Appendix 2: Mathematical Modelling
CBSE · Class 12 · Mathematics
Summary of Appendix 2: Mathematical Modelling for CBSE Class 12 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Mathematical modelling is the conversion of a physical situation into mathematics using suitable conditions, variables, symbols, and laws. It is used to describe and study real-life behaviour with words, drawings, sketches, computer programs, and mathematical formulae. This chapter uses matrix metho
Key Concepts
Mathematical modelling is an activity
Mathematical modelling is an activity in which models are made to describe the behaviour of real phenomena in different ways using words, drawings or
The process has five steps
The process has five steps: identify the physical situation, convert it into a mathematical model, find the solution, interpret the result, and accept
If AB is the tower
If AB is the tower, PQ is the observer position, h is eye height, l is horizontal distance, and α is the angle of elevation, then the height of the to
Matrix A represents purchase orders
Matrix A represents purchase orders of products P1, P2, P3 from clients F1 and F2, and matrix B represents the raw materials R1, R2, R3 required per u
For available raw materials 330 units
For available raw materials 330 units of R1, 455 units of R2, and 140 units of R3, the system formed from product requirements leads to x = 20, y = 35
Learning Objectives
- Understand the meaning and purpose of mathematical modelling
- Learn the five-step modelling cycle: identify, formulate, solve, interpret, and revise
- Model a tower-height problem using trigonometry
- Use matrices to represent purchase orders and raw-material requirements
- Solve a raw-material utilisation problem using a system of equations
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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