Class 12 Mathematics — Chapter 8: Mathematical Modelling

What you'll learn

• ▸Concept of Mathematical Modelling
• ▸The Process of Mathematical Modelling
• ▸Modelling using Trigonometry
• ▸Modelling with Matrices for Resource Allocation
• ▸Modelling with Systems of Linear Equations
• ▸Modelling with Linear Programming
• ▸Modelling with Calculus for Optimization
• ▸Modelling Population Dynamics
• ▸Modelling with Exponential Functions

Chapter Summary

--- PAGE 1 --- Appendix 2 MATHEMATICAL MODELLING A.2.1 Introduction In class XI, we have learnt about mathematical modelling as an attempt to study some part (or form) of some real-life problems in mathematical terms, i.e., the conversion of a physical situation into mathematics using some suitable conditions. Roughly speaking mathematical modelling is an activity in which we make models to describe the behaviour of various phenomenal activities of our interest in many ways using words, drawings or sketches, computer programs, mathematical formulae etc. In earlier classes, we have observed that solutions to many problems, involving applications of various mathematical concepts, involve mathematical modelling in one way or the other. Therefore, it is important to study mathematical modelling as a separate topic. In this chapter, we shall further study mathematical modelling of some real-life problems using techniques/results from matrix, calculus and linear programming. A.2.2 Why M…

Practice Questions from this Chapter

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1. Explain mathematical modeling simply. Get Solution →
2. Show real-world math model examples. Get Solution →
3. Discover how models predict weather. Get Solution →
4. According to the text, what is a rough definition of mathematical modelling? Get Solution →
5. What is the first step for mathematical modelling as listed on page 3? Get Solution →
6. According to the diagram in Fig A.2.1, what should be done if a model's results are 'Not in Good Agreement' with observation? Get Solution →
7. The chapter states it will use techniques from several mathematical fields for modelling. Which of the following is mentioned? Get Solution →
8. Which of the following is listed as a basic principle of mathematical modelling? Get Solution →

Did you know?

• 💡 Ancient Egyptians used geometry to re-survey fields after Nile floods, a form of early modelling.
• 💡 Bees use geometry to build hexagonal honeycombs, efficiently maximizing storage space for honey.
• 💡 NASA relies on mathematical models to accurately plot spacecraft paths and predict future celestial events.
• 💡 Doctors use complex mathematical models to simulate blood flow and predict disease progression in patients.
• 💡 Scientists use mathematical models to estimate the universe's age and the number of atoms it contains.

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