Description
This module will provide an introduction to mathematics in the engineering context and introduce the mechanics of materials.
Aims
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
8
9
10
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.
Disclaimer
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.
