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MATHEMATICS DIVISIONRESEARCH AGENDA 2017-2019
Prepared by CMNPiñol and JFRabajante
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Current Mathematics Division Research Clusters
• Mathematics Education• Analysis and Partial Differential Equations• Graph Theory and Combinatorics• Coding Theory and Cryptography• Biomathematics• Financial Mathematics and Actuarial Science• Quantitative Management and Decision Science
(formerly Operations Research)
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Assumption 1:
Research agenda should be aligned with the national goals
(According to OVCRE: UPLB also aligns its research agenda in accordance to the goals of NEDA)
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Ensuring the sustainability and consistency of strategies, policies, programs and projects across political administrations
Momentum should be sustained
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Anchored in SDGs:
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FYI: NRCP’s (NIBRA)
2nd National Research and Development Conference DEPARTMENT OF SCIENCE AND TECHNOLOGY
Harmonized National R&D Agenda R&D Priority Areas and Programs
Improving agricultural
productivity, competitiveness
and incomes and resiliency
Improving agricultural
productivity, competitiveness
and incomes and resiliency
• AGRICULTURE
Crops Livestock
• AQUATIC
• FORESTRY
Agriculture, Aquatic and Natural
Resources Sector (AANR)
Health
• DIAGNOSTICS
- Hospital equipment and
biomedical devices
- Biomaterials for health
applications • GENOMICS/ MOLECULAR
- Information and
communication technology
for health
• DRUG DISCOVERY &
DEVELOPMENT
- Cosmeceutical Research
• NUTRITION & FOOD SAFETY
- Functional foods
• ORAL HEALTH
• MENTAL HEALTH
- Neurological-Brain research
National Integrated Basic Research
Agenda (NIBRA)
• WATER SECURITY
• Watershed studies, water quality,
accessibility and availability
• FOOD AND NUTRITION SECURITY
• Food safety, biodiversity studies
• HEALTH SUFFICIENCY
• Fundamental studies on potential sources
of natural products, basic veterinary
studies, social dimensions on health
• CLEAN ENERGY
• Alternative energy
• SUSTAINABLE COMMUNITIES
• Vulnerable ecosystems, data analytics on
natural phenomena, environmental and
anthropogenic activities
• INCLUSIVE NATION-BUILDING
• Documentation of indigenous knowledge,
data collection on social phenomena,
education, national security and
sovereignty, arts, history and culture
Disaster Risk Reduction and
Climate Change Adaptation (DRR
CCA)
• Observation and Monitoring Networks
• Technology Development and Application
for Monitoring
• Modelling and Simulation for Improvement
of Monitoring and Forecasting
• Hazards, Vulnerability and Risk Assessment
• Warning and Communication of Information
• Technology Development and Application
for Climate Change Mitigation and
Adaptation
• Technology Development and Application
for Disaster Risk Management (Health)
Industry Sector and R&D Priorities
• Food and Nutrition Security
• Countryside Development
• Competitive Industry
• Delivery of Social Services
• National Security
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PDP 2017-2022based on the 10-point agenda
of Duterte Administration
First step towards realizing AMBISYON NATIN 2040
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Mathematics Education Research Cluster:
aligned with the national goal
An Example
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Assumption 2:
UPLB RDE Thrusts are/can be aligned to a national goal in at least one of the vital sectors.
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Assumption 2:
UPLB RDE Thrusts are/can be aligned to a national goal in at least one of the vital sectors.
The Mathematics Division Research Agenda can also be aligned accordingly.
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7
The success of research ultimately depends on the individuals who lead and implement research initiatives. In UP, faculty members play a major role in establishing, nurturing and sustaining a vibrant research culture and productive research process in UP through generations. They are responsible for the research mentoring and leadership training of our students to ensure that graduate and undergraduate education in UP, in addition to foundational and general education and rote and iterative learning, is infused with a strong orientation towards research, innovation, creativity and problem-solving. High-quality research is the paramount activity in a research university. Research elevates the quality of education and accelerates academic productivity. Research also greatly improves the quality of our extension work, providing rigorous, scientific analysis, and innovative, technological solutions to pressing problems in society.
Figure 1. Academic framework developed by Dr. Gisela P. Concepcion
FYI: From the UP System Research Guide Book
There is no universal solution to our problems, but we can work together, building the parts toward the solution.
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FYI: From the NRCP
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FYI: From DOST
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Mathematics Research Clusters
Examples
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The projects of Quantitative Management and Decision Science research cluster can be aligned to address issues in the following sectors
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The projects of Financial Mathematics and Actuarial Science research cluster can be aligned to address issues in the following sectors
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The projects of Biomathematicsresearch cluster can be aligned to address issues in the following sectors
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Coding Theory and Cryptography
Analysis and Partial Differential Equations
Graph Theory and Combinatorics
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Assumption 3:
The Mathematics Division Research Thrusts should be DIRECTED towards at least one specific goal. Yet it remains OPEN for new opportunities, maximizing the pool of experts in the Division.
�“Directed” means the Division should identify the priority research areas to maximize the impact of the research outputs and to maximize efficiency of delivery (i.e., minimize costs)
�”Open” means the Division should not discriminate fields of expertise and reasonable research interests of faculty members but rather the Division should create an agenda which can maximize the knowledge and skills of faculty members towards innovation.
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NOW, HERE IS THE MATHEMATICS DIVISION’SRESEARCH AGENDA
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
Applied Mathematics
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
A research will be classified based on how “theoretical” or “applied” the study is.
Applied Mathematics
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The Mathematics Spectrum
Basic researches (e.g., studies on theoretical mathematics) are essential in two ways:1. They are the foundations of the “bridge” (applied mathematics).
Theoretical Mathematics
ApplicationAreas
Applied Mathematics
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
Basic researches (e.g., studies on theoretical mathematics) are essential in two ways:2. They can be used to enhance knowledge discovery and innovation in the academe, which is one of the national goals.
Applied Mathematics
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
Applied Mathematics have different levels of applicability:Some researches are “applicable” but are closer to theoretical mathematics. Example: formulating algorithms and theorems on error control.
Applied Mathematics
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
Applied Mathematics have different levels of applicability:On the other side of the spectrum, some researches are directly translatable to strategies, policies or products that address issues in the application areas.
Applied Mathematics
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
Application areas include, but not limited to, Biology, Chemistry, Physics, Engineering, Computer Science, Medicine, Agriculture, Environmental Management, Sociology, Economics, Business, Finance, Arts and Sports.
Applied Mathematics
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
Application areas include, but not limited to, Biology, Chemistry, Physics, Engineering, Computer Science, Medicine, Agriculture, Environmental Management, Sociology, Economics, Business, Finance, Arts and Sports.
Applied Mathematics
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
Application areas include, but not limited to, Biology, Chemistry, Physics, Engineering, Computer Science, Medicine, Agriculture, Environmental Management, Sociology, Economics, Business, Finance, Arts and Sports.
Applied Mathematics
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The Mathematics Spectrum
Theoretical Mathematics
ApplicationAreas
In the Mathematics Spectrum, research topics from the Theoretical Mathematics side to the other side of Applied Mathematics are vital in the holistic and scientific development of strategies, policies and products.
Applied Mathematics
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Scope
Theoretical Mathematics
ApplicationAreas
The scope of the Mathematics Division’s Research Agenda includes the green portion of the figure below.
Applied Mathematics
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Cross/Inter/Trans-Disciplinary Collaboration
Theoretical Mathematics
ApplicationAreas
The scope of the Mathematics Division’s Research Agenda includes the green portion of the figure below. However, those that are beyond our scope can be tapped through COLLABORATION.
Applied Mathematics
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Towards the National Goals
Theoretical Mathematics
ApplicationAreas
Applied Mathematics
A national goal in at least one of the vital sectors
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Prioritization
Research topics that belong to the green area of the spectrum and that are justifiable to address one of the national goals will be prioritized.
Theoretical Mathematics
ApplicationAreas
Applied Mathematics
A national goal in at least one of the vital sectors
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Prioritization
Example: A survey on human behavior during traffic congestion will not be prioritized. However, a study modeling the human behavior and a study on quantitative optimization of traffic routes will be prioritized.
Theoretical Mathematics
ApplicationAreas
Applied Mathematics
A national goal in at least one of the vital sectors
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Prioritization
Note: It is encouraged that a theoretical mathematics research be motivated by a national goal.
Theoretical Mathematics
ApplicationAreas
Applied Mathematics
A national goal in at least one of the vital sectors
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Prioritization
Research clusters should not spread its resources too thinly. To maximize impact of the research outputs, the research clusters are encouraged to formulate an umbrella program/project.
Theoretical Mathematics
ApplicationAreas
Applied Mathematics
A national goal in at least one of the vital sectors
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The Mathematics Division’s RESEARCH AGENDA is summarized in the diagram:
Theoretical Mathematics
ApplicationAreas
Applied Mathematics
A national goal in at least one of the vital sectors