The document discusses mathematical models. It defines a mathematical model as a representation of a real-life phenomenon using mathematical formulas. Mathematical models are created to solve specific problems and answer specific questions. The modeling cycle involves defining a problem, creating a mathematical model, performing calculations with the model, validating the model against real-world data, and concluding if needed by refining the model. The key steps in the modeling cycle are to start simply and evolve the model in a cyclic process.
2. Contents
Models
Mathematical model
Why make mathematical models?
Modeling cycle
8/23/2023 Khwaja Osama, Integral University, Lucknow 2
3. What is a model?
8/23/2023 Khwaja Osama, Integral University, Lucknow 3
4. What is a mathematical model?
A mathematical model is a representation of a real life phenomenon in
mathematical formulas
駒
=
駒
情+駒
駒
駒
=
1
駒
情+駒
駒
8/23/2023 Khwaja Osama, Integral University, Lucknow 4
5. Why make mathematical model?
8/23/2023 Khwaja Osama, Integral University, Lucknow 5
駒
=
駒
情+駒
駒
駒
=
1
駒
情+駒
駒
To solve a specific problem, to answer a specific question
7. Conclude
Never loose sight of the whole modelling
cycle.
Process is cyclic and evolving.
Start with the simplest model and simplest
calculation method.
8/23/2023 Khwaja Osama, Integral University, Lucknow 7
