Romer Castillo

Batangas State University · College of Accountancy Business Economics and International Hospitality Management

A new sequence of natural numbers can be formed by adding corresponding factorials and triangular numbers. In this paper, such numbers were named factoriangular numbers. Mathematical experimentations on these numbers resulted to the establishment of some of its characteristics. These include the parity, compositeness, the number and sum of its posi...

When corresponding numbers in the sequence of factorials and sequence of triangular numbers are added, a new sequence of natural numbers is formed. In this study, these positive integers are called factoriangular numbers. Closely related to these new numbers are the runsums, trapezoidal and polite numbers. Some theorems on runsum representations of...

Objectives: The paper aims to present a survey of both time-honored and contemporary studies on triangular number, factorial, relationship between the two, and some other numbers associated with them. Methods: The research is expository in nature. It focuses on expositions regarding the triangular number, its multiplicative analog - the factorial a...

Educators have the responsibility of assessing their students’ metacognitive knowledge and identifying students who may need support in developing effective metacognitive skills and providing them with necessary learning intervention. This study assessed the customs administration students’ metacognitive knowledge and its usage in their internships...

This study established some recurrence relations and exponential generating functions of the sequence of factoriangular numbers. A factoriangular number is defined as a sum of corresponding factorial and triangular number. The proofs utilize algebraic manipulations with some known results from calculus, particularly on power series and Maclaurin’s...

Digital trade facilitation is increasingly becoming essential in a modern customs environment. Many countries have started computerizing and automating their trade procedures, the success of which depends upon their government’s information technology development. In usability perspective, the most appropriate success measure of an information syst...

Green practice is a worldwide policy and everybody is concerned with sustainable development. This study assessed the green warehousing (GWH) practices in the Philippines and its sustainability dimensions. It utilized a quantitative descriptive-survey approach with questionnaire for data collection. The sample consists of 48 warehouses with warehou...

A factoriangular number is a sum of a factorial and its corresponding triangular number. This paper presents some forms of the generalization of factoriangular numbers. One generalization is the -factoriangular number which is of the form (n!)m + Sm(n), where (n!)m is the mth power of the factorial of n and Sm(n) is the sum of the m-powers of n. Th...

The presentation is all about the background, status and updates, and challenges and problems encountered in a college-based research unit. It also provides some suggestions and recommendations.

This study analyzes and compares the seven-year performance trends of the top ten customs administration schools in the Customs Broker Licensure Examination (CBLE) in the Philippines. It also determines the correlation between the number of examinees and performance ratings of each school and the statistical differences of the average ratings when...

Objectives: To analyze the six-year performance trend of a Philippine state university in the Customs Broker Licensure Examination and compare this performance with those of other schools. Methods: It is a quantitative research; statistical tables and graphs were used in data presentation and analysis. Data were mined from the database of the gover...

A factoriangular number is defined as the sum of corresponding factorial and triangular number. This paper aims to generalize this number as sum of any factorial and any triangular number and explore such generalization. This study is a basic research in number theory that uses mathematical exposition and exploration. The generalized factoriangular...

The study aims to present a trend analysis on the Certified Public Accountant (CPA) licensure examination performance of an accountancy school in the Philippines and compare this performance with those of other schools. The research method used is mostly quantitative, in which statistical tables and graphs were utilized as tools in the analysis. Th...

This presentation is intended to orient the new graduate school students of the College of Accountancy, Business, Economics and International Hospitality Management about some policies and requirements on conducting research in the graduate school.

This presentation outlines the suggested documents for the accreditation of a degree program following the survey instrument of the Accrediting Agency of Chartered Colleges and Universities in the Philippines (AACCUP) for Area V - Research, specifically intended for use of Batangas State University but may also serve as guide for other state univer...

The contents presented herein comprise Chapter 2: System of Linear Equations and Inequalities of the instructional material titled Basic Concepts and Procedures in Solving Linear Programming Problems: A Supplementary Instructional Material for Quantitative Techniques in Business (with Philippine Copyright Registration No. O2015-2649). This instru...

The contents presented herein comprise Chapter 5: Transportation Problem of the instructional material titled Basic Concepts and Procedures in Solving Linear Programming Problems: A Supplementary Instructional Material for Quantitative Techniques in Business (with Philippine Copyright Registration No. O2015-2649). This instructional material has...

The contents presented herein comprise Chapter 3: Linear Programming Graphical Method of the instructional material titled Basic Concepts and Procedures in Solving Linear Programming Problems: A Supplementary Instructional Material for Quantitative Techniques in Business (with Philippine Copyright Registration No. O2015-2649). This instructional...

The contents presented herein comprise Chapter 4: Linear Programming Simplex Method of the instructional material titled Basic Concepts and Procedures in Solving Linear Programming Problems: A Supplementary Instructional Material for Quantitative Techniques in Business (with Philippine Copyright Registration No. O2015-2649). This instructional ma...

The contents presented herein comprise Chapter 6: Assignment Problem of the instructional material titled Basic Concepts and Procedures in Solving Linear Programming Problems: A Supplementary Instructional Material for Quantitative Techniques in Business (with Philippine Copyright Registration No. O2015-2649). This instructional material has been...

This study assessed religious tourism in Batangas, Philippines on the following aspects: historical significance, holiness and spirituality, and customs and traditions. The assessments made were also subjected to tests of differences when the respondents are grouped as to either residents or tourists and according to their age, sex, educational att...

Factoriangular numbers resulted from adding corresponding factorials and triangular numbers. If Ftn is the nth factoriangular number, n! is the factorial of n and Tn is the nth triangular number, then Ftn = n! + Tn. In this study, interesting results on the representations of factoriangular number as sum of two triangular numbers and as sum of two...

This study assessed the economic, environmental and social aspects of ecotourism in Lobo, Batangas, Philippines. Lobo is situated in the Verde Island Passage, the “center of the center of marine biodiversity” in the world. Lobo is also home to scenic beaches with spectacular dive spots and fish sanctuaries; mountain ranges with the endangered tree...

This study ascertains the contributions of on-the-job training (OJT) program of a university to the development of skills, personal qualities and competencies of tourism students. The study is descriptive and uses survey questionnaire for data gathering. Respondents consist of 74 tourism graduates from 2009 to 2013, which is 75.5% of the total numb...

Presentation for the Orientation Program 2015 for the graduate students of Batangas State University - College of Accountancy, Business, Economics and International Hospitality Management (BatStateU - CABEIHM)

This study provides a clear-cut solution to a minimum distance problem, in particular, the problem of finding the minimum distance from a point to a line to another point on the same side of the line. The straightforward solution is a Pythagorean relation or formula which can be derived through geometrical construction and reasoning, and analytical...

This study determines and analyzes the socio-cultural aspects of heritage tourism that attracts tourists and travelers to visit Taal Heritage Town in Batangas, Philippines. It is a descriptive-survey type of research participated by 346 Taal visitors. The respondents assessed and expressed their agreement or disagreement on each statement presented...

This study determines and analyzes the importance of computerized systems to the reservation and front office operations of mostly small to medium-size hotels in the Province of Batangas, Philippines. One hundred reservation and front office managers and employees from 10 hotels participated in the study by assessing the importance of their existin...

This paper assesses the ecotourism in Mount Maculot, Philippines and outlines the directions for sustainable development. The study is descriptive in nature and uses a survey questionnaire for gathering data. A major result of the study is the general agreement of the age-, sex-, and education-disaggregated respondents on all items presented to the...

This presentation provides a brief lecture on the usual contents of the Research Methodology chapter in an undergraduate thesis that will serve as guide for thesis students and their advisers and panel of examiners.

This article presents a diverse philosophy on the fundamental nature of human being, the meaning of man’s existence in this world, the existence of evil and the reason for man’s suffering, and the fulfillment of his function and his final destiny. The views however are not all-original and are just results of philosophical eclecticism. Perceptions...

This study determines the awareness of the stakeholders on the vision, mission, goals and objectives (VMGO) and how these are disseminated; evaluates the stakeholders’ understanding and acceptance of the VMGO; and assesses the perceptions of the stakeholders with regards to VMGO’s clarity and consistency, congruency to activities, practices, projec...

This research determines and analyzes the level of employability skills of the graduating and senior students of BS Business Administration, BS Accounting Management and BS Accountancy of Batangas State University. It uses the descriptive method of research, with survey questionnaire as data gathering instrument, and employs the SPSS for the statis...

This article presents the policies regarding Outcomes-Based Education (OBE) System of the Commission on Higher Education and explores some of the principles of OBE that abound the literature. It is intended to help Batangas State University, particularly the College of Accountancy, Business, Economics and International Hospitality Management, prepa...

Workshop briefing on the formulation of performance indicators and the setting of performance indicators for the Batangas State University Strategic Plan

Presentation for Batangas State University’s Strategic Planning Workshop (Session 3) as resource speaker

Presentation for Batangas State University’s Strategic Planning Workshop (Session 2) as resource speaker

Workshop briefing for the formulation of strategic initiatives, objectives and programs/activities/projects for the Batangas State University Strategic Plan

The study aimed to determine the employment status of the graduates of Bachelor of Science in Tourism – Hotel and Restaurant Management from Batangas State University during academic years 2004 – 2008. Eighty graduates answered the researcher-made questionnaire. Data collected on the profile of the graduate-respondents, employment status, present p...

The study was to determine the determinants of the student grades in the introductory physics course. The responses of the 99 engineering students at Batangas State University on the item in the Maryland Physics Expectations (MPEX) survey instrument were compared with the responses of the experts. It showed that students' overall expectations score...