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BScMathematics with Teaching

Why this course?

This joint Honours degree covers the curriculum of the BSc Honours Mathematics degree, plus the education theory and classroom experience required for recognition by the General Teaching Council for Scotland.

In four years, you’ll gain a joint Honours degree along with a professional teaching qualification and will be qualified to enter the probationary year as a teacher of mathematics in Scottish secondary schools.

Students on the BSc (Honours) in Mathematics course for the first two years can transfer to the Mathematics with Teaching course guaranteed (subject to progress requirements) for the start of 3rd year.

What you’ll study

Years 1 & 2

You’ll follow the same curriculum as the BSc (Honours) in Mathematics. Part-time study is possible. In addition to the study of core mathematical methods, you’ll learn calculus, geometry, applied analysis, mechanics, numerical analysis probability and statistics.

Year 3

One half of the course is focused upon education with input from staff in the Faculty of Humanities & Social Sciences. You’ll also undertake work placements in schools.

Education classes start in late August at the beginning of Year 3. If you realise that teaching is not for you, it is possible to transfer to the Honours degree course in Mathematics.

Year 4

Again the course is split between Mathematics & Statistics and Education. Mathematics-based classes are contained in semester one and with the final semester devoted to topics in Education and school experience.


You’ll have access to well-equipped, modern computing laboratories and teaching rooms, as well as 24-hour access to an advanced computer information network and a sophisticated virtual e-learning environment. We have also an undergraduate common room which gives you a modern and flexible area that's used for individual and group study work, and is also a relaxing social space. 

Work placement

You'll spend parts of the course on placement in a school within Scotland, working throughout the full working day, attending school on staff in-service days and being continually assessed while there.


Accredited by the Institute of Mathematics and its Applications for the purpose of meeting in full the educational requirement for chartered status.

Accredited by the General Teaching Council for Scotland.

Course content

Current students are taking the following classes, and we expect the syllabus to be similar to this in future years.

Year 1

Introduction to Calculus
You'll study the basic concepts and standard methods of mathematical notation and proof, polynomial equations and inequalities, sequences and series, functions, limits and continuity, differentiation and integration.
Applications of Calculus

The fundamental concepts of calculus (differentiation and integration) presented in Applications of Calculus will be examined in more detail, extended to a larger class of functions by means of more sophisticated methods, including an introduction to complex numbers and variables, all demonstrated in application to practical problems including solving basic first and second-order differential equations.  

Geometry & Algebra with Applications

This class will introduce you to vectors and matrices, along with the idea of mathematical modelling through their application to real-world problems.

Statistics & Data Presentation

Some basic ideas and techniques of statistics will be presented while introducing some essential study skills, allowing you to develop and practice personal and technical skills eg self-study, teamwork, analysing data, writing reports and making presentations.


Applications of Mathematics

This class will introduce you to a range of interesting applications and explain the mathematics behind them.

Year 2

Linear Algebra & Differential Equations

This class will introduce you to the basic ideas of linear algebra, such as matrices and determinants, vector spaces, bases, eigenvalues and eigenvectors. You'll study various standard methods for solving ordinary differential equations and understand their relevance.

Advanced Calculus

Basic ideas, techniques and results for calculus of two and three variables, along with differentiation and integration over curves, surfaces and volumes of both scalar and vector fields will be presented.

Applicable Analysis

This class will give a rigorous treatment of convergence of sequences and infinite series of real numbers and of continuity, differentiability and integrability of functions of a real variable, and will illustrate the importance of these concepts in the analysis of problems arising in applications.

Probability & Statistical Inference

Presentation of the basic concepts of probability theory and statistical inference will be covered to provide you with the tools to appropriately analyse a given data set and effectively communicate the results of such analysis.

Introduction to Newtonian Mechanics

This class will develop your appreciation of the basic concepts of force, momentum and energy, and of Newton’s laws of motion and will equip you to apply these concepts to model physical systems, in particular the orbital motion of bodies.

Mathematical & Statistical Computing

This class will introduce you to the R computing environment. It'll enable you to use R to import data and perform statistical tests, allow you to understand the concept of an algorithm and what makes a good algorithm and will equip you for implementing simple algorithms in R.

Year 3

Linear Algebra

Here we'll introduce basic algebraic structures, with particular emphasis on those pertaining to finite dimensional linear spaces and deepen your understanding of linear mappings. We'll also provide an introduction to inner product spaces and bilinear forms.

Differential Equations

We'll introduce you to analytical methods for solving ordinary and partial differential equations so you'll develop an understanding along with technical skills in this area.

Pedagogy & Placement Learning
Pedagogy & Curriculum Mathematics

Optional classes

Complex Variables & Integral Transforms

This class will introduce functions of a complex variable, define concepts such as continuity, differentiability, analyticity, line integration, singular points, etc. It'll examine some important properties of such functions, and consider some applications of them, eg conformal mappings, and the evaluation of real integrals using the Residue Theorem. It'll also introduce you to Fourier and Laplace transform methods for solving linear ordinary differential equations and convolution type integral equations.

Applicable Analysis

We'll introduce you to the basic theory and applications of metric spaces, normed vector spaces and Banach spaces, inner product spaces and Hilbert spaces, and bounded linear operators on normed linear spaces.

Inference & Regression Modelling

This class will:

  • review the concepts of probability distributions and how to work with these
  • present approaches to parameter estimation, focusing on maximum likelihood estimation, bootstrap estimation, and properties of estimators
  • present hypothesis testing procedures, including classical likelihood ratio tests and computer-based methods for testing parameter values, and goodness-of-fit tests.
  • introduce and provide understanding of the least squares multiple regression model, general linear model, transformations and variable selection procedures
  • present use of R functions for regression and interpretation of R output
Mechanics of Rigid Bodies & Fluids

This class will:

  • convey the generalisation of the mechanics of single-particle systems to many-particle systems
  • convey the central ideas of a continuum description of material behaviour and to understand relevant constraints
  • ground students in the basic principles governing three-dimensional motions of rigid bodies
  • convey how the ideas of continuum theory are applied to static and inviscid fluids.
Numerical Analysis

This module will motivate the need for numerical algorithms to approximate the solution of problems that can't be solved with pen and paper. It'll develop your skills in performing detailed analysis of the performance of numerical methods and will continue to develop your skills in the implementation of numerical algorithms using R.

Stochastics & Financial Econometrics

You'll be introduced to the basic concepts of random phenomena evolving in time, from two complementary points of view: probabilistic modelling and data-driven analysis. Presentation of underlying ideas of simple stochastic processes, time series models, and the associated probability theory and statistical techniques will be covered. In addition to applications of the methods to financial and economic systems, including modelling, data analysis, and forecasting.

Year 4

Optional classes

Modelling & Simulation with Applications to Financial Derivatives

Here you'll get an introduction to ideas in mathematics and statistics that can be used to model real systems, with an emphasis on the valuation of financial derivatives. This module places equal emphasis on deterministic analysis (calculus, differential equations) and stochastic analysis (Brownian motion, birth and death processes). In both cases, in addition to theoretical analysis, appropriate computational algorithms are introduced. The first half of the class introduces general modelling and simulation tools, and the second half focuses on the specific application of valuing financial derivatives, including the celebrated Black-Scholes theory.

Applicable Analysis 3

This class will present the main results in Functional Analysis, give an introduction to linear operators on Banach and Hilbert spaces and study applications to integral and differential equations.

Statistical Modelling & Analysis

This class will provide you with a range of applied statistical techniques that can be used in professional life.

Fluids & Waves

You'll be introduced to the theory of Newtonian fluids and its application to flow problems and the dynamics of waves on water and in other contexts.

Finite Element Methods for Boundary Value Problems & Approximation

You'll be presented with the basic theory and practice of finite element methods and polynomial and piecewise polynomial approximation theory.

Applied Statistics in Society

You'll be introduced to a range of modern statistical methods and practices used in industry, commerce and research, and will develop skills in your application and presentation.

Mathematical Biology & Marine Population Modelling

Here you'll learn the application of mathematical models to a variety of problems in biology, medicine, and ecology. It'll show the application of ordinary differential equations to simple biological and medical problems, the use of mathematical modelling in biochemical reactions, the application of partial differential equations in describing spatial processes such as cancer growth and pattern formation in embryonic development, and the use of delay-differential equations in physiological processes. The marine population modelling element will introduce the use of difference models to represent population processes through applications to fisheries, and the use of coupled ODE system to represent ecosystems. Practical work will include example class case studies that will explore a real-world application of an ecosystem model.

Mathematical Introduction to Networks

This class will demonstrate the central role network theory plays in mathematical modelling. It'll also show the intimate connection between linear algebra and graph theory and how to use this connection to develop a sound theoretical understanding of network theory. Finally, it'll apply this theory as a tool for revealing structure in networks.


In mathematics & statistics, knowledge, understanding, and subject-specific skills are assessed by coursework, assignment, reports, presentations and written examinations.

The education element of the course includes practical time observing and teaching in school classrooms.

Learning & teaching

The following teaching methods are used in Mathematics & Statistics: lectures (using a variety of media including electronic presentations and computer demonstrations), tutorials, coursework and projects.

You’ll also learn through structured group work in problem solving and collaborative student presentations.

On completion of the programme, you’ll be able to:

  • demonstrate knowledge in the main areas of mathematics and the initial teacher education
  • show an understanding of the principal mathematical and educational theories, and a critical understanding of one or more specialised areas
  • demonstrate skills in calculation
  • develop and evaluate logical arguments, presenting them and their conclusions clearly and accurately
  • demonstrate problem solving skills, for example, abstracting the essentials of problems, formulating them mathematically and finding appropriate solutions
  • undertake a critical analysis of data and draw conclusions from the data
  • demonstrate a range of general skills, including IT competency

Entry requirements

Minimum grades

Required subjects are indicated following minimum accepted grades.


Year 1 entry: AABB (Maths A, *English C, Advanced Higher Maths recommended) 

Advanced Highers

Year 2 entry: AB (Maths A, Higher *English C) 

A Levels

Year 1 entry

Minimum entry requirements: BBB (Maths B)

Typical entry requirements: ABB

Year 2 entry

Minimum entry requirements: ABB (two Maths subjects AB, *GCSE English Language C and English Literature C) 

Typical entry requirements: AAA

International Baccalaureate

Year 1 entry: 32

Year 2 entry: 34 (Maths HL6, *English SL6) 


Year 1 entry: relevant HNC with strong mathematical content, B in Graded Unit

Year 2 entry: not offered

Please note

*General Teaching Council minimum English requirement; preference is likely to be given to applicants offering higher grades

Additional information

  • deferred entry accepted 

Widening access

We want to increase opportunities for people from every background. Strathclyde selects our students based on merit, potential and the ability to benefit from the education we offer. We look for more than just your grades. We consider the circumstances of your education and will make lower offers to certain applicants as a result.

Find out if you can benefit from this type of offer.

International students

Find out entry requirements for your country.

Degree preparation course for international students

We offer international students (non EU/UK) who do not meet the entry requirements for an undergraduate degree at Strathclyde the option of completing an Undergraduate Foundation year programme at the International Study Centre. To find out more about these courses and opportunities on offer visit or call today on +44 (0) 1273 339333 and discuss your education future.

You can also complete the online application form, or to ask a question please fill in the enquiry form and talk to one of our multi-lingual Student Enrolment Advisers today.

Fees & funding

How much will my course cost?


  • 2017/18 - £1,820

Rest of UK

  • 2017/18 - £9,250

Bachelor degrees at Strathclyde will cost £9,250 a year, but the total amount payable will be capped at £27,750 for students on a four-year Bachelors programme. Students studying on integrated Masters degree programmes – for example MSci, MEng and MPharm – will pay £9,250 for the Masters year.


  • 2017/18 - £14,000

Additional fees 

Course materials & costs 

Class materials (lecture notes and exercise sheets) for the majority of Mathematics & Statistics classes are available free to download. For some classes, students may need access to a textbook.  Textbook costs are typically in the £20-60 price range.  These prices are dependent on format (e-book, soft or hardback) and whether bought new or second hand.  

PVG scheme (Protection of Vulnerable Groups)

Third-year Maths and Teaching students will need to pay for the full price of a PVG membership scheme.  

Other costs 

£40 returnable deposit for PRS handsets.

Please note: All fees shown are annual and may be subject to an increase each year. Find out more about fees.

How can I fund my studies?

Students from Scotland and the EU

If you're a Scottish or EU student, you may be able to apply to the Student Award Agency Scotland (SAAS) to have your tuition fees paid by the Scottish government. Scottish students may also be eligible for a bursary and loan to help cover living costs while at University.

For more information on funding your studies have a look at our University Funding page.

Students from England, Wales & Northern Ireland

We have a generous package of bursaries on offer for students from England, Northern Ireland and Wales


Graduates from this course will follow with the paid probationary year in teaching. This leads to employment opportunities within a variety of local authorities as a secondary school teacher.

How much will I earn?

The starting annual salary for a probationer teacher in Scotland is £21,867. After your probationary year, your salary will increase to £26,235 and increase an increment each year up to £34,887. A principal teacher can earn up to £49,086 while a headteacher can earn from £43,137 to £84,201.

If you teach in a remote school or on certain islands you may get an additional allowance: £1,928 for a distance island and £1,320 or £2,475 for a remote school.

Visit Teach Scotland website for more information.


Contact us


How to apply – 10 things you need to know

  1. All undergraduate applications are made through UCAS
    Go to the UCAS website to apply – you can apply for up to five courses.
  2. It costs £12 to apply for a course
    The cost is £23 for two to five courses.
  3. The deadline is 15 January each year
    This is the application deadline for most courses. However, please check the details for your particular course. View a full list of UCAS key dates.
  4. You might be asked to attend an interview
    Most of our courses make offers based on the UCAS application. However some might ask you to attend an interview or for a portfolio of work. If this is the case, this will be stated in the prospectus entry requirements.
  5. It’s possible to apply directly to Year 2
    Depending on your qualifications, you might be able to apply directly to Year 2 - or even Year 3 - of a course. Speak to the named contact for your course if you want to discuss this.
  6. There’s three types of offer
    • unconditional – you’ve already met our entry requirements
    • conditional – we’ll offer you a place if you meet certain conditions, usually based on your exams
    • unsuccessful – we’ve decided not to offer you a place
  7. You need to contact UCAS to accept your offer
    Once you’ve decided which course you’d like to accept, you must let UCAS know. You don’t need to decide until you’ve received all offers. UCAS will give you a deadline you must respond by.

    You’ll choose one as your firm choice. If the offer is unconditional or if you meet the conditions, this is the course you’ll study.

    You’ll also have an insurance choice. This is a back-up option if you don’t meet the conditions of your first choice.
  8. You don’t need to send us your exam results (Scotland, England & Wales)
    If you’re studying in Scotland, England or Wales, we receive a copy of your Higher/Advanced Higher/A Level results directly from the awarding body. However, if you are studying a different qualification, then please contact us to arrange to send your results directly.
  9. We welcome applications from international students

    Find out further information about our entry and English language requirements.

    International students who don’t meet the entry requirements, can apply for our pre-undergraduate programmes.

    There’s also an online application form.

    For further information:
  10. Here’s a really useful video to help you apply

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