Mathematical Modeling Overview

Using math to represent real-world situations and find patterns.

Clearly stating the question you want to answer using math.

Simplifying factors to make the problem easier to solve.

Identifying all the parts of the model that affect the result.

Using mathematical tools to find solutions to the problem.

Checking if the model's predictions are practical and finding ways to improve it.

Mathematical models are used in various fields like biology, engineering, and sociology, among others.

Questions whose answers are not immediately apparent from available information and often require a mathematical approach.

Explaining the results of a mathematical model in a clear and accessible way, using a research paper format.

17 goals created by the UN to improve global well-being by addressing challenges like poverty, hunger, and environmental issues.

Thailand excels in poverty reduction, healthcare access, and education, especially in digital skills, and clear energy.

Thailand faces challenges in reducing inequality, addressing climate change, improving waste management, and enhancing political stability.

Research papers should include summary, problem statement, detailed methods, results, and conclusions, avoiding technical jargon.

A concise and easy-to-understand explanation of the problem being addressed in the mathematical model.

Detailed description of how the mathematical model was developed in the research paper.

Clear presentation of the model's findings in the research paper.

The rate at which a population increases over time, calculated by subtracting the death and emigration rate from the birth and immigration rate.

The number of babies born each year in a population.

The number of deaths per year in a population.

People moving into a country to live.

People leaving a country to live in another.

An unexpected health event affecting a whole population.

The number of qualified teachers available to educate students.

Components (birth rate, death rate, immigration, emigration) that influence population growth.

A variable whose value does not depend on another variable, and whose value is independent in the context of the mathematical model.

A variable whose value depends on another variable. In a mathematical model, it's the output, or result, of the function.

A function or equation that approximates the population trend of Thailand over a period of time using obtained data points.

Gathering information or data about Thailand's population over time to build the prediction model.

A graph that displays data points to visualize patterns and trends in the population dataset of Thailand.

Numerical information collected for the population of Thailand from the specified year range, 2000 to 2021.

A database providing globally collected data about various development indicators, including population data.

Creating a function or equation to predict the number of teachers in Thailand by using existing data and other model parameters.

A statistical method used to find the relationship between variables, and predict future values based on this relationship.

A statistical measure that indicates how well a regression model fits the data. It ranges from 0 to 1, with 1 indicating a perfect fit.

A polynomial function with the highest power of the variable being 3. Its graph can have up to two turning points.

Using a regression model to estimate the future population size based on historical trends.

An error that occurs when a number is rounded to a certain number of digits, causing slight inaccuracies in calculations.

An online graphing calculator used to visualize and analyze data, particularly for regression analysis.

A value between 0 and 1 that measures how well a function fits the data. Higher R² indicates a better fit.

A function with the highest power of x being 2, with the general form f(x) = ax² + bx + c.

A function where the variable x appears in an exponent, with the general form f(x) = a * b^x.

A function that is the inverse of an exponential function, with the general form f(x) = a * log(x) + b.

A mathematical model used to estimate future values based on past data.