Mathematics in Engineering: The Key to Simplification and Precision

Mathematics and science form an integral part. Engineers solve problems by establishing the relationships between qualities and natural world by developing models and equations. The process of answering these questions however, relies on the mathematical techniques and some engineering prototypes that are used for analysis. Though the models are approximate, the require coherence with absoluteness in their conception and the description should be precise. As for the mathematical techniques they require one to practice, be sophisticated, and some rigor. Thus, purer disciplines of mathematics build the technological world of an engineer. Mathematical concepts such Dimensional Analysis also help in reduction of the ramification of equations that are fundamental to engineers and also physicists. These equations are the key factors since they describe a systems behavior in a simple way and also in a form that is very economical. This concept also includes reduction of dimension. Using this method in engineering examples, the aspects and number of independent variables can be decreased to three or four in a standard analysis. Aforementioned results in savings at the experimental phase. Since factors in decreased set is dimensionless, prototype made here is scalable. To mean smaller model turbines can be used here for experiments. This can be done using the dimensional design concept and the results would explicate to a correspondent of a full scale. Thus this mathematical method in relevant to conceptualized engineering example.

Applying of mathematical methods to solve complex engineering problems is very essential in development of thinking and understanding. Mathematical models sets certainty that they require to handle bigger engineering projects and pursue in unfolding of problems. Mathematical methods constitute of investigative skills, diagnostic skill and some design skills that should be incorporated in engineering curricula (Neimark, 2012). All the above skills are part of critical thinking. This is relevant to conceptualize engineering problems as technology and knowledge is advancing fast requiring engineers to increase their critic in discerning information and authoring of critical verdicts in times of abrupt circumstances and when handling new problems. Mathematical methods also help industrial engineering students to solve engineering problems through material and thinking processes and strategies learned. Mathematics methods provide a set of tools such as Excel and MapPoint as some of the approaches for solving engineering problems. Engineers look at the problems from a mathematician’s angle then struggle to tackle it with ambiguity.

Mathematical methods help industrial and mechanical engineers valance engineering complex problems, administer mathematics to units of engineering, discerning the relevance of an information required in a specific program or problem and also mathematical operating systems to use. In addition to solving natural parameters, mathematical modeling also is a central tool for engineering practice and solving of engineering problems. Courses of statistics, differential equations and calculus are majorly adopted by engineering undergraduates. This is a tool used by the students when they leave college. It is used to solve various engineering problems thus making mathematical methods relevant. Mathematics has also helped at the work place of engineers in that it is viewed in three ways: work problems are viewed in a broader range as mathematics ideas are being applied, mathematical techniques along with a way of getting to know the world. Mathematical methods again are used in telecommunications by technicians. This is because sociocultural perspective is planted in work situations and it also meditated over the engines. The technicians also need mathematics in order to understand well especially in breakdown situations.

Arithmetic and geometric progression is also used to solve engineering problems. This is relevant with relevant in reference to perimeter and solving of 2D area shapes, 3D shapes of volume and some common measures. This helps students to calculate perimeter and area of 2D shapes, volume of the 2D shapes and also in solving practical proble3ms that require calculation with common measures. Mechanical, civil and aeronautical engineer uses methods of mathematics in solving the beam deflection for a cantilever with variable cross sections. This justifies how relevant the mathematical methods are relevant to conceptualize engineering problems. Kinetic modeling, diffusion or reaction problems, computational fluid dynamics reaction of chemicals in engineering and the control problems are some of the applications of chemical engineering. This engineering sector uses a lot of applications of mathematical methods. This includes the first order irreversible series reaction. Illuminations of problems are also another set of engineering problem which requires the application of mathematical methods. These problems do not advanced mathematics to solve. In many situations, the GCSE mathematics syllabus is used. The mathematics concepts derived here however needs more skills to be used in engineering. Mathematical methods are thus relevant to a variety of conceptualized engineering problems.

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REFERENCE

Parsons, S., 2005. Success in engineering mathematics. MSOR Connections, 5(1).

Neimark, J.I., 2012. Mathematical models in natural science and engineering. Springer Science & Business Media.