Module details for Engineering Science 2 


This module will provide an introduction to mathematics in the engineering context and introduce the mechanics of materials.


To provide the student with basic mathematical skills for engineering and the fundamentals of the mechanics of materials.

Learning Outcomes

By the end of this module the student should be able to:

1.  Demonstrate a working knowledge of selected topics from calculus, algebra, trigonometry, statistics and other branches of mathematics relevant to Civil/Structural Engineering

2.  Demonstrate the understanding of basic structural concepts

3.  Analyse simple structural elements

4.  Apply effectively appropriate quantitative tools and logical thinking to analyse and synthesize information in problem solving situations

Indicative Content

1 Algebra

Gaussian elimination to solve a 3x3 system of linear equations, investigating features of graphs and sketching graphs of functions, finding the asymptotes to the graphs of rational function Understanding and using matrix algebra, determinant and inverse of a matrix

2 Differential Calculus

derivatives of basic functions including product, quotient, exponential, logarithmic and trigonometric functions, maxima and minima, partial differentiation, first and second order differential equations

3 Integral Calculus

integrals of basic functions, integration by substitution and by parts, area bounded by a curve

4 Axial Force

Direct stress and strain, Modulus of Elasticity, typical behaviour of ductile materials, thermal loading, composite sections

5 Stress due to bending

simple bending theory, second moment of area, theorem of parallel axes, section modulus, composite Sections

6 Shear and torsion

Horizontal shear stress distribution in beams Torsion of circular shafts: torsion equation, second polar moment of area

7 Elastic deformation of beams

Calculation from first principles, formulae and computer packages




Teaching and Learning Work Loads

Teaching and Learning Method Hours
Lecture 25
Tutorial/Seminar 25
Practical Activity 10
Assessment 90
Independent 50
Total 200

Guidance notes

SCQF Level - The Scottish Credit and Qualifications Framework provides an indication of the complexity of award qualifications and associated learning and operates on an ascending numeric scale from Levels 1-12 with SCQF Level 10 equating to a Scottish undergraduate Honours degree.

Credit Value – The total value of SCQF credits for the module. 20 credits are the equivalent of 10 ECTS credits. A full-time student should normally register for 60 SCQF credits per semester.


We make every effort to ensure that the information on our website is accurate but it is possible that some changes may occur prior to the academic year of entry. The modules listed in this catalogue are offered subject to availability during academic year 2021/22 , and may be subject to change for future years.