Table of Content

## CBSE Class 12 Maths Term 2 Syllabus

Class 12 Maths Term 2 Syllabus 2022: Maths is a science that studies numbers, logical interpretation, and the shapes of practical situations. Class 11th and Class 12 Maths Syllabus is very helpful to clear engineering entrance examinations such as IIT JEE, BITSAT, VITEEE, etc. Central Board of Education has divided Class 12th Maths Syllabus into two terms for the academic year of 2021-22. Each term carries equal marks and holds an equal syllabus. In this article, we have covered the entire syllabus of the Class 12 Maths Syllabus with some Special tips, these tips are very helpful to lift the overall scores do check them out and bookmark this page.

## Class 12 Maths Term 2 Syllabus [Basic Maths]

Students study day and night to score well in the Class 12th examination, without a syllabus it becomes difficult to score good marks. Thus, we have mentioned the detailed CBSE Class 12 Maths Term 2 Syllabus. Refer to this syllabus and score well in 12th boards, because Class 12th result plays a key role in deciding the career of students ahead.

Class 12 Term 2 Answer Key 2022- Click to Check

CBSE Class 12 Maths Term 2 Sample Paper

## CBSE Class 12 Basic Maths Term 2 Syllabus

Prepare for CBSE Class 12 Basic Maths Term-2 Board Exam with the chapters as mentioned in CBSE Class 12 Basic Maths Term 2 Syllabus -

### Class 12 Term 2 Basic Maths Syllabus- Chapter 8 (Integrals)

1. Integration is an inverse process of differentiation
2. Integration of a variety of functions by substitution, by partial fractions and by parts
3. Evaluation of simple integrals
4. Fundamental Theorem of Calculus (without proof)
5. Basic properties of definite integrals and evaluation of definite integrals

### Class 12 Term 2 Basic Maths Syllabus- Chapter 9 (Applications of the Integrals)

1. Applications in finding the area under simple curves, especially lines, parabolas; area of circles /ellipses (in standard form only) (the region should be clearly identifiable)

### Class 12 Term 2 Basic Maths Syllabus- Chapter 10 (Differential Equations)

1. Definition
2. Order and degree
3. General and particular solutions of a differential equation
4. Solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree of the type: 𝑑𝑦/𝑑𝑥 = 𝑓(y/x).

### Class 12 Term 2 Basic Maths Syllabus- Chapter 11 (Vectors)

1. Vectors and scalars
2. Magnitude and direction of a vector
3. Direction cosines and direction ratios of a vector
4. Types of vectors (equal, unit, zero, parallel and collinear vectors)
5. The position vector of a point
6. Negative of a vector
7. Components of a vector
9. Multiplication of a vector by a scalar
10. Position vector of a point dividing a line segment in a given ratio
11. Definition
12. Geometrical Interpretation
13. Properties and application of scalar (dot) product of vectors, vector (cross) product of vectors

### Class 12 Term 2 Basic Maths Syllabus- Chapter 12 (Three-dimensional Geometry)

1. Direction cosines and direction ratios of a line joining two points.
2. Cartesian equation and vector equation of a line, coplanar and skew lines, the shortest distance between two lines.
3. Cartesian and vector equation of a plane.
4. Distance of a point from a plane.

### Class 12 Term 2 Basic Maths Syllabus- Chapter 13 (Probability)

1. Conditional probability
2. Multiplication theorem on probability
3. Independent events
4. Total probability
5. Bayes’ theorem
6. Random variable and its probability distribution

## CBSE Class 12 Applied Maths Term 2 Syllabus

Prepare for CBSE Class 12 Applied Maths Term-2 Board Exam with the chapters as mentioned in CBSE Class 12 Applied Maths Term 2 Syllabus -

### Class 12 Term 2 Applied Maths Syllabus- Calculus (Continued)

1. Integration and its Applications- Integration, Indefinite Integrals as family of curves, Definite Integrals as area under the curve, Application of Integration
2. Differential Equations and Modeling- Differential Equations, Application of Differential Equations

### Class 12 Term 2 Applied Maths Syllabus- Inferential Statistics

1. Population and Sample
2. Parameter and Statistics and Statistical Interferences
3. t-Test (one-sample t-test and two independent groups t-test)

### Class 12 Term 2 Applied Maths Syllabus- Index Numbers and Time-series (Continued)

1. Time Series
2. Components of Time Series
3. Time Series analysis for univariate data
4. Secular Trend
5. Methods of Measuring trend

### Class 12 Term 2 Applied Maths Syllabus- Financial Mathematics

1. Perpetuity, Sinking Funds
2. Valuation of Bonds
3. Calculation of EMI
4. Calculation of Returns, Nominal Rate of Return
5. Compound Annual Growth Rate
6. Linear method of Depreciation

### Class 12 Term 2 Applied Maths Syllabus- Linear Programming

1. Introduction and related terminology
2. The mathematical formulation of Linear Programming Problem
3. Different types of Linear Programming Problems
4. Graphical method of solution for problems in two variables
5. Feasible and Infeasible Regions
6. Feasible and infeasible solutions, optimal feasible solution

### Internal Assessment Scheme

Refer to the table below to know the Internal Assessment Scheme for both the terms. Each term comprises 10 marks, both the terms contain a total of 20 marks. Students should perform well in periodic tests and Maths Activities conducted in the school to fetch maximum marks.

CBSE Class 12 Term-2 Date Sheet 2022- Click to Check

## CBSE Class 12 Basic Maths Syllabus for Term 1

The syllabus is a prerequisite to making a roadmap of any exam, here we have indexed the detailed Class 12th Maths Syllabus for  Term-I, it comprises 50 marks including Internal Assessment.

## CBSE Class 12 Basic Maths Syllabus 2022- Term 1

The first step to prepare for CBSE Class 12th Maths examination is acquiring complete knowledge of the syllabus. The majority of the students skip to know the syllabus of the exam, which leads to a lack of preparation and they end up losing easy marks. Hence to score good marks in CBSE Class 12th Maths, refer to the detailed syllabus given below:

### Class 12 Term 1 Basic Maths Syllabus- Chapter 1 (Relations and Functions)

1. Types of relations: reflexive, symmetric
2. Transitive and equivalence relations
3. One to one and onto functions

### Class 12 Term 1 Basic Maths Syllabus- Chapter 2 (Inverse Trigonometric Functions)

1. Definition
2. Range
3. Domain
4. Principal value branch

### Class 12 Term 1 Basic Maths Syllabus- Chapter 3 (Matrices)

1. Concept, notation, order, equality, types of matrices
2. Zero and identity matrix, transpose of a matrix
3. Symmetric and skew-symmetric matrices.
4. Operation on matrices: Addition and multiplication and multiplication with a scalar.
5. Simple properties of addition, multiplication and scalar multiplication.
6. Noncommutativity of multiplication of matrices
7. Invertible matrices; (Here all matrices will have real entries).

### Class 12 Term 1 Basic Maths Syllabus- Chapter 4 (Determinants)

1. Determinant of a square matrix (up to 3 x 3 matrices)
2. Minors, co-factors and applications of determinants in finding the area of a triangle.
3. Adjoint and inverse of a square matrix.
4. Solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.

### Class 12 Term 1 Basic Maths Syllabus- Chapter 5 (Continuity and Differentiability)

1. Continuity and differentiability, a derivative of composite functions
2. Chain rule, a derivative of inverse trigonometric functions
3. Derivative of implicit functions.
4. Concept of exponential and logarithmic functions.
5. Derivatives of logarithmic and exponential functions.
6. Logarithmic differentiation, derivative of functions expressed in parametric forms.
7. Second-order derivatives

### Class 12 Term 1 Basic Maths Syllabus- Chapter 6 (Applications of Derivatives)

1. Applications of derivatives: increasing/decreasing functions, tangents and normals, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool).
2. Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

### Class 12 Term 1 Basic Maths Syllabus- Chapter 7 (Linear Programming)

1. Introduction
2. Related terminology such as constraints, objective function, optimization
3. Different types of linear programming (L.P.) problems.
4. Graphical method of solution for problems in two variables, feasible and infeasible regions (bounded), feasible and infeasible Class 12 Maths Term 1 Syllabus [Applied Maths]
5. solutions, optimal feasible solutions (up to three non-trivial constraints)

## CBSE Class 12 Applied Maths Syllabus 2022- Term 1

The first step to prepare for the CBSE Class 12th Applied Maths examination is acquiring complete knowledge of the syllabus. Hence to score good marks in CBSE Class 12 Term 1 Applied Maths, refer to the detailed syllabus given below:

### Class 12 Term 1 Applied Maths Syllabus- Numbers, Quantification and Numerical Applications

1. Modulo Arithmetic
2. Congruence Modulo
3. Alligation and Mixture
4. Numerical Problems- Boats and Streams (upstream and downstream), Pipes and Cisterns, Races and Games, Partnership, Numerical Inequalities

### Class 12 Term 1 Applied Maths Syllabus- Algebra

1. Matrices and types of matrices
2. Equality of matrices, Transpose of a matrix, Symmetric and Skew symmetric matrix
3. Algebra of Matrices
4. Determinants
5. Inverse of a matrix
6. Solving system of simultaneous equations using matrix method, Cramer’s rule and row reduction method
7. Simple applications of matrices and determinants including Leontief input output model for two variables

### Class 12 Term 1 Applied Maths Syllabus- Calculus

1. Higher Order Derivatives
2. Application of Derivatives
3. Marginal Cost and Marginal Revenue using derivatives
4. Increasing /Decreasing Functions
5. Maxima and Minima

### Class 12 Term 1 Applied Maths Syllabus- Probability Distribution

1. Probability Distribution
2. Mathematical Expectation
3. Variance
4. Binomial Distribution
5. Poison Distribution
6. Normal Distribution

### Class 12 Term 1 Applied Maths Syllabus- Index Numbers and Time-based Series

1. Index Numbers
2. Construction of Index numbers
3. Test of adequacy of Index numbers

### Internal Assessment Scheme

Refer to the table below to know the Internal Assessment Scheme for both the terms. Each term comprises 10 marks, both the terms contain a total of 20 marks. Students should perform well in periodic tests and Maths Activities conducted in the school to fetch maximum marks.

### Special tips for Students

1. Planning: Make a daily study plan based on the Maths syllabus and follow that plan religiously. Many students failed to follow their study plan, failing of plan depends upon lack of discipline. Discipline is hard to inculcate in life but it is not impossible.
2. Practice: Go through the concepts and then solve problems based on those concepts, it will help students to understand concepts in-depth.
3. Take Baby Steps: If you can’t achieve daily targets, then make short targets. Achieving targets will give you internal satisfaction, gradually increase your targets.
4. Revision: Keep track of topics daily that have been completed. Revise them in short intervals of time, by revision you can retain them for a longer period.
5. Study with a Group: Studying with classmates encourages an interactive environment to keep you engaged. This gives you a chance to test your knowledge with others. It will boost your confidence if you take part actively and make others understand the concepts if they are stuck anywhere.

Class 12 Maths Term 2 Syllabus 2022- FAQs

There are 6 chapters in Class 12 Maths Syllabus Term 2

Yes, NCERTs are more than enough to complete the CBSE Class 12 Maths Term 2 Syllabus

Class 12th Maths is not a cakewalk for students but if students study with proper planning they can surely fetch good marks in Class 12th Maths.