Math Report Lab Example | Topics and Well Written Essays - 1000 words

Math - Lab Report Example The fact that these environments are less understood drivers the need to use observations, understand them and predict the future. Such efforts mostly involve intuition, but often involving examining existing similarities between them and other known and well understood situations. Mathematical modelling defines the system using mathematical language and concepts to describe its behaviour (Berry and Houston 2-3). The major application is in engineering and natural sciences disciplines, physicists, and computer science among others. Consequently, the use of mathematical models represent crucial elements of the presented system, thus presenting the usable form of knowledge for that system. For instance, modelling â€Å"the greenhouse effect† offers the best way to predict future conditions or situations on earth such as extent of carbon monoxide or temperatures. In this report, mathematical models are used to consume real-world data to formulate models that are analysed real world situations to offer conclusions, which after interpretation offer predictions or explanation for any system (Berry and Houston 3). Furthermore, mathematical models offer a means of solving math problems, and representing the association between any two or more variables and that are fundamental to a given problem or situation. This paper evaluates the concept of mathematical modelling in terms of differential equations. The concept is applicable because the variables analysed in the report are continuous, thus varying subject to other continuous variables. In this case, differential equations offer the rate of change of dependent variables subject to independent ones. Since the system is not limited to having only one independent variable, the mathematical model attained from the hypothesis is that which offers a model in terms of leading or advanced order ordinary differential equations of the system. Furthermore, mathematical models normally define a system that needs to