Mathematical Modeling Lecture Notes

These flashcards cover key concepts related to mathematical modeling as discussed in the lecture.

What is mathematical modeling?

The process of turning messy real world situations into analyzable concepts to derive conclusions.

Modeling assumptions

Assumptions made during mathematical modeling to simplify and focus on relevant factors.

Modeling cycle

A systematic approach to mathematical modeling including problem identification, assumption making, modeling, and validation.

Factors (in modeling)

Elements that affect the real world situation being modeled and help define what values should be included.

Word problems vs. Mathematical modeling

Word problems usually provide numbers without context, while mathematical modeling requires understanding real world relevance.

What might impact lift capacity in modeling?

Number of people waiting, presence of stairs, people's behavior, and time of arrival.

What should be validated in a mathematical model?

The feasibility and realism of the conclusions drawn from the model.

Climate vs. Weather

Climate refers to long-term atmospheric conditions, while weather refers to short-term atmospheric conditions.

Examples of factors affecting climate

Latitude, carbon emissions, geographical location, and greenhouse gases.

Importance of assumptions in modeling

Assumptions help define how certain elements will behave in the context of the model.