Mathematics for MSC in Applied Mathematics is a discipline used to help understand the reality and to help to change some of the parts of it for the benefit of man. It is used in such diverse fields as engineering, economics, physics, biology, environmental studies, political studies, chemistry, medicine etc, etc, etc. Business Training in Kenya has more articles.
Models in MSC in Applied Mathematics
The first step in this process in MSC in Applied Mathematics is often the construction of a mathematical model, i.e. a model in MSC in Applied Mathematics is a description of a problem in mathematical terms. This model is then studied by using numerical or analytical methods to obtain approximate or even exact solutions.
Finally, the conclusions are made and interpreted in the language of the original problem i.e. in terms that are more familiar to a client or user or the learner. Often the mathematical model is changed to be more real by including more features of the problem. Thus, the modeling process in MSC in Applied Mathematics may involve false starts, then modifications and eventually simplifications.
Mathematics enters primarily in the second stage which involves the solving of mathematically well formulated problems and the development and analysis of the underlying hypothesis/ theory. This stage may also include numerical or analytical methods. The approach can start from formal methods and specific algorithms to abstract and general theories. It is often not clear which mathematical skill will be useful in the solving of a new problem; thus, MSC in Applied Mathematics students need to be broadly trained so they will have a wide range of mathematical tools available.
The applied mathematical scientist must not only be a competent mathematician but also must be knowledgeable in the area to which mathematics is being applied. Thus, the applied mathematician in MSC in Applied Mathematics must be concerned with the construction and even interpretation of appropriate models; students must communicate with professional scientists in their language.
Modeling in MSC in Applied Mathematics
The art of formulating models in MSC in Applied Mathematics requires that the modeler makes decisions about which factors to include and which factors to exclude. The aim is to produce a mathematical model that is realistic enough and that it reflects the essential aspects of the phenomena being modeled, but also simple enough that it can be treated within the bounds of mathematics.
Often the model in MSC in Applied Mathematics is constructed to answer a specific question/ solve a specific problem. Sometimes the modeler must either simplify the model so that it can be analyzed, or devise a new mathematical method that will allow for an analysis of the model. Often, a combination of numerical and analytical methods is used. The modeling process in MSC in Applied Mathematics may involve a sequence of models of decreasing simplicity. Problems will sometimes lead to the cropping up of new mathematical methods, and existing mathematical methods often lead to the cropping up of new insights into the mathematical problems in MSC in Applied Mathematics. A successful applied mathematical scientist must be confident and comfortable in both mathematics and the field of application.
Conclusion on MSC in Applied Mathematics
Applied mathematical and computational science is a term used to encompass the many numerical and analytical methods used to solve certain types of scientific problems in MSC in Applied Mathematics. This name more precisely reflects the nature of modern applied mathematics since it includes the area of scientific computation, which includes many components of the computational processes, such as algorithms for machines with parallel and vector architectures, visualization, numerical analysis, simulation, and computer aided design.
The behavior of materials, the environmental sciences, and mathematical biology, are also studied in the MSC in Applied Mathematics.