Mathematical Models

What is a mathematical model?

• A physical representation of a system

• A theoretical framework to describe a system

• A computer program

• A statistical analysis

Which of the following is an example of a mathematical model?

• A weather forecast

• A painting

• A novel

• A song

What is the primary purpose of a mathematical model in science?

• To entertain

• To predict and understand phenomena

• To create art

• To build structures

Which equation represents a linear model?

What is a common use of mathematical models in biology?

• To study population dynamics

• To design buildings

• To create music

• To write literature

Which of the following is a characteristic of a good mathematical model?

• Complexity

• Simplicity and accuracy

• Inaccuracy

• Ambiguity

What is the role of assumptions in mathematical modeling?

• To simplify the model

• To complicate the model

• To make the model inaccurate

• To make the model entertaining

Which of the following is a type of mathematical model?

• Physical model

• Conceptual model

• Statistical model

• Artistic model

What is the difference between deterministic and stochastic models?

• Deterministic models have random variables, stochastic models do not

• Deterministic models are predictable, stochastic models involve randomness

• Deterministic models are complex, stochastic models are simple

• Deterministic models are inaccurate, stochastic models are accurate

Which mathematical model is used to describe the spread of diseases?

• SIR model

• Linear model

• Quadratic model

• Exponential model