Name: New Way Mathematics Laboratory Manual in Class 12th
Brand: Amit Book Depot
Price: 280 INR
Availability: InStock

New Way Mathematics Laboratory Manual in Class 12th

by Madhurima

₹250 ₹280.00(-/ off)

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New Way Mathematics Laboratory Manual for Class 12 by Er. Arun Gupta and Harish Goyal (New Way Publication) is a CBSE and ISC-aligned lab manual with 27 activities and 4 projects covering relations, functions, calculus, vectors, 3D geometry, and probability. It helps students verify theorems, analyze graphs, and solve real-world problems through step-by-step experiments. Ideal for practical exams, this manual enhances conceptual clarity with visual and analytical methods. Perfect for teachers and students, it includes Rolle’s Theorem, Lagrange’s Mean Value Theorem, integration, and conditional probability experiments. A must-have for hands-on learning and exam preparation.

New Way Mathematics Laboratory Manual for Class 12 by Er. Arun Gupta and Harish Goyal is a comprehensive lab manual designed to strengthen students' understanding of advanced mathematical concepts through practical experiments, activities, and projects. Published by New Way Publication, this manual is an essential resource for CBSE, ISC, and other state board students, helping them develop a hands-on approach to learning relations and functions, calculus, vectors, 3D geometry, probability, and differential equations.

Key Features of the Book

1. Aligned with CBSE and ISC Syllabus: The manual covers all practical-based topics prescribed in the Class 12 Mathematics curriculum, ensuring students gain a deeper conceptual clarity.

2. 27 Detailed Activities: Each activity is designed to verify mathematical theorems, explore functions, and analyze graphs, making abstract concepts tangible.

- Relations and Functions: Verification of symmetric, reflexive, and transitive relations and injective and surjective functions.

- Trigonometry & Logarithms: Exploration of inverse trigonometric functions, logarithmic graphs, and their properties.

- Calculus: Continuity, differentiability, Rolle’s Theorem, Lagrange’s Mean Value Theorem, and applications of derivatives in maxima-minima problems.

- Integration: Evaluation of definite integrals as the limit of a sum and verification through integration.

- Vectors & 3D Geometry: Verification of angle properties, distance between points, and equations of planes.

- Probability: Calculation of conditional probability through experiments.

3. 4 Real-World Projects: Encourages practical application of mathematics in daily life, such as dietary cost optimization, population estimation, 3D coordinate geometry, and differential equations in cooling processes.

4. Step-by-Step Instructions: Each experiment includes clear objectives, required materials, procedures, observations, and analytical verification, making it easy for students to perform independently.

5. Graphical & Analytical Verification: Helps students compare experimental results with theoretical proofs, reinforcing learning.

6. Enhances Problem-Solving Skills: The manual promotes critical thinking and analytical reasoning through structured activities.

Why Choose This Book?

1. Perfect for Lab Sessions: Designed to assist teachers and students in conducting systematic lab work as per board requirements.

2. Visual Learning: Includes diagrams, graphs, and geometric models to simplify complex topics.

3. Exam-Oriented Approach: Prepares students for practical exams and viva voce by providing real-world applications of mathematical principles.

4. Encourages Group Learning: Projects and activities facilitate collaborative learning, helping students discuss and derive solutions.

Who Should Use This Book?

1. Class 12 Students (CBSE, ISC, State Boards)

2. Teachers looking for structured lab manuals for classroom demonstrations

3. Competitive Exam Aspirants who need a strong foundation in applied mathematics

Have Doubts Regarding This Product ? Ask Your Question

Q1

Is this Mathematics Lab Manual aligned with the latest CBSE syllabus?

A1

Yes, it covers all practical topics prescribed in the CBSE and ISC Class 12 Mathematics syllabus.
Q2

How many activities and projects are included in this manual?

A2

It includes 27 detailed activities and 4 real-world projects.
Q3

Does this book help in understanding graphs and functions practically?

A3

Yes, it includes experiments on trigonometric, logarithmic, and inverse functions with graphical verification.
Q4

Can this manual be used for self-study?

A4

Absolutely, it provides step-by-step instructions, making it easy for students to perform experiments independently.
Q5

Does it cover applications of derivatives and integrals?

A5

Yes, it includes maxima-minima problems, Rolle’s Theorem, Lagrange’s Mean Value Theorem, and definite integrals.
Q6

Is 3D geometry included in this lab manual?

A6

Yes, it covers distance between points, plane equations, and angle verification in 3D space.
Q7

Does this book help in practical exam preparation?

A7

Yes, it is designed to assist students in lab work, viva voce, and project submissions.
Q8

Is vector algebra covered in this manual?

A8

Yes, it includes vector-based proofs, including angles in a semicircle.
Q9

Is this book useful for competitive exams like JEE or NEET?

A9

While primarily for board practicals, it strengthens applied mathematics concepts, aiding competitive exams.
Q10

Can teachers use this manual for classroom demonstrations?

A10

Yes, it is an excellent resource for structured lab sessions and group activities.

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Activities

1. To verify that the relations R- ((L,m): 11m) where L,me L, L is the set of all lines in a plane is symmetric but not reflexive and transitive......

2. To verify that the relations R- ((I,m): 1|| m) where I,m & L., L is the set of all lines in a plane is an equivalence relation..

3. To demonstrate a function which is surjective and not injective.

4. To demonstrate a function which is injective but not surjective.

5. To obtain the graph of sin¹ x using the graph of sin x and concept of mirror reflection about line y = x......

6. To explore the principal value of the function sin x using a unit circle..

7. To demonstrate that graphs of a and log, x, a > 0, a ±1 are mirror images of each other...

8. To observe a relationship between common logarithm (base 10) and natural logarithm (base e) of a number .....

9. To verify the function to be continuous at given point ...

10. To check the continuity of the function at x = c and analytically find the limit of function at the point.

11. To verify the Rolle's Theorem..

12. To verify the Lagrange's Mean Value Theorem.

13. To understand the concept of increasing and decreasing functions.

14. To understand the concept of local maxima, minima and point of inflexion.

15. To understand the concept of absolute maximum and minimum values of a function in a given closed interval through its graph.

16. To make an open box of maximum volume from a given rectangular sheet by cutting equal squares from each corner.

17. To find the time when the area of a rectangle of given dimensions becomes maximum, if the length is decreasing and breadth is increasing at given rates.

18. To verify amongst all the rectangles of the same perimeter, the square has the maximum area......

19. To evaluate the definite integral / V1-dr as the limit of a sum and verify it by 1/5 actual integration.

20. To verify geometrically that 2x(+5)=x+x

21. To verify that angle in a semi circle is a right angle using vector method.

22. To locate the points in space with given coordinates verifying the distance formula by measuring the distance between two points in space....

23. To understand the equation of plane in normal form mechanically.

24. To verify that the angle between two planes is the same as angle between their normals.

25. To find the distance of given point (in space) from a plane (passing through three non-collinear points) by actual measurement and also analytically.

26. To measure the shortest distance between two skew lines and verify it analytically.

27. To find the conditional probability of a given event A when event B has already occurred.

Projects

1. To minimum the cost of the food samples meeting the dietary requirement of the top food of children of age 13 to 19 years of your school..

2. To estimate the population of a particular city under the assumption of no migration in or out in a particular year.

3. To find the coordinates of different points identified in your class using the concepts of 3D geometry and to find the distance between the selected points.

4. Formation of differential equation to explain the process of colleague of boiled water at a given room temperature.