Overview (Leaving Cert Applied Maths): Flashcards

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Mathematical modelling definition

Using maths concepts, techniques & tools to represent & solve real-world problems

Key strength of mathematical modelling

Systematic approach

Nature of modelling process

Iterative/cyclical

Stages in modelling cycle

Five

Stage 1: Modelling cycle

Identifying the problem

Stage 2: Modelling cycle

Formulating the problem

Stage 3: Modelling cycle

Translating into mathematics

Stage 4: Modelling cycle

Computing solutions

Stage 5: Modelling cycle

Evaluating solutions

Falling ball equation (ss, uu, tt, gg)

s=ut+12gt2s = ut + \frac{1}{2}gt^2

Modelling application fields (name 5)

Business, medicine, weather, engineering, economics

Purpose of assumptions in modelling

Simplify without losing essential accuracy

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