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Appendix 2: Mathematical Modelling — Syllabus

Madhya Pradesh Board · Class 12 · Mathematics

What Appendix 2: Mathematical Modelling covers in Madhya Pradesh Board Class 12 Mathematics: 4 topics, for the 2026-27 session.

64 questions60 flashcards5 formulas & key relations5 concepts

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4 Topics · Madhya Pradesh Board Class 12 Mathematics · 2026-27

Topics in Appendix 2: Mathematical Modelling

1

1. Meaning and Principles of Mathematical Modelling

  • Mathematical modelling is an activity in which models are made to describe the behaviour of various phenomenal activities of interest using words, drawings, sketches, computer programs, and mathematic
  • Mathematical modelling is closely linked with mathematical physics, mathematical economics, operations research, and bio-mathematics.
  • A good model starts from a real situation, uses suitable variables and assumptions, applies known laws, and checks whether the result matches observation.
2

2. Five Steps of Mathematical Modelling

  • The modelling process follows an iterative cycle.
  • Step 1 identifies the physical situation.
  • Step 2 converts the situation into a mathematical model using parameters, variables, symbols, and known physical laws.
3

3. Tower Height Model

  • The tower height problem uses trigonometry in a modelling form.
  • Let AB be the tower, with A as the top and B as the foot.
  • Let PQ be the observer, with P as eye position and Q as the foot position of the observer.
4

4. Matrix Model for Purchase Orders and Raw Materials

  • Matrix methods are used to represent purchase orders and raw material requirements.
  • Matrix A represents purchase orders of products P1, P2, P3 from clients F1 and F2.
  • Matrix B represents the amount of raw materials R1, R2, R3 required to manufacture each unit of products P1, P2, P3.

Key Concepts

Central concept: Mathematical modelling as the conversion of real-life situations into mathematical form using variables, parameters, equations, matrices, calculus, and linear programming

Introduction to mathematical modellingPrinciples of mathematical modellingFive-step modelling processTower height modelMatrix model for purchase ordersRaw material feasibilityLinear programming modelCost-profit model

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Frequently Asked Questions

What are the important topics in Appendix 2: Mathematical Modelling for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Appendix 2: Mathematical Modelling include Meaning and Principles of Mathematical Modelling, Five Steps of Mathematical Modelling, Tower Height Model, Matrix Model for Purchase Orders and Raw Materials. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How should I revise Appendix 2: Mathematical Modelling for the Madhya Pradesh Board Class 12 board exam?
Learn the core ideas first, then work through the 64 practice questions on Appendix 2: Mathematical Modelling. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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