MATHEMATICS TOPICS

Background of the study

Cryptography has a long and intricate history that intertwines with the development of number theory. From the ancient ciphers of Julius Caesar to the complex algorithms used in modern-day encryption, the evolution of cryptographic methods has been driven by the need to secure information in an increasingly digital world. Central to this evolution has been the application of number theory, a branch of pure mathematics that de...

ABSTRACT

This study basically assessed the effect of problem solving strategy on attitude and academic performance of students in algebraic concept of mathematics as well as the effect of school location on students’ performance were established., A total of two hundred and thirty-eight (238) students out of a population of two thousand four hundred (2400) students were used for the study. The responses from the instrument used in the study formed the basis for data analysis T...

ABSTRACT

This study investigated the impact of Cuisenaire rods strategy on remediating errors in addition and subtraction of numbers among primary school pupils in Kaduna State, Nigeria. Simple random sampling technique using “balloting method” was used in selecting two co-educational primary schools in Lere local government. One of the schools was also randomly selected as experimental group while the other as the control group. The same method was used in selecting int...

ABSTRACT

This study investigated the impact of Cuisenaire rods strategy on remediating errors in addition and subtraction of numbers among primary school pupils in Kaduna State, Nigeria. Simple random sampling technique using “balloting method” was used in selecting two co-educational primary schools in Lere local government. One of the schools was also randomly selected as experimental group while the other as the control group. The same method was used in selecting int...

ABSTRACT

This thesis is composed of two independent papers: Construction of whiskered invariant tori for fibered holomorphic maps In this paper we present a very general theory that includes results on the persistence of quasi-periodic orbits of systems subject to quasi-periodic perturbations. Such quasi-periodic systems appear naturally in many applications where systems are subject to external perturbations of quasi-periodic nature. This is joint work with Rafael de la Llave. The...

Abstract

The first part of this work established, with examples, the fact that there are more than one non-abelian isomorphic types of groups of order n = sp, (s,p) = 1, where s

1 was worked out and such groups have no non-abelian isomorphic types. This gave credence to the fact that a group of order 15 and its like do not have a non-abelian isomorphic type. It also generated the non-abelian isomorphic types of groups of order n = spq, where s, p and q are distinct primes...

Abstract

Let Xn = { } 1,2,…,n be a finite n -element set and let Sn An and Dn , be the Symmetric, Alternating and Dihedral groups of Xn , respectively. In this thesis we obtained and discussed formulae for the number of even and odd permutations (of an n − element set) having exactly k fixed points in the alternating group and the generating functions for the fixed points. Further, we give two different proofs of the number of even and odd permutations (of an n −...

ABSTRACT Modified class of single-step numerical schemes were proposed to improve the order of accuracy by imposing intra-step points in the formulation process of the proposed algorithms. The behaviour of modified numerical algorithm is of great concern when varieties of countable off-grid points are imposed within the grid points in the derivation process. In this study, we present a one-step second derivative modified algorithms for numerical solution of first order initial value problems...

ABSTRACT

The analytical needs in geographic information systems (GIS) have led to the interpretation of formal methods of modeling the topological relationship of spatial objects using Egenhofer-matrices. As a result, we investigate the algebraic approach for the structural analysis of a spatial topology- Simplices, The Order of Simplices, Faces of Simplices, Simplicial Complex, Skeletons of Simplicial Complex. Oriented Simplex, Connectedness of Spatial Objects. The matrix interpret...

ABSTRACT

Wildland fire spread is one of the most challenging problems faced by reserved or unreserved vegetation in many developed and developing nations, because it can lead to serious environmental hazards in claiming lives, properties, animals and some other valuable treasures. This thesis establishes an approximate analytical solution that is capable of analysing fire spread in a real-time coupled atmospheric wildland fire, in determining the effect of temperature, oxygen concen...

ABSTRACT

This thesis investigated the effect of temperature dependent thermal conductivity and diffusion coefficient on the filtration combustion in a wet porous medium. The model which relies on several assumptions and based on the conservation of total mass, chemical species and energy written in transient state mode of operation which governed the phenomenon is presented. The existence of unique solution of the problem was examined by actual solution method. The properties of sol...

ABSTRACT

This research focuses on the formulation of block hybrid methods with power series as basic function through interpolation and collocation techniques for numerical solution of second order initial value problems in ordinary differential equations. The step number for the derived block hybrid method is k=2 with two off-step point and four offstep points. The basic properties of numerical methods were analyzed and findings revealed that the methods were consistent, zero-stabl...

ABSTRACT

The purpose of the study is to develop a lot sizing model for growing chickens if the supplier of the products offers incremental quantity discounts. A mathematical model was derived to determine the Optimal Inventory Policy which minimizes the total inventory cost in both the owned and rented facilities. A solution procedure for solving the model is developed and illustrated through a numerical example. Sensitivity Analysis was performed to demonstrate the response of the...

ABSTRACT

This project work reveled the rate at which people are infected with malaria the least square method used for analysis showed that people are infected with malaria irrespective of the time and seasons of a successive year,

There is no noticeable direction as regarding the number of patient treated for malaria over time.

Also, the analysis from autoregressive moving average report shows that both autoregressive and moving average of order four were both a...

ABSTRACT

This research work is concerned with the time series analysis on the rate of typhoid fever cases in Abia state from 2001-2010, with Abaia state university teaching hospital Aba as a case study. This survey was carried out using time series analysis to ascertain whether there is a significant increase in the seasonal variation in the reported cases of typhoid fever. Finally, following the inferences drawn from the data collected for the survey, it was discov...

ABSTRACT

The aim of this project is to examine the trend at which patients attends the hospital over the period of study. The study therefore, shows the usefulness of statistics to medicine and hence advice had always been sought by medical and health administrators from the Department of Statistics on the analysis and interpretation of medical data. The work is presented in five chapters. The first chapter being the introduction, the second chapter is the review of...

Abstract

The Cumulative Sum (CUSUM) Control Chart was widely used in manufacturing industries to monitor process performance, set up standard for the operational parameters, maintaining standard and monitor for improvement. In this study, CUSUM Scheme is designed and implemented to evaluate the performance of programmes on immunization considering vaccination activities and deaths recorded as a result of outbreak of some selected diseases. Also, retrospective analys...

Background of the study

Every company or organization in the world strives to find the most efficient method to run their operations so that they may maximize their profits despite the limited resources at their disposal (Oyekan et al., 2019). Planning and care for optimal production are consequently essential in order to maintain optimal profit making and the survival of such an organization (Kumar et al., 2013 & Rama et al., 2017). Considering...