Study of dispersions prepared via pulsed laser abitation of metal titanium in water and peroxide water solutions

This work is devoted to the study of titanium dioxide dispersions prepared via pulsed laser ablation of metallic titanium in water and aqueous solutions of peroxide. The influence of the medium pulsed laser ablation and post-irradiation on the shape and size of particles, optical properties and also the stability of dispersions are estimated

Needs Assessment of the Department of Education, Nabua West District Schools, Camarines Sur, Philippines: A Basis for an Extension Program

This study focused on the needs assessment of the Department of Education in Nabua West District Schools, Nabua, Camarines Sur, with the aim of serving as a basis for a proposed extension program by the College of Management and Entrepreneurship. Guided by Program Assessment Theory, the research addressed five key areas: school profiles in terms of enrolment and completion rates, professional profiles of teachers, teachers’ needs in skills training, advocacy and outreach programs, challenges faced by teachers, and the design of a suitable extension program. A mixed-methods approach was employed, utilizing questionnaires, interviews, observations, and documentary analysis. Data were analyzed using frequency counts, percentages, and ranking methods. Findings revealed a steady increase in enrolment but a decline in completion rates over a three-year period. Most teachers held baccalaureate degrees, were LET passers, and occupied Teacher I positions, with limited participation in national or international training. Key training needs identified include technology, records management, and communication skills. Advocacy needs focused on school repairs and gender development programs, while outreach priorities included medical and dental missions. Teachers also cited financial limitations, lack of resources, and staffing shortages as major challenges. The study recommends capacity-building initiatives and broader access to professional development opportunities to address these critical areas

Maintaining Ecosystem and Economic Structure in a Three-Species Dynamical System in Chesapeake Bay

We consider a three-species fish dynamical system in Chesapeake Bay consisting of the Atlantic menhaden as the prey and its two competing predators, the striped bass and the catfish. Building on our previous work in this system, we consider the issue of balancing economic harvesting goals (financial gain for fishermen) with ecological harvesting goals (non-extinction of species). In particular, we investigate the bionomic equilibria, maximum sustainable yield, and the maximum economic yield. Analytical computations and numerical simulations are employed to provide some mathematical guidance on fisheries management policies

Modeling Vegetation-Erosion Dynamics using Differential Equations with Human Factors

The effects of soil erosion are often devastating. Plants can reduce erosion by slowing runoff and reinforcing soil using its roots. In this project, we investigate the dynamic relationship between vegetation and erosion processes. We assume an inverse relationship between vegetation density and soil erosion: that is, an increase in vegetation cover reverses soil degradation and a decrease in vegetation cover intensifies the problem of erosion. We also assume that human activities (like logging, road-building) affect both vegetation development and resilience against erosion. Our model for the vegetation-erosion dynamics is a two-dimensional nonlinear system of differential equations with logistic growth on both variables. Equilibrium and nullcline analysis methods are applied to determine all possible dynamic scenarios between vegetation and erosion. The resulting parameter conditions can be used to analyze bifurcations on the vegetation and erosion dynamics

A Central Limit Theorem for Functionals of Gaussian Processes

The aim of this thesis is to study and show, as described in the works of Nualart, that a sequence of functionals of Gaussian processes that belongs to a Wiener chaos of fixed order converges in distribution to a standard normal law. First, we will prove this in the finite-dimensional case and then extend this to the infinite-dimensional case. As an example, we will illustrate the classical Central Limit Theorem. We will also show how to apply our result to Gaussian Moving Averages

Modeling the Ecological Dynamics of a Three-Species Fish Population in the Chesapeake Bay

We present an inquiry-based project that is designed for a mathematical modeling class of undergraduate junior or senior students. It discusses a three-species mathematical model that simulates the biological interactions among three important fish species in the Chesapeake Bay: the prey Atlantic menhaden and its two competing predators, the striped bass and the non-native blue catfish. The model also considers the following ecological issues related to these three species: the overfishing of menhaden, the invasiveness of the blue catfish, and the harvesting of blue catfish as a method to control the population. A series of modeling scenarios are considered based on some simplifying assumptions to demonstrate the application of theoretical concepts to actual fisheries in the Chesapeake Bay. Analysis involves elementary skills such as finding the roots of polynomial equations, computing eigenvalues and eigenvectors, and some advanced topics such as Routh-Hurwitz criteria and the Hartman-Grobman Theorem. Numerical simulations via MATLAB are utilized to produce graphical simulations and analyze long-time behaviors. Our model predicts that if no serious measures are taken to prevent the spread of the invasive blue catfish, the native predator species will be seriously affected and may even become extinct. The model also shows that linear harvesting is sufficient to limit the growth of the invasive catfish population; however, it is not sufficient to save the striped bass from becoming extinct. The results of this study illustrate the fundamental ecological principle of competitive exclusion, according to which two competing species that attempt to occupy the same niche in an ecosystem cannot co-exist indefinitely and one of the two populations will either go extinct or will adapt to fill a different niche

Tracer Study of Bachelor of Science in Office Administration Graduates of Camarines Sur Polytechnic Colleges

The research is primarily a tracer study of the Bachelor of Science in Office Administration graduates of Camarines Sur Polytechnic Colleges, S/Y 2017-2018. Specifically, it sought to answer the personal, professional, and employment profile of the respondents,  the graduates level of satisfaction on the services provided by CSPC, and the attributes that contributes to the employability of the graduates. It also identified the assessment of the employers on the job performance of the graduates. Moreover, this research proposes recommendations to improve the BSOA curriculum and enhance the employability of BSOA Graduates. Descriptive Method was used in this study. The respondents were the two hundred (220) BSOA graduates and some of the employers. The findings revealed that majority of the graduates are gainfully employed holding a permanent position in private organizations as an entry level/ rank and file employee. BSOA graduates are very satisfied with the educational services provided by CSPC such as the physical facilities, Student Workload, Teaching Strategies and Qualifications of Faculty. The attributes that contribute much to the employability of the graduates are Computer Literacy, Work Experience and Human Relation Skills while  Appearance, Entrepreneurship Skills and High Community and Family Involvement do not show much relevance in the employability of the graduates. The employers assessment on the performance of the graduates is perceived to be Excellent