex numbers). Viewed like this, the problem of solving polynomial equations leads naturally to the problem of understanding extensions of fields. This in turn leads into the area of mathematics known as Galois theory. The basic theoretical tool needed for this program is the concept of a ring, which generalizes the concept of a field. The course begins with examples of rings, and associated concepts such as subrings, ring homomorphisms, ideals and quotient rings. These tools are then applied to study quotient rings of polynomial rings. The final part of the course deals with the basics of Galois theory, which gives a way of understanding field extensions.

Additional Information

Everything you need to know about this course!

Course Fees and Finance

The University is committed to a transparent fee structure , with no hidden costs, to help you make an informed decision. This includes information on what is included in the fee and how fees are calculated and reviewed

# Undergraduate part-time fees for 50% rate of study

• 96 UCAS points
• A Levels - grades BCD, including Maths at grade B
• BTEC L3 Extended Diploma or OCR Cambridge L3 Technical Extended Diploma - grade MMM
• Access to HE Diploma (60 credits) of which a minimum of 45 must be at Level 3 (96 UCAS point equivalence, minimum 45 credits at merit)

Use the UCAS Tariff calculator to check your qualifications and points

Students must usually have studied for a minimum of two years post GCSE level. However, we will consider applications from mature students who do not have two years of post-16 study, where they have relevant work experience. Please see http://wlv.ac.uk/mature  for further information.

If you've got other qualifications or relevant experience, please contact The Gateway for further advice before applying.

International entry requirements and application guidance can be found at http://www.wlv.ac.uk/international/apply

English language requirements also apply

Who accredits this course?

Institute of mathematics and its applications (ima).

"This programme will meet the educational requirements of the Chartered Mathematician designation, awarded by the Institute of Mathematics and its Applications, when it is followed by subsequent training and experience in employment to obtain equivalent competences to those specified by the Quality Assurance Agency (QAA) for taught masters degrees."

Tuition Fees Loan (Home Fee Status):

Most students will be able to apply for a loans to pay for these subject to eligibility. To find out more information please refer to the government Student Finance website.

Changes for EU students:

EU citizens living in the UK with 'settled' status, and Irish nationals living in the UK or Ireland, will still be classified as Home students, providing they meet the usual residency requirements, for more information about EU Settlement Scheme (EUSS) click here.

Self-funding:

If you don’t want to take out a loan to pay your fees or if you aren’t eligible to receive a loan, you might want to take advantage of the University’s scheme to pay by instalments: See How to pay.

Your employer, embassy or organisation can pay for your Tuition fees:

If your employer, embassy or organisation agrees to pay all or part of your tuition fees; the University will refer to them as your sponsor and will invoice them for the appropriate amount.

We must receive notification of sponsorship in writing as soon as possible, and before enrolment , confirming that the sponsor will pay your tuition fees.

Financial Hardship:

Students can apply to the Dennis Turner Opportunity Fund.

Bursaries and Scholarships:

In addition the University also offers a range of Bursaries and Scholarships packages

You can find more information on the University’s Funding, cost, fee and support pages.

01902 32 22 22

[email protected]

Order a prospectus

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