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You can also refer to the NCERT solutions for class 12 maths to gear up your learning abilities.
Table of Content
|Highlights of NCERT syllabus for Class 12 Maths|
|NCERT Syllabus for Class 12 Maths 2022-2023|
|Tips to prepare the NCERT Syllabus for Class 12 Maths|
- Studying from NCERT books prepared by the National Council of educational research and training (NCERT) can help crack competitive exams along with that board exams.
- The NCERT Syllabus for Class 12 Maths helps students with the relevant and fundamental concepts.
- The NCERT books are published by the National Council of Educational Research and Training (NCERT) and framed by experts. Therefore, these books emerge as reliable course material for studies.
- NCERT solutions are also a great source of help for students. These solutions can help boost the preparation for board exams.
- The NCERT Syllabus for Class 12 Maths does not mix up all the concepts and makes it clumsy. Instead, the books are prepared in a brief and detailed structure that promotes better understanding.
|Chapter 1 - Relations and Functions||Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions||08|
|Chapter 2 - Inverse Trigonometric Functions||Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions|
|Chapter 3 - Matrices||Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Oncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries)||10|
|Chapter 4 - Determinants||Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.|
|Chapter 5 - Continuity and Differentiability||Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, 𝑙𝑖𝑘𝑒 sin−1 𝑥 , cos−1 𝑥 and tan−1 𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives||35|
|Chapter 6 - Application of Derivatives||Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations)|
|Chapter 7 - Integrals||Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. ∫ dx x 2 ± a 2, ∫ dx √x 2 ± a 2 , ∫ dx √a 2 − x 2 , ∫ dx ax2 + bx + c , ∫ dx √ax2+bx+c ∫ px + q ax2 + bx + c dx, ∫ px + q √ax2+bx + c dx, ∫ √a 2 ± x 2 dx, ∫ √x 2 − a 2 dx ∫√𝑎𝑥2 + 𝑏𝑥 + 𝑐 𝑑𝑥, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals|
|Chapter 8 - Application of Integrals||Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)|
|Chapter 9 - Differential Equations||Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: dy dx + py = q, where p and q are functions of x or constants. d𝑥 d𝑦 + px = q, where p and q are functions of y or constants.|
|Chapter 10 - Vectors||Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.||14|
|Chapter 11 - Three Dimensional Geometry||Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.|
|Chapter 12 - Linear Programming||Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).||05|
|Chapter 13 - Probability||Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.||08|
- Walk around the NCERT Syllabus for Class 12 and make a timetable according to the marks distribution among the chapters. It will help you stick to your goal and work on it to achieve it.
- After completing your NCERT Syllabus for Class 12 Maths, solve the practice papers to self-access your preparations.
- Master your concepts on 3-dimensional geometry, Calculus, algebra, and vectors as these chapters appear in the exams for higher marks.
- Prepare a table of formulae and theorems and paste it at your study place. It will help you memorize them.
- Try to understand the concepts and logic behind the solution to questions.
NCERT Syllabus For Class 12
NCERT SYllabus for Class 12 Physics
NCERT Syllabus for Class 12 Chemistry
NCERT Syllabus for Class 12 Biology
Source: safalta.comYou can refer to the information above to understand the syllabus for Class 12 Maths.
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