Read and download the Mathematical Modeling PDF from the official NCERT Book for Class 12 Mathematics. Updated for the 2025-26 academic session, you can access the complete Mathematics textbook in PDF format for free.
NCERT Class 12 Mathematics Mathematical Modeling Digital Edition
For Class 12 Mathematics, this chapter in NCERT Book Class 12 Mathematics Mathematical Modeling provides a detailed overview of important concepts. We highly recommend using this text alongside the NCERT Solutions for Class 12 Mathematics to learn the exercise questions provided at the end of the chapter.
Mathematical Modeling NCERT Book Class Class 12 PDF (2025-26)
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 separatetopic.
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 Mathematical Modelling?
Students are aware of the solution of word problems in arithmetic, algebra, trigonometry and linear programming etc. Sometimes we solve the problems without going into the physical insight of the situational problems. Situational problems need physical insight that is introduction of physical laws and some symbols to compare the mathematical results obtained with practical values. To solve many problems faced by us, we need a technique and this is what is known as mathematical modelling. Let us consider the following problems:
(i) To find the width of a river (particularly, when it is difficult to cross the river).
(ii) To find the optimal angle in case of shot-put (by considering the variables such as : the height of the thrower, resistance of the media, acceleration due to gravity etc.).
(iii) To find the height of a tower (particularly, when it is not possible to reach the top of the tower).
(iv) To find the temperature at the surface of the Sun.
Please refer to attached file for NCERT Class 12 Mathematics Mathematical Modeling
| NCERT Book Class 12 Maths Relations and Functions |
| NCERT Book Class 12 Maths Inverse Trigonometric Functions |
| NCERT Book Class 12 Maths Matrices |
| NCERT Book Class 12 Maths Determinants |
| CBSE Book Class 12 Maths Continuity and Differentiation |
| NCERT Book Class 12 Maths Continuity and Differentiability |
| NCERT Book Class 12 Maths Application of Derivatives |
| CBSE Book Class 12 Maths Integrals |
| NCERT Book Class 12 Maths Integrals |
| NCERT Book Class 12 Maths Application of Integrals |
| NCERT Book Class 12 Maths Differential Equations |
| CBSE Book Class 12 Maths Vector Algebra |
| NCERT Book Class 12 Maths Vector Algebra |
| NCERT Book Class 12 Maths Three Dimensional Geometry |
| NCERT Book Class 12 Maths Linear Programming |
| NCERT Book Class 12 Maths Probability |
| NCERT Book Class 12 Mathematics Answers and Solutions |
| NCERT Book Class 12 Mathematics Answers and Solutions |
| NCERT Book Class 12 Mathematics Proofs In Mathematics |
| NCERT Book Class 12 Mathematics Mathematical Modeling |
Important Practice Resources for Class 12 Mathematics
NCERT Book Class 12 Mathematics Mathematical Modeling
Download the official NCERT Textbook for Class 12 Mathematics Mathematical Modeling, updated for the latest academic session. These e-books are the main textbook used by major education boards across India. All teachers and subject experts recommend the Mathematical Modeling NCERT e-textbook because exam papers for Class 12 are strictly based on the syllabus specified in these books. You can download the complete chapter in PDF format from here.
Download Mathematics Class 12 NCERT eBooks in English
We have provided the complete collection of NCERT books in English Medium for all subjects in Class 12. These digital textbooks are very important for students who have English as their medium of studying. Each chapter, including Mathematical Modeling, contains detailed explanations and a detailed list of questions at the end of the chapter. Simply click the links above to get your free Mathematics textbook PDF and start studying today.
Benefits of using NCERT Class 12 Textbooks
The Class 12 Mathematics Mathematical Modeling book is designed to provide a strong conceptual understanding. Students should also access NCERT Solutions and revision notes on studiestoday.com to enhance their learning experience.
You can download the latest, teacher-verified PDF for NCERT Book Class 12 Mathematics Mathematical Modeling for free on StudiesToday.com. These digital editions are updated as per 2025-26 session and are optimized for mobile reading.
Yes, our collection of Class 12 Mathematics NCERT books follow the 2026 rationalization guidelines. All deleted chapters have been removed and has latest content for you to study.
Downloading chapter-wise PDFs for Class 12 Mathematics allows for faster access, saves storage space, and makes it easier to focus in 2026 on specific topics during revision.
NCERT books are the main source for NCERT exams. By reading NCERT Book Class 12 Mathematics Mathematical Modeling line-by-line and practicing its questions, students build strong understanding to get full marks in Mathematics.