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Short courses

Advanced Mathematics


Course overview

This course refreshes and enhances your knowledge in mathematical topics to prepare you to enter the second year of an undergraduate engineering degree. You must already have an understanding of these concepts from completing an HNC/HND (or equivalent). You study algebra and calculus.

Summer University 2019 has now finished. We will be running a range of short courses as part of Winter University in January 2020. Our Winter University 2020 brochure will be available in November - please register your details here if you would like to receive a brochure when it is available.

Where you study

Teesside University, Middlesbrough Campus

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Course details

What you study

The module covers the mathematical skills and techniques of the first year of the engineering degree programme. The module content ensures direct entrants to the second year of the engineering degree programme have the depth of mathematical knowledge necessary to complete the course successfully.

This course can act as a bridging course for students whose knowledge of the techniques covered in Year 1 of the course is limited, and can also provide revision/consolidation/extension for any student who has studied an equivalent HNC/HND mathematics module.

Algebraic Manipulation and Techniques
Simplification of algebraic expressions, indices, removing brackets, factorisation. Quadratics, factorisation, completing the square. Linear and quadratic equations. Algebraic fractions, partial fractions.

Mathematical Functions
Rational, exponential, logarithmic, trigonometric; their properties and graphs.

Differential calculus: use of standard derivatives, product rule, quotient rule, function of a function rule.
Integral calculus: integration as the reverse of differentiation, use of standard integrals, definite integration, substitution rule, partial fractions and integrals, the parts rule.

Differential Equations
Linear first order differential equations, with applications to real-life situations.

How you are assessed

Module assessment comprises a formative and a summative element. The formative element is a series of self-assessment tutorial exercises. The summative element is a single end-of-course examination.


Entry requirements

Entry requirements

This module is intended:

- for direct entry students of the second year of an engineering degree programme
- to help returning students develop confidence in dealing with mathematical concepts and techniques relevant to engineering applications, and to consolidate and revise the basic techniques of algebra and calculus.



2019 entry

  • Length: Credits: 10, Level: 4, Fees: £50.00
  • Admission enquiries: 01642 342291