# Mathematics for Class XII

The history of mathematics is nearly as old as humanity itself. Soon after the development of language, humans began simple counting - and fingers and thumbs acted as nature's abacus. Later on, their imagination and logic lead to the evolution of simple counting, measurements, calculations, systematic study of the shapes, motions of physical objects, and finally moulded the complex and abstract discipline that we know today as Mathematics.

Mathematics is a way of thinking and a way of organizing a logical proof. It is a wide branch of science which includes arithmetic, algebra, geometry, trigonometry, statistics, and calculus. If and when Mathematics is removed, the backbone of our material civilization would collapse. So is the importance of Mathematics and its Pedagogies.

Inspite of being an important subject, it is often misunderstood as a dreadful one. The objective of this course-ware is to provide a comprehensive study of each and every chapter. The pedagogy of Mathematics is built carefully in different levels. Emphasis is laid on development of clear concept in mathematics in a child, right from the foundation. This study-ware is very helpful in understanding all the complex topics as every topic is explained in a very easy language along with examples and solutions.

#### Features

• The content is purely based on NCERT syllabus.
• Systematically organised contents.
• Ensures comprehensive and thorough learning to develop clear concept.
• Notes are in-cooperated with images and/or visual models and additional information to provide a conceptual understanding.
• The contents published in our website are crafted by experts.
• Easy and quick access of chapter-wise questions and answers.
• Practice tests end of each chapter with different difficulty level are provided.
• Completely solved NCERT textbook questions.
• Student having trouble finding solutions to difficult NCERT problems can make use of the NCERT solutions provided.
• The solutions are arranged in a manner that ensures comprehensive learning and also makes better use of the student’s time.
• Multiple choice questions and Evaluation questions are included in each chapter.
• At the end of each section the scholar can self access their performance.
• Promotes self confidence and self esteem through self-paced learning.
• Enhances logical thinking and problem solving skills.
• This module is also helpful for students preparing for various competitive exams.

#### Contents

 Chapter 1 :Relations and Functions Chapter 2 :Inverse Trigonometric Functions Chapter 3 :Matrices Chapter 4 :Determinants Chapter 5 :Continuity and Differentiability Chapter 6 :Applications of Derivatives Chapter 7 :Integrals Chapter 8 :Applications of the Integrals Chapter 9 :Differential Equations Chapter 10 :Vectors Chapter 11 :Three - dimensional Geometry Chapter 12 :Linear Programming Chapter 13 :Probability

“Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.”
• Shakuntala Devi