Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Lecture
Tutorial
Workshop
Module Offerings
4612BECC-SEP-PAR
Aims
This module aims to provide the learner with an understanding of the underpinning mathematical principles, techniques and applications in the construction industry.
Learning Outcomes
1.
Review mathematical techniques in algebra, geometry, trigonometry and calculus relevant to problems within the construction industry.
2.
Apply mathematical methods to solve geometric and trigonometric problems in construction.
3.
Apply analytical methods to the examination of structural elements and provide appropriate solutions.
4.
Illustrate the application of calculus within construction by solving problems using differentiation and integration.
Module Content
Outline Syllabus:-Revision of whole numbers, fractions, indices, powers of 10, BIDMAS, percentages, ratios:
-Graphs
-Basic trigonometric ratios in right-angled triangles
-Pythagoras theorem
-Angles including angles in polygons(exterior, interior), in parallel lines
-Area and perimeter and volume of basic and composite shapes, with applications in engineering and construction including integration:
-Area under a curve/ Volumes of revolution / Numerical methods- trapezoidal rule, mid-ordinate, Simpson’s rule
-Beams theory: types of beams and supports. Calculations of reaction forces, shear force and bending moment diagrams , slope/deflection of a beam using calculus of various cross-sections of beams
-Column theory: Calculation of centroids and moments of inertia using integration for long columns
-Differentiation - finding the gradients of functions at different points on curves, by finding derivatives, using standard results
-Applications of differentiation: Optimisation in construction, kinematics, structural mechanics, problems of maxima/minima, rates of change
Additional Information:This module is designed to provide students with a range of mathematical skills and knowledge of the techniques and standard results, used to solve problems in the construction industry.
Students will be encouraged to apply appropriate analytical methods in different engineering situations.