Class 9 Maths — Chapter 14: INTRODUCTION TO MATHEMATICAL MODELLING

What you'll learn

• ▸Concept of a Mathematical Model
• ▸The Process of Mathematical Modelling
• ▸Formulation of a Mathematical Model
• ▸Solving the Mathematical Model
• ▸Interpretation of the Solution
• ▸Identifying Assumptions and Limitations

Chapter Summary

--- PAGE 1 --- APPENDIX 2 INTRODUCTION TO MATHEMATICAL MODELLING A2.1 Introduction Right from your earlier classes, you have been solving problems related to the real-world around you. For example, you have solved problems in simple interest using the formula for finding it. The formula (or equation) is a relation between the interest and the other three quantities that are related to it, the principal, the rate of interest and the period. This formula is an example of a mathematical model. A mathematical model is a mathematical relation that describes some real-life situation. Mathematical models are used to solve many real-life situations like: * launching a satellite. * predicting the arrival of the monsoon. * controlling pollution due to vehicles. * reducing traffic jams in big cities. In this chapter, we will introduce you to the process of constructing mathematical models, which is called mathematical modelling. In mathematical modelling, we take a real-world problem and wri…

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Explain real-world mathematical models. Get Solution →
2. Give everyday mathematical problem examples. Get Solution →
3. Show how models predict future events. Get Solution →
4. What is a mathematical model defined as in the text? Get Solution →
5. What is the process of constructing mathematical models called? Get Solution →
6. What are the four stages of mathematical modelling mentioned in the introduction? Get Solution →
7. In the petrol consumption problem (Example 1), what type of relationship is assumed between the amount of petrol needed and the distance travelled? Get Solution →
8. According to the text's summary, what is the first step in solving a word problem? Get Solution →

Did you know?

• 💡 Ancient Babylonians used math models for astronomy 3,000 years ago.
• 💡 Mathematical models predict weather patterns and natural disaster risks.
• 💡 The spread of infectious diseases is often predicted using complex math models.
• 💡 Building bridges and skyscrapers relies heavily on precise mathematical modelling.
• 💡 Even the simple bounce of a ball can be described by intricate math equations.

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