MATH123 Session 1 Project Essay. Mathematics is the basis of much of modern scientific thought and practice. It provides the key for understanding the nature of science and technology. Mathematics is an integral part of modern civilisation, and many contemporary issues, such as global warming or financial regulation, are complex and can be meaningfully analysed from a quantitative perspective using mathematical models (see, for example, [1]). The development of mathematics to its modern form spans three millennia or more, with contributions from historically diverse cultures and societies. Some of the most important and enduring ideas of mathematics lie in algebra, geometry and calculus. Write an essay, of between 800 and 1200 words, describing the application of mathematical modelling to an appropriate topic of your choice. Your essay should: • Some background as to the nature of the issue or problem that is being addressed • Some detail about the nature of the mathematical model being used • A discussion of the interpretation of the results and conclusions which can be drawn from the mathematical modelling • An assessment of the social, environmental and/or ethical implications of the results and conclusions. • Contain at least four references to published books, journal articles or internet-based materials; however, no more than two of your references should be electronic (i.e. internet-based). This outline of the requirements for the essay also serves as a guide to the correct referencing of material. • Be prepared with a word processing package, and submitted as a paper copy with the downloaded cover page attached. Make sure you sign the declaration. Topics that you might consider researching are the modelling of sea-temperatures, urban population changes, transport planning, taxation or the spread of infectious diseases. Marks will be assigned for each of the points described (the issue or problem, the mathematical model, the results or conclusions, assessment of impacts and references) as well as overall presentation, including style and grammar. Resources for your essay include: • Books and journal articles in the University Library. Section QA21 is particularly useful on the History of Mathematics. Sections QA7 and QA8 are useful for some surveys of Applications of Mathematics, such as linear programming, the travelling salesperson problem, game theory and other ideas described in [2] and [3] , or applications in the natural sciences (biology, ecology,...) described in [4]. A variety of modelling applications appears in the survey [5], and the AIDS epidemic is considered in the journal article [6]. Many other sections also contain books of relevance about topics such as women in mathematics (e.g. [7]), mathematics in ancient cultures (e.g. [8]), important individuals in mathematics (e.g. [9]), or important topics in mathematics (e.g. [10]). • Internet based resources. An example is the MacTutor History of Mathematics Archive, a website hosted at the University of St Andrews [11]. An interesting article on the role of the Black-Scholes equation in financial modelling appeared on the website [12] of The Guardian. The cover sheet for submission of your essay is on the page following the end of the reference section. References [1] http://www.wikipedia.org - search on the term mathematical modelling. . [2] Kline, Morris (editor), Mathematics: an introduction to its spirit and use. WH Freeman and Co. (1979) See chapter VI on applications. [3] Crilly, Tony, Mathematical ideas you really need to know. Quercus (2007) See chapters 45-47 on applications. [4] Builly, Francis and Longo, Guiseppe, Mathematics and the Natural Sciences: the physical singularity of life. Imperial College Press (2010). [5] Korner, Tom, The Pleasures of Counting. Cambridge University Press (1996).
[6] Smith?, R.J., Li,J ., Gordon, R. and Heffernan, J.M., Can we spend our way out of the AIDS epidemic? A world halting AIDS model. BMC Public Health 9
inancial modeling is the task of building an abstract representation (a model) of a financial decision-making situation.[1] This is a mathematical model designed to represent (a simplified version of) the performance of a financial asset or portfolio of a business, project, or any other investment. Financial modeling is a general term that means different things to different users; the reference usually relates either to accounting and corporate finance applications, or to quantitative finance applications…
or “triads” (EU, NAFTA) | 1 | Cultural deterritorialization | The cultural adoptions of other countries as part of your economy (ie. Anime and Hollywood based industries of Vancouver) | 1 | Modelling Tradition | Objective to account for observed patterns of spatial economic activity using mathematical models | 1 | Principles of modeling traditions | Unversalism: belief hat economic processes work the same way in every context, (supply and demand of oil is the sameas those of computer chips)Rationality:…
PharmacoEconomics (2013) 31:25–48 DOI 10.1007/s40273-012-0008-3 SYSTEMATIC REVIEW A Systematic and Critical Review of the Evolving Methods and Applications of Value of Information in Academia and Practice Lotte Steuten • Gijs van de Wetering • ` Karin Groothuis-Oudshoorn • Valesca Retel Published online: 4 December 2012 Ó Springer International Publishing Switzerland 2012 Abstract Objective This article provides a systematic and critical review of the evolving methods and applications…
Research Volume 32 Number 101 2008 _______________________________________________________________________________ Modelling the demand for learning resources in academic libraries Jon Warwick Abstract System dynamics is a relatively young discipline having been in existence for just 50 years. With close links to systems theory it offers an holistic approach to modelling and focuses on the analysis of the feedback structures existing in complex systems that give rise to observed behaviour…
OUTPUT SENSOR CONTROL MESSAGE FEEDBACK LINK DESIRED VALUE INPUT Desired values: •human input •fixed values •memorised personal factors •pre-planned sequence •mathematical model POWER LINE CONTROL LINE CONTROL CALCULATION Response calculation: •proportional to difference •integral of difference •trend in difference •look-up tbale •mathematical model LEARN TO IDENTIFY THE ELEMENTS OF EACH SYSTEM CONTROL SYSTEM ISSUES • These systems are “Soft” Systems, where there is usually a human link • Actuators…
sorting have many links across the curriculum both inside numeracy & mathematics and in other areas. Within mathematics sorting links with areas such as ‘ develop different approaches to problem solving’ ccea (2007 p61) along with ‘understand mathematical language and be able to use it to talk about their work’ and ‘ask and respond to open- ended questions’. Sorting can have…
weeks and the complete 51 weeks data) are built using Bayesian dynamics time series and forecasting and ARIMA techniques. The three different sets of data are used to investigate the dynamic behaviour and structural change of the system. From the modelling results, a comparative study of the models' accuracy is performed. The strengths and weaknesses of the Bayesian time series analysis (BATS) models are also discussed and compared to the ARIMA model. The Bayesian dynamic linear time series model…
development of calculus is usually credited to Isaac Newton and Gottfried Leibniz. A differential equation is a relation between a collection of functions and their derivatives. Differential equations arise naturally in the physical sciences, in mathematical modelling, and within mathematics itself. For example, Newton’s second law, which describes the relationship between acceleration and force, can be stated as the ordinary differential equation. The mean value theorem gives a relationship between values…
Proceedings of the Regional Conference on Statistical Sciences 2010 (RCSS’10) June 2010, 241-255 Modelling Job Satisfaction And Work Commitment Among Lecturers: A Case Of UiTM Kelantan Zainudin Awang1 Faculty of Computer and Mathematical Sciences Universiti Teknologi MARA, Kelantan, Malaysia Email:Zainudin888@kelantan.uitm.edu.my 1 Junaidah Hanim Ahmad2 Nazmi Mohamed Zin2 2 Faculty of Accountancy Universiti Teknologi MARA, Kelantan, Malaysia ABSTRACT Universities worldwide are aiming to have…
ENEC12007 Structural Analysis Course Outline Department of Engineering Degree ENEC12007 Structural Analysis Unit details Department : Engineering Degree Unit Title : Structural Analysis Unit Code : ENEC12007 Perquisites : PHYS1184 Engineering Physics A & MATH11219 Engineering Mathematics Campus & Mode : ACK Mishref, Internal Unit Weight : 6 credits Teaching Staff : Dr. S. M. Soleimani, Eng. ....................... Contact details Unit coordinator/lecturer…