Class 10 Maths — Chapter 16: MATHEMATICAL MODELLING

What you'll learn

• ▸Concept of Mathematical Modelling
• ▸The Five Stages of Mathematical Modelling
• ▸Role of Assumptions and Validation
• ▸Modelling using Ratio and Proportion
• ▸Probability-Based Modelling
• ▸Modelling Population Growth (Fibonacci)

Chapter Summary

--- PAGE 1 --- MATHEMATICAL MODELLING A2 A2.1 Introduction * An adult human body contains approximately 1,50,000 km of arteries and veins that carry blood. * The human heart pumps 5 to 6 litres of blood in the body every 60 seconds. * The temperature at the surface of the Sun is about 6,000° C. Have you ever wondered how our scientists and mathematicians could possibly have estimated these results? Did they pull out the veins and arteries from some adult dead bodies and measure them? Did they drain out the blood to arrive at these results? Did they travel to the Sun with a thermometer to get the temperature of the Sun? Surely not. Then how did they get these figures? Well, the answer lies in **mathematical modelling**, which we introduced to you in Class IX. Recall that a mathematical model is a mathematical description of some real-life situation. Also, recall that mathematical modelling is the process of creating a mathematical model of a problem, and using it to analyse…

Practice Questions from this Chapter

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1. Explain mathematical modelling simply. Get Solution →
2. Give examples of real-world models. Get Solution →
3. Show how math predicts the stock market. Get Solution →
4. What is a mathematical model defined as in the text? Get Solution →
5. What is the first step in the process of mathematical modelling? Get Solution →
6. In the example of rolling a pair of dice, which sum has the highest probability of occurring? Get Solution →
7. What is the final step in the mathematical modelling process described in the chapter? Get Solution →
8. According to the text, what is the 'cash price' of an article? Get Solution →

Did you know?

• 💡 Scientists estimate there are more stars in the universe than grains of sand.
• 💡 Ancient Babylonians used advanced mathematical models to predict planetary positions.
• 💡 Weather forecasting relies on complex mathematical equations to predict future conditions.
• 💡 Your body contains approximately 100 trillion cells, a massive biological estimate.
• 💡 Epidemiologists use mathematical models to predict the spread of diseases.

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