DEPARTMENT OF MATHEMATICS

This study examines the essence of effective inventories control and management to manufacturing companies with particular emphasis on Ama Greenfield Breweries plc. The aim of this study is to investigate and ascertain areas of lapses by the company and offer effective ways and solutions in which the manufacturing company can explore the services of inventory management to affect its objectives. In carrying out this study, various research instruments such as questionnaires and oral interview were used to collect data from respondents and a research design was adopted with a sample size of 52. The statistical tool used for this work is Chi square. Based on the analysis, it was discovered that inventory management plays a vital role in the manufacturing company. A well functional inventory management following the recommendations can bring about proper management thereby enhancing proper and effective production and it will equally ensure the effective, efficient and adequate use of materials and resources in the manufacturing company.

In conventional data envelopment analysis, decision making units are considered as a whole, that is, internal stages are generally ignored. In real life, most systems are composed of many divisions operating interdependently via the intermediate products that are created by some divisions and consumed by some others within the system. The aim of the study was to develop a formalized network mix efficiency model that can deal with both controllable and uncontrollable inputs as well as desirable and undesirable outputs by considering the internal structures of systems. A linear programming approach of data envelopment analysis was used by taking the ratio of slack based measure and directional distance function to measure the eco-efficiency of 54 African countries. The inputs into the system were classified as controllable and uncontrollable while the output as desirable and undesirable. Stage one captured agricultural production efficiency, while stage two evaluated the environmental impact of carrying out agricultural activities. The network efficiency model identified sources of inefficiencies from the components of a complex system rather than looking at the system as a black box. Controllable inputs and undesirable outputs were minimized while the desirable outputs were maximized. The approach provided policymakers with robust benchmarks for enhancing agricultural productivity while mitigating environmental degradation.

Itebukunmi is a riverine community in Ondo State Nigeria, known for its high traffic in fishing activities. The economic importance of fishing activities in Itebukunmi to the Nigerian economy necessitate the need to study the harvesting strategy of fishing in Itebukunmi waters and where necessary determine scientifically regulatory policy that will ensure sustained growth in population.
The Mathematical model of three species of fishes in Itebukunmi couple with human activites was derived using systems of ordinary differential equations. The qualitative analysis of the model such as the local, global, stability and bioeconomic analysis were done using linearization approach and bifurcation analysis. The result of the quantitative analysis showed that : as the control of the harvesting rate of cat fish increases, the population of cat fish and African knife fish, in Itebukunmi river increases, while the Ophiocephalus fish population decreases. Also, as the control of the harvesting rate of Ophiocephalus fish increases, the population of Ophiocephalus fish and African knife fish, in Itebukunmi river increases, while the cat fish population decreases. Furthermore, as the control of the harvesting rate of African knife fish increases, the population of African knife fish , in
Itebukunmi river increases, while the cat fish and Ophiocephalus fish population decreases

This project work will introduced the reader to the concept of metrics (a class of functions which is regarded as generalization of the notion of distance) and metric spaces with examples. It emphasises the notion of vector space which generalizes
the concept of addition and scalar multiplication. The notion of inner product allows us to generalize the notion of the dot product of vectors. It also allows us to talk about angle between vectors, and their norms. We can discuss the notion of distance between vectors. Also the combination of inner product with a vector gives a scalar. An inner product space is a special type of vector space that has mechanism for computing a version of dot product that can be defined in real or complex vector space, as long as it satisfies some conditions. The properties arising from a metric in an inner product space is important example of a metric space

Real life models that are characterized by randomness are best described using Stochastic Ordinary Differential Equations (SODEs). Most SODEs that satisfy existence and uniqueness theorem are often insoluble via the use of analytic methods. Numericals solution are derived and the complexity of generating approximate solutions to SODEs are heightened by the presence of the phenomenon called stiffness. Hence, A-stable numerical methods are desired. This
is a strigent requirement that can only be met by implicit methods.
Two families of A-stable numerical methods for numerical approximation of SODEs are derived using Ito Taylor, Taylor’s series and undetermined coefficients methods. The stability analysis of both families of methods are established using the Boundary locus method.
Families of methods developed are A-stable for 𝑘 ≤ 12. Mean-square stable and strong stable for order 𝑝 = 1. The Numerical implementation generated on the standard test problems in the literature shows that the numerical solution to methods developed are in most cases better when compared to numerical solution generated by existing methods in the literature designed for stiff SODEs. The numerical solutions are also compared with exact solution where they are
available. The numerical solution mimic the exact solution, hence the proposed methods are well suited for the treatment of stiff SODEs.

This project focuses on exploring iterative techniques for solving linear systems. The goal is to examine the efficiency and accuracy of iterative methods such as Jacobi and Gauss-seidel method used in solving linear systems commonly found in scientific applications