NCERT Class 12 Maths Notes - Download Chapter wise Free PDFs
Class 12 Mathematics plays a crucial role in board exams, and sometimes students might feel some difficulties while solving the questions, as it contains some advanced and complex topics that require a clear understanding of concepts and regular practice. We at Careers360 provide you with the best notes on class 12 maths to make it easy for you. These notes are not only helpful for board exams but also for competitive exams like JEE, NDA, and others. Apart from this, having the concepts clear in class 12th maths is also important to solve the numerical problems in Physics. To understand the variety of questions and how hard they are, students practice with sample papers and previous year's question papers from Class 12.
This Story also Contains
- NCERT Class 12 Maths Notes Chapter-wise
- Importance of Studying NCERT Class 12 Maths Notes
- NCERT Class 12 Mathematics Book: Complete Guide & Overview
- NCERT Notes Subject-Wise
- NCERT Solutions Subject-Wise
- NCERT Exemplar Solutions Subject Wise
- NCERT Books and Syllabus
These notes provide a clear and simple explanation of every chapter, helping students understand the concepts quickly. Class 12th maths comprises Relations and functions, Inverse trigonometric function, Matrices and Determinants, Differential Calculus, Integral Calculus, Vectors, 3D geometry, and Vector. These notes are useful for revision before exams and are prepared by experts as per the latest NCERT syllabus. Students can also check the NCERT Solutions for Class 12 Maths to strengthen their preparation and boost their confidence. Explore NCERT Books, Solutions, Syllabus, and Exemplar Problems with Solutions for complete syllabus coverage in this NCERT article.
NCERT Class 12 Maths Notes Chapter-wise
The NCERT Class 12 Maths Notes provided here will help you to prepare for your exams. These notes cover all the important concepts in a simple, comprehensive, and detailed manner. Filled with lots of examples, these notes will explain all the topics, making it easier for students to understand. Explore the chapter-wise NCERT Class 12 Maths notes from the table below.
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Download EBookImportance of Studying NCERT Class 12 Maths Notes
Class 12 Maths notes from NCERT are great for students preparing for board exams and other competitive exams such as JEE Mains, Advanced, EAMCET, VIT, BITSAT, and more. These NCERT notes for class 12 Maths cover all the chapters, important concepts, formulas, giving details about problems and theories, and helping students with their exam questions. You can download the PDF version of these notes to read them easily. Here are some more reasons to read these notes.
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Conceptual Clarity: These NCERT Maths notes simplify complex topics in a student-friendly manner so that students can learn the fundamental concepts thoroughly.
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Exam-Oriented Preparation: These notes are primarily focused on board exams and help students to prepare for those exams.
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Time-Saving Revision Material: Students can revise in a short span of time with the help of these notes.
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Aligned with Board Syllabus: These NCERT class 12 Maths notes strictly comply with the latest syllabus and cover all the topics related to the board exam.
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Strong Foundation for Competitive Exams: The concepts explained in NCERT notes are beneficial for competitive exams like JEE, NDA, and CUET, where conceptual expertise is examined.
NCERT Class 12 Mathematics Book: Complete Guide & Overview
Mathematics is a key subject in the class board exam, and the NCERT mathematics book is the perfect companion on this journey. The book consists of two parts, each containing 6 chapters and 7 chapters, respectively. Here is the overview of topics and chapters of the NCERT Maths book.
Part 1:
Chapter 1: Relations and Functions
1.1 Introduction
1.2 Types of Relations
1.3 Types of Functions
1.4 Composition of Functions and Invertible Functions
Chapter 2: Inverse Trigonometric Functions
2.1 Introduction
2.2 Basic Concepts
2.3 Properties of Inverse Trigonometric Functions
Chapter 3: Matrices
3.1 Introduction
3.2 Matrix
3.4 Operations on Matrices
3.5 Transpose of a Matrix
3.6 Symmetric and Skew Symmetric Matrices
3.7 Invertible Matrices
Chapter 4: Determinants
4.1 Introduction
4.2 Determinant
4.3 Area of a Triangle
4.4 Minors and Cofactors
4.5 Adjoint and Inverse of a Matrix
4.6 Applications of Determinants and Matrices
Chapter 5: Continuity and Differentiability
5.1 Introduction
5.2 Continuity
5.3 Differentiability
5.4 Exponential and Logarithmic Functions
5.5 Logarithmic Differentiation
5.6 Derivatives of Functions in Parametric Forms
5.7 Second Order Derivative
Chapter 6: Application of Derivatives
6.1 Introduction
6.2 Rate of Change of Quantities
6.3 Increasing and Decreasing Functions
6.4 Maxima and Minima
Part 2:
Chapter 7: Integrals
7.1 Introduction
7.2 Integration as an Inverse Process of Differentiation
7.3 Methods of Integration
7.4 Integrals of Some Particular Functions
7.5 Integration by Partial Fractions
7.8 Fundamental Theorem of Calculus
7.9 Evaluation of Definite Integrals by Substitution
7.10 Some Properties of Definite Integrals
Chapter 8: Application of Integrals
8.1 Introduction
8.2 Area under Simple Curves
Chapter 9: Differential Equations
9.1 Introduction
9.2 Basic Concepts
9.3 General and Particular Solutions of a Differential Equation
9.4 Methods of Solving First Order, First Degree Differential Equations
Chapter 10: Vector Algebra
10.1 Introduction
10.2 Some Basic Concepts
10.3 Types of Vectors
10.4 Addition of Vectors
10.5 Multiplication of a Vector by a Scalar
10.6 Product of Two Vectors
Chapter 11: Three Dimensional Geometry
11.1 Introduction
11.2 Direction Cosines and Direction Ratios of a Line
11.3 Equation of a Line in Space
11.4 Angle between Two Lines
11.5 Shortest Distance between Two Lines
Chapter 12: Linear Programming
12.1 Introduction
12.2 Linear Programming Problem and its Mathematical Formulation
Chapter 13: Probability
13.1 Introduction
13.2 Conditional Probability
13.3 Multiplication Theorem on Probability
13.4 Independent Events
13.5 Bayes' Theorem
NCERT Notes Subject-Wise
Here, students can find a subject-wise listing of NCERT notes. These are helpful for quickly revising all the concepts, topics, and subtopics discussed. Practice these notes to score well in the exam.
NCERT Solutions Subject-Wise
After learning the concepts of each chapter in the NCERT books of class 12, students should complete the exercise dedicated to that chapter. Sometimes they get stuck in problems or need some resources to check if they have solved it correctly. The following links will help them in this purpose.
NCERT Exemplar Solutions Subject Wise
After completing the textbook exercise, students can practice the NCERT exemplar to practice and revise. The following links will take you to the NCERT exemplar solutions of different subjects.
NCERT Books and Syllabus
Students should always analyse the latest NCERT syllabus before making a study routine. The following links will help them check the syllabus. Students can use the following links to access more reference books.
Frequently Asked Questions (FAQs)
Q: Are these NCERT Class 12 Maths chapter-wise notes enough for competitive exams as well?
A:
Yes, these notes act like a base to any examination, but remember competitive exams require advanced thinking, keeping basics as their aim and expanding their thinking ability. But alone, these notes cannot help you to score in a competitive exam, but for sure will be very important to act as a base.
Q: Which chapters are to be given more importance in Class 12 Maths chapter-wise notes?
A:
Weightage of each chapter is almost equal in board exams. So, all chapters are equally important. Going through all the chapters and concepts will help you score maximum marks in your exams.
Q: How many chapters do we have in NCERT Class 12 Maths chapter-wise notes?
A:
There are a total of 13 chapters in class 12 NCERT Maths notes. These notes are created by the expert team of Careers360, keeping in mind the needs of the students. Therefore, students can use these notes as an efficient revision tool.
Q: What are the resources that I should follow for Class 12 Maths chapter-wise notes so that I can gain maximum marks?
A:
We have a lot of resources that are available these days on the internet, but always following government textbooks is a great idea, and going through every nook and corner of the NCERT textbook is more than enough to score a distinction. Educational sites like Careers360 also provide quality NCERT Class 12 Maths Notes.
Q: How will these notes help me in my examination point of view?
A:
Subject matter experts designed the notes to cover all NCERT topics and save time by efficiently presenting key points. These notes help you to gain maximum marks in board examinations.
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