A career in any engineering or scientific field will require both basic and advanced mathematics. Without mathematics to determine principles, calculate dimensions and limits, explore variations, prove concepts, and so on, there would be no mobile telephones, televisions, stereo systems, video games, microwave ovens, computers or virtually anything electronic. There would be no bridges, tunnels, roads, skyscrapers, automobiles, ships, planes, rockets or most things mechanical. There would be no metals beyond the common ones, such as iron and copper, no plastics, no synthetics. In fact, society would most certainly be less advanced without the use of mathematics throughout the centuries and into the future. Why is knowledge of mathematics important in
engineering?
Electrical engineers require mathematics to design, develop, test or supervise the manufacturing and installation of electrical equipment, components or systems for commercial, industrial, military or scientific use.
Mechanical engineers require mathematics to perform engineering duties in planning and designing tools, engines, machines and other mechanically functioning equipment; they oversee installation, operation, maintenance and repair of such equipment as centralized heat, gas, water and steam systems.
Aerospace engineers require mathematics to perform a variety of engineering work in designing, constructing and testing aircraft, missiles and spacecraft; they conduct basic and applied research to evaluate adaptability of materials and equipment to aircraft design and manufacture and recommend improvements in testing equipment and techniques.
Nuclear engineers require mathematics to conduct research on nuclear engineering problems or apply principles and theory of nuclear science to problems concerned with release, control and utilization of nuclear energy
and nuclear waste disposal.
Petroleum engineers require mathematics to devise methods to improve oil and gas well production and determine the need for new or modified tool designs; they oversee drilling and oer technical advice to achieve economical and satisfactory progress.
Industrial engineers require mathematics to design, develop, test and evaluate integrated systems for managing industrial production processes, including human work factors, quality control, inventory control, logistics and material ow, cost analysis and production coordination.
Environmental engineers require mathematics to design, plan or perform engineering duties in the prevention, control and remediation of environmental health hazards, using various engineering disciplines; their work may include waste treatment, site remediation or pollution control technology.
Civil engineers require mathematics at all levels of civil engineering { structural engineering, hydraulics and geotechnical engineering are all fields that employ mathematical tools such as differential equations, tensor analysis, field theory, numerical methods and operations research.
Source: Bird, John. Bird's comprehensive engineering mathematics. Routledge, 2018.
Déroulement du module :
Introduction
Emploi de Matlab/Octave en mathématiques pour les ingénieurs
Analyse dimensionnelle pour les ingénieurs
Calcul matricielle et résolution des systèmes linéaires algébriques
Nombres complexes et la méthode de Horner
Équations ordinaires différentielles d'ordre un, deux et supérieur à deux
Fonctions à plusieurs variables (calcul multivariable)
Transformée de Laplace et de Fourier