Department of Mathematics and Computer Science, UP Baguio

The Department of Mathematics and Computer Science of the College of Science proudly presents the graduate thesis examinations for our Master of Science in Mathematics candidates and the doctoral dissertation defenses for our Doctor of Philosophy in Mathematics candidates.

Details for each session can be found in the attached images.

"Pure mathematics is, in its way, the poetry of logical ideas." - Albert Einstein

We are pleased to present π 2026: A BS Mathematics Seminar Presentation Day.

This event features the students of MATH 198 Section A1 as they present their research, analyses, and mathematical insights, reflecting their academic rigor and commitment to the discipline.

📅 9 May 2025�
🕗 9:00 AM – 3:00 PM�
📍 CS AVR

This research explored mathematical extensions of the patterns commonly seen in nature, such as the Fibonacci and Lucas sequences. By generalizing these rules into a "Horadam sequence," the researchers introduced a bi-periodic parameter that alternates between two values based on the term's position. This innovative approach led to the discovery of the bi-periodic Fibonacci-Horadam and Lucas-Horadam sequences. Using matrix techniques, the authors uncovered new properties of these generalized mathematical structures.

Authors: Joy P. Ascano (Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio), Edna N. Gueco (Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio), and Julius Fergy T. Rabago (Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University)

Published in the Communications of the Korean Mathematical Society

Read more: https://ovpaa.up.edu.ph/research/research-explores-extensions-to-the-fibonacci-and-lucas-sequences/

RESEARCH | If you observe nature, objects such as pinecones, pineapples, and sunflowers have a spiral-like structure. Interestingly, if you count these spirals, they seem to give you random numbers. For example, a pinecone may have 8 and 13 spirals, and a sunflower even larger numbers like 34 and 55. These numbers may appear random at first, but they occur repeatedly in nature. They follow a mathematical sequence that is 1,1,2,3,5,8,13,21,34,55, and so on. This sequence is called the Fibonacci sequence. What’s fascinating about the Fibonacci sequence is that it follows a simple rule, which can be expressed as an equation: F_n=F_(n-1)+F_(n-2).

In simple terms, any number in the sequence is the sum of the two preceding numbers: 1+2 is 3, 2+3 is 5, 3+5 is 8, and so on. However, if you observe more closely (in nature), you may also find spiral patterns that don’t follow the Fibonacci numbers. Some pinecones may have 7 and 11 spirals. But on closer inspection, these numbers also follow the same equation but start with different numbers. This new sequence is called the Lucas sequence, which goes 2, 1, 3, 4, 7, 11, 18, 29, and so on. Like the Fibonacci sequence, each Lucas number is the sum of the two numbers before it.

The ubiquity of these mathematical sequences in nature has long intrigued mathematicians about the properties of these numbers. In our research, we focus on discovering additional properties of these sequences. To achieve this, we introduced a more general equation by inserting parameters into both terms. This general form is known as the Horadam sequence. In our study, we let the first parameter be bi-periodic, meaning it alternates between two values depending on whether the term is in an odd or even position. This led to the bi-periodic Fibonacci-Horadam and bi-periodic Lucas-Horadam sequences. We apply the concept of matrices (arrays of numbers) and demonstrate how matrix techniques can uncover new properties.

Authors: Joy P. Ascano (Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio), Edna N. Gueco (Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio), and Julius Fergy T. Rabago (Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University)

Published in the Communications of the Korean Mathematical Society

Read more: https://ovpaa.up.edu.ph/research/research-explores-extensions-to-the-fibonacci-and-lucas-sequences/

Image by Carolina Prado from Pexels

EARLY BIRD REGISTRATION EXTENDED!
Due to multiple requests and funding uncertainties, early bird registration for the 2026 MSP Annual Convention and 2026 SUPMaT are extended until May 8, 2026.

2026 MSP Annual Convention
Dates: 3-5 June 2026
Venue: The Golden Lion Hotel, Pangasinan State University, Lingayen, Pangasinan
Convention Website: https://msp2026.my.canva.site
Registration link: https://bit.ly/2026msp_registration
Request for Invitation Letter: https://bit.ly/2026msp_RequestInvite
For inquiries related to the convention, send email to [email protected]

# # # # # WE ALSO INVITE EVERYONE TO SUPMaT 2026! # # # # #
2026 Summer Upgrading Program for Mathematics Teachers (SUPMaT 2026)
Dates: June 1–2, 2026
Venue: Urdaneta City University
Registration link: https://bit.ly/supmat26
Request for Invitation Letter: https://bit.ly/supmat2026invitation
For inquiries related to SUPMaT, send email to [email protected]

You’re invited to the Math 198 (Section A2) Seminar Paper presentations of the BS Mathematics students of DMCS, UP Baguio.

This event is open to all. Kindly refer to the posters for the schedule, venue, and other details.

As part of the 31st Summer Institute in the Natural Sciences and Mathematics, the Department of Mathematics and Computer Science (DMCS) successfully concluded its 3-day event featuring four engaging tracks:

Track A: Web Data Visualization
Track B: Statistics and Data Science
Track C: Mathematical Modeling
Track D: Mathematics Education

Thank you to all participants for your enthusiasm and active participation throughout the sessions. We hope the experience was meaningful and enriching.

See you again in our future SINSM!

The UPB Department of Mathematics and Computer Science would like to gauge the interest of UPB undergraduate students in taking Math 100 (Introduction to Calculus), Math 54 (Elementary Analysis II) or CMSC 198 (Practicum) during this Midyear term 2026.

Answer the form by scanning the QR code for each course.

Kindly accomplish this on or before April 24, 2026.

Join us this Monday, 13 April 2026, at 10AM, virtually via Zoom, and listen to the talk of our MS Math student Jaskine C. Baricaua. Please see the poster for more details. You may register using the following link or scan the QR code in the poster:

tinyurl.com/dmcsresearch
tinyurl.com/dmcsresearch
tinyurl.com/dmcsresearch

After registering, you will receive a confirmation email containing information about joining the meeting. This information will also be used in upcoming DMCS Research Colloquiums this semester.

See you there!
UPB College of Science
University of the Philippines Baguio Graduate Program Office
University of the Philippines Baguio

Applications are now open to the MS and PhD Mathematics programs for the 1st Semester, AY 2026-2027. The deadline of application is on July 04, 2026.

For inquiries, you can reach us through our email address: [email protected].

University of the Philippines Baguio
UPB College of Science
Department of Mathematics and Computer Science, UP Baguio

Abstract submission is extended until March 31, 2026!
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2026 MSP Annual Convention
3-5 June 2026
The Golden Lion Hotel, Pangasinan State University
Lingayen, Pangasinan
Convention Website: https://msp2026.my.canva.site
Abstract Submission: https://bit.ly/2026msp_AbstractSubmission
Registration: https://bit.ly/2026msp_registration
Request for Invitation Letter: https://bit.ly/2026msp_RequestInvite

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