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Appendix 2: Mathematical Modelling

CBSE · Class 12 · Mathematics

Complete topic list for Appendix 2: Mathematical Modelling in CBSE Class 12 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

64 questions60 flashcards5 concepts

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4 Topics · CBSE Class 12 Mathematics

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.
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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.
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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

Frequently Asked Questions

What are the important topics in Appendix 2: Mathematical Modelling for CBSE Class 12 Mathematics?
Appendix 2: Mathematical Modelling covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Appendix 2: Mathematical Modelling — CBSE Class 12 Mathematics?
Understand the core concepts first, then work through the 64 practice questions available for this chapter. Revise formulas and 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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