Mathematics Resources Enhttp://oer.avu.org/handle/123456789/4862021-04-24T15:02:34Z2021-04-24T15:02:34ZOperations ResearchAidara, Nafyhttp://oer.avu.org/handle/123456789/8002018-05-25T19:00:29Z2018-04-05T00:00:00ZOperations Research
Aidara, Nafy
Operations research analyzes and presents scientific procedures for decision making in engineering, technology management and management human, productive and financial resources of an organization.
The main purpose of Operations Research is to optimize the system performance when subjected to restrictions.
It is based on mathematical modeling and uses optimization techniques (convex) and graph theory.
The main calculation algorithm is the SIMPLEX table and network, considered one of the two most important algorithms of the twentieth century (https://www.siam.org/pdf/news/637.pdf).
Operations research was meant to optimize the use of scarce resources during the 2nd world war and, having gained dominance in the industry and management. It is presented today as one of the main tools of business decision making (scientific and non-empirically).
In addressing this matter, the main priority is the”basic principles”and detailed examples at the expense of theoretical complexity that this subject today presents.
O.R. can be used in optimal radiation therapy, finding the shortest path in a network, settingprices in the stock exchange market, etc.
2018-04-05T00:00:00ZLinear AlgebraHydara, Sherifhttp://oer.avu.org/handle/123456789/7992018-05-25T19:00:27Z2018-04-03T00:00:00ZLinear Algebra
Hydara, Sherif
The Linear Algebra is a branch Mathematics that studies systems of linear equations and the property of matrices. It is one of the sectors with the vast and varied applications. The matrix calculus, vector calculus, linear applications and the design values and eigenvectors of an endomorphism have wide application in various branches of knowledge, particularly in the computer industry. Moreover, their concepts and developments lend themselves to multiple interpretations and the most diverse uses.
2018-04-03T00:00:00ZApplied Calculus for ComputingMunyiri, Willianhttp://oer.avu.org/handle/123456789/5542018-02-13T19:00:35Z2018-02-10T00:00:00ZApplied Calculus for Computing
Munyiri, Willian
<b> Welcome to applied calculus for computing</b>
Calculation intended to be a general method of solving quantifiable problems.
in the application of the calculation method, or as it is known the”infinitesimal” method, a problem is”divided into infinitesimal parts”(differentiation), analysed in its relations with the neighbouring parts and then”added”(integration) until the solution method.
the two parts of this the analysis and synthesis form a model for more sophisticated methods based on calculation, used in applied science concepts you learn in calculus allow statistical , physicists and engineers create mathematical models of real situations and real problems and simulate their resolutions under different operating conditions.
the calculation was invented by Leibnitz (1684), but the method of application of the results will have an impact from the publication of the book Newton”the Mathematical Principles of Natural Philosophy”in 1687.
See:
• http://en.wikipedia.org/wiki/Leibniz%E2%80%93Newton_calculus_controversy
• https://archive.org/details/newtonspmathema00newtrich
This course intended as an introduction to this method, an entry for the first part of research and scientific research Differentiation are treated the following subjects:
• Basic Math: Numbers and simple functions, trigonometry, complex functions and analytic geometry;
• Functions Derivative including trigonometric , exponential and logarithmic;
• differentiation methods,
• differentiation rules: product rule, quotient rule, chain rule; Higher order derivatives at first;
• Applications of differentiation: Maximum and minimum method to solve equations,
• integral calculus: primitivation as inverse operator of differentiation, differential, integral forms of Riemann, definite integrals, standard forms,
• integration techniques: integration by parts, substitution, partial fractions, numerical integration elements,
• integration of applications: average value of a function, length calculation, area and volume
2018-02-10T00:00:00ZResearch MethodsJoseph, Adjei Dr.http://oer.avu.org/handle/123456789/4902018-02-01T19:00:39Z2018-01-28T00:00:00ZResearch Methods
Joseph, Adjei Dr.
<b> Course Overview </b>
The course will introduce students to scientific research and guide them to carry out research in information systems systematically. It will attempt to draw a clear distinction between scientific research and adhoc reasoning. The differences between social sciences, natural and design sciences will be explained as well as the differences between qualitative and quantitative research methods. The course will cover the basic research processes: identification of research problem, its rationale and the researcher’s motivation; research questions and hypotheses formulation, objective setting; research design including strategy, types of evidence, data collection methods, and data analysis; writing the literature review; and reporting of research results.
2018-01-28T00:00:00Z