Mathematics Higher

What is special about this course?

This course is designed to develop existing knowledge of mathematics and make a useful contribution to logical thinking processes, problem solving and communicating solutions to problems. 

It builds on material in National 5/Intermediate 2 concentrating on the topics needed for study in higher education. Calculus, vector, exponetials and logarithms are introduced with an emphasis on problem solving and evaluation skills.

Entry requirements

  • National 5 Mathematics at C, or above, or equivalent

We will accept alternative work based qualifications or experience.  Please provide the details on your application form.

The Higher Mathematics course develops the following skills, knowledge and understanding:


  • understand and use a range of complex mathematical concepts and relationships
  • select and apply operational skills in algebra, geometry, trigonometry, calculus and statistics within mathematical contexts
  • select and apply skills in numeracy
  • use mathematical reasoning skills to extract and interpret information and to use complex mathematical models
  • use mathematical reasoning skills to think logically, provide justification or proof, and solve problems
  • communicate mathematical information with complex features


All students will need to purchase a copy of Higher Maths Student Book (Leckie).

How will I study my course?

  • Full Time
  • Part Time
  • Open Learning

You will learn through a combination of lectures and tutorials on campus.  Learning materials are also made available online via the university's virtual learning environment (VLE).

The final assessment for the course is a closed book examination.  You will be provided with ongoing support and practice to prepare you for this final assessment.

How long will my course last?

1 Year

Where can I study my course?

    • Inverness Campus

Start date



Fee information for part time Further Education courses

A Fee Waiver could be available to help with the payment of course fees depending on your personal circumstances, please check our Fee Waiver Policy to see if you are eligible.

Scottish students

Further Education (SCQF 1-6) level 



Part-time (per single Higher)



Rest of UK and International students 

Further Education (SCQF 1-6) level 


Part-time (per single Higher)


Fees are payable on enrolment each academic year.

Please contact if you have any further questions on fees.


Bursary or EMA (Educational Maintenance Allowance) if studying full time along with other subjects.

Additional costs

If you wish to study part time there is a cost of approximately £360 per subject. Some applicants may be eligible for a fee waiver.

Funding - Course fees (

What can I do on completion of my course?

Once you have successfully completed this course, you might like to consider careers in:

Higher Mathematics is often an essential entry requirement for further and higher education courses in a wide range of areas involving numerical skills and logical reasoning, including science, computing, engineering, accounting and more. If you are interested in further study or a career in any of these disciplines, Higher Mathematics is an excellent first step.

You may wish to progress from Higher Mathematics to the following courses:

  • HNC Applied Science (with other Science Qualifications)
  • BSc Environmental Science (with other Science Qualifications)
  • BSc BioScience (with other Science Qualifications)
  • BSc Geography (with other Science/Geography Qualifications)

Is there more information available online?

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Staff profile

John Ballantyne

I graduated from the University of Manchester with a PhD in Mathematics. After obtaining my PhD in 2011 I undertook research and lecturing for a number of degree programmes at the University of Manchester, before moving back to the Highlands (I’m originally from the Black Isle) in 2016 to take up my current post at UHI Inverness as a lecturer in mathematics. I’m the Technical Editor for the academic journal Computer Physics Communications. I am one of the authors of the CfE Advanced Higher Maths Student Book (2017, Leckie and Leckie).

I currently deliver Higher Mathematics and National 5 Applications of Mathematics. Although I now mainly focus on teaching, when I have time I still like to undertake research. I specialise in the subject of Group Theory – this concerns algebraic structures known as “groups”, which describe symmetries of mathematical objects.  This research has resulted in a number of publications in academic journals.

When I’m not at work you’ll probably find me on the golf course!

Apply for Mathematics Higher

Applications for this subject are currently closed.

We are delighted that you are thinking about studying at UHI Inverness. UHI Inverness operates a fair and open admissions system committed to equality of opportunity and non-discrimination. We consider all applications on merit and on the basis of ability to achieve, without discrimination on grounds of age, disability, gender identity, marriage and civil partnership, pregnancy and maternity status, race, religion and/or belief, sex, sexual orientation or socio-economic background. We welcome applications from all prospective students and aim to provide appropriate and efficient services to students with disabilities.