**CBSE Class 11 Maths Syllabus 2022-23: **Maths is a science that studies numbers, logical interpretation, and the shapes of practical situations. Class 11th Maths Syllabus forms the foundation of any maths-related competitive exams and is very helpful to clear engineering entrance examinations such as IIT JEE, BITSAT, VITEEE, etc. In this article, we have covered the entire syllabus of the Class 11 Maths Syllabus. Scroll down to know more about the syllabus.

## CBSE Class 11 Maths Syllabus 2022-23(Basic Maths)

Students study day and night to score well in the Class 11 examination, but without knowing the syllabus it becomes impossible to score good marks. Thus, we have mentioned the detailed CBSE Class 11 Maths Syllabus 2022-23. Refer to this syllabus so that it becomes easy for you to know What to study and What not.

CBSE Class 11 Maths Syllabus 2022-23 | ||

S.No. | Units | Marks |

I. | Sets and Functions | 23 |

II. | Algebra | 25 |

III. | Coordinate Geometry | 12 |

IV. | Calculus | 08 |

V. | Statistics and Probability | 12 |

Total | 80 | |

Internal Assessment | 20 | |

Grand Total Marks | 100 |

## CBSE Class 12 Basic Maths Syllabus 2022-23( In detail)

Prepare for the CBSE Class 11 Basic Maths Syllabus 2022-23 Board Exam with the chapters mentioned in CBSE Class 11 Basic Maths Syllabus 2022-23 which consists of 80 Marks and 20 Marks for Internal Assessment

### Unit-I: Sets and Functions

**1. Sets **

- Sets and their representations, Empty sets, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations).
- Universal set.
- Venn diagrams.
- Union and Intersection of sets.
- Difference of sets.
- Complement of a set.
- Properties of Complement.

**2. Relations & Functions **

- Ordered pairs.
- Cartesian product of sets. A number of elements in the Cartesian product of two finite sets.
- Cartesian product of the set of reals with itself (up to R x R x R).
- Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation.
- Function as a special type of relation.
- Pictorial representation of a function, domain, co-domain, and range of a function.
- Real valued functions, domain, and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, and greatest integer functions, with their graphs.
- Sum, difference, product, and quotients of functions.

**3. Trigonometric Functions**

- Positive and negative angles.
- Measuring angles in radians and in degrees and conversion from one measure to another.
- Definition of trigonometric functions with the help of unit circles. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny,cosx & cosy and their simple applications. Deducing identities like the following: tan(x ± y) = tan x ± tan y 1 ∓ tan x tan y, cot(x ± y) = cot x cot y ∓ 1 cot y ± cot x sinα ± sinβ = 2sin 12 (α ± β)cos12(α ∓ β) cosα + cosβ = 2cos12 (α + β)cos12 (α − β) 𝑐𝑜𝑠𝛼 − 𝑐𝑜𝑠𝛽 = −2𝑠𝑖𝑛12 (𝛼 + 𝛽)𝑠𝑖𝑛12 (𝛼 − 𝛽) Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x, and tan3x

### Unit-II: Algebra

**1. Complex Numbers and Quadratic Equations**

- Need for complex numbers, especially√−1, to be motivated by the inability to solve some of the quadratic equations.
- Algebraic properties of complex numbers.
- Argand plane.

**2. Linear Inequalities **

- Linear inequalities.
- Algebraic solutions of linear inequalities in one variable and their representation on the number line.

**3. Permutations and Combinations **

- The fundamental principle of counting. Factorial n.
- (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications.

**4. Binomial Theorem **

- Historical perspective, statement, and proof of the binomial theorem for positive integral indices.
- Pascal’s triangle, simple applications.

**5. Sequence and Series **

- Sequence and Series.
- Arithmetic Mean (A.M.)
- Geometric Progression (G.P.), general term of a G.P., the sum of n terms of a G.P., infinite G.P. and its sum,
- Geometric mean (G.M.),
- The relation between A.M. and G.M.

### Unit-III: Coordinate Geometry

**1. Straight Lines**

- Brief recall of two-dimensional geometry from earlier classes.
- The slope of a line and the angle between two lines.
- Various forms of equations of a line: parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form,
- Distance of a point from a line.

**2. Conic Sections **

- Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line, and a pair of intersecting lines as a degenerated case of a conic section.
- Standard equations and simple properties of parabola, ellipse, and hyperbola.
- Standard equation of a circle.

**3. Introduction to Three-dimensional Geometry **

- Coordinate axes and coordinate planes in three dimensions.
- Coordinates a point.
- Distance between two points.

### Unit-IV: Calculus

1. Limits and Derivatives

- A derivative is introduced as a rate of change both as that of distance function and geometrically.
- The intuitive idea of limit.
- Limits of polynomials and rational functions trigonometric, exponential, and logarithmic functions.
- The definition of derivative relates to the slope of the tangent of the curve, a derivative of the sum, difference, product, and quotient of functions.
- Derivatives of polynomial and trigonometric functions.

### Unit-V Statistics and Probability

**1. Statistics **

- Measures of Dispersion: Range, Mean deviation, variance, and standard deviation of ungrouped/grouped data.

**2. Probability **

- Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes.
- Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

## CBSE Class 11 Basic Maths Syllabus Internal Assessment 2022-23

CBSE Class 11 Basic Maths Syllabus Internal Assessment 2022-23 | |

Periodic Tests ( Best 2 out of 3 tests conducted) | 10 Marks |

Mathematics Activities | 10 Marks |

Total Marks | 20 Marks |

## CBSE Class 11 Applied Maths Syllabus 2022-23

CBSE Class 11 Applied Maths Syllabus 2022-23 | ||

S.No. | Units | Marks |

I. | Numbers, Quantification, and Numerical Applications | 09 |

II. | Algebra | 15 |

III. | Mathematical Reasoning | 06 |

IV. | Calculus | 10 |

V. | Probability | 08 |

VI. | Descriptive Statistics | 12 |

VII. | Basics of Financial Mathematics | 15 |

VIII. | Coordinate Geometry | 05 |

Total | 80 | |

Internal Assessment | 20 | |

Grand Total | 100 |

## CBSE Class 12 Applied Maths Syllabus 2022-23 (In detail)

Prepare for the CBSE Class 11 Applied Maths Syllabus 2022-23 Board Exam with the chapters mentioned in CBSE Class 11 Basic Maths Syllabus 2022-23 which consists of 80 Marks and 20 Marks for Internal Assessment.

### Unit – 1 Number, Quantification, And Numerical Applications

**Binary Numbers**

- Express decimal numbers in a binary system
- Express binary numbers in the decimal system

**Indices, Logarithm and Antilogarithm**

- Relate indices and logarithm /antilogarithm
- Find logarithm and antilogarithms of the given number

**Laws and properties of logarithms**

- Enlist the laws and properties of logarithms
- Apply laws of logarithm

**Simple applications of logarithm and antilogarithm**

- Use logarithm in different applications

**Averages**

- Determine the average for a given data

**Clock**

- Evaluate the angular value of a minute
- Calculate the angle formed between two hands of a clock at a given time
- Calculate the time for which hands of the clock meet

**Calendar**

- Determine Odd days in a month/ year/ century
- Decode the day for the given date

**Time, Work**,** and Distance**

- Establish the relationship between work and time
- Compare the work done by the individual/group w.r.t. time
- Calculate the time taken/ distance covered/ Work done from the given data

**Mensuration**

- Solve problems based on surface area and volume of 2D and 3D shapes
- Calculate the volume/ surface area for solid formed using two or more shapes

**Seating arrangement**

- Create a suitable seating plan/ draft as per given conditions (Linear/circular)
- Locate the position of a person in a seating arrangement

### Unit – 2 Algebra

**Introduction to sets – definition**

- Define a set as a well-defined collection of objects.

**Representation of sets**

- Represent a set in Roster form and Set builder form

**Types of sets and their notations**

- Identify different types of sets on the basis of a number of elements in the set
- Differentiate between equal set and equivalence set

**Subsets**

- Enlist all subsets of a set
- Find the number of subsets of a given set
- Find the number of elements of a power set

**Intervals**

- The express subset of real numbers as intervals

**Venn diagrams **

- Apply the concept of the Venn diagram to understand the relationship between sets
- Solve problems using the Venn diagram

**Operations on sets**

- Perform operations on sets to solve practical problems

**Ordered pairs Cartesian product of two sets **

- Explain the significance of the specific arrangement of elements in a pair
- Write Cartesian product of two sets
- Find the number of elements in a Cartesian product of two sets

**Relations**

- Express relation as a subset of the Cartesian product
- Find the domain and range of a relation

**Sequence and Series**

- Differentiate between sequence and series

**Arithmetic Progression**

- Identify Arithmetic Progression (AP)
- Establish the formulae of finding 𝑛 𝑡ℎ term and sum of n terms
- Solve application problems based on AP
- Find the arithmetic mean (AM) of two positive numbers

**Geometric Progression**

- Identify Geometric Progression (GP)
- Derive the 𝑛 𝑡ℎ term and the sum of n terms of a given GP
- Solve problems based on applications of GP
- Find the geometric mean (GM) of two positive numbers
- Solve problems based on a relation between AM and GM

**Applications of AP and GP**

- Apply appropriate formulas of AP and GP to solve application problems

**Factorial**

- Define the factorial of a number
- Calculate the factorial of a number

**Fundamental Principle of Counting**

- Appreciate how to count without counting

**Permutations**

- Define permutation
- Apply the concept of permutation to solve simple problems

**Combinations**

- Define combination
- Differentiate between permutation and combination
- Apply the formula of combination to solve the related problems

### Unit -3 Mathematical Reasoning

**Logical reasoning**

- Solve logical problems involving odd man out, syllogism, blood relation, and coding-decoding

**Functions **

- Identify dependent and independent variables
- Define a function using the dependent and independent variable

**Domain and Range of a function**

- Define the domain, range, and co-domain of a given function

**Types of functions**

- Define various types of functions
- Identify domain, codomain, and range of the function

**Graphical representation of functions**

- Representation of function graphically

**Concepts of limits and continuity of a function **

- Define the limit of a function
- Solve problems based on the algebra of limits
- Define continuity of a function

**Instantaneous rate of change **

- Define the instantaneous rate of change

**Differentiation as a process of finding derivative**

- Find the derivative of the functions

**Derivatives of algebraic functions using Chain Rule **

- Find the derivative a function of a function

### Unit – 5 Probability

**Introduction**

- Appreciate the use of probability in daily life situations

**Random experiment and sample space**

- Define random experiment and sample space with suitable examples

**Event**

- Define an event
- Recognize and differentiate different types of events and find their probabilities

**Conditional Probability**

- Define the concept of conditional probability
- Apply reasoning skills to solve problems based on conditional probability

**Total Probability **

- Interpret mathematical information and identify situations when to apply total probability
- Solve problems based on the application of total probability

**Bayes’ Theorem**

State Bayes’ theorem

- Solve practical problems based on Bayes’ Theorem

### Unit- 6 Descriptive Statistics

**Measure of Dispersion **

- Understand the meaning of dispersion in a data set
- Differentiate between range, quartile deviation, mean deviation, and standard deviation
- Calculate range, quartile deviation, mean deviation, and standard deviation for the ungrouped and grouped data set
- Choose the appropriate measure of dispersion to calculate the spread of data.

**Skewness and Kurtosis**

- Define Skewness and Kurtosis using a graphical representation of a data set
- Interpret Skewness and Kurtosis of a frequency distribution by plotting the graph
- Calculate the coefficient of Skewness and interpret the results

**Percentile rank and Quartile rank**

- Define Percentile rank and Quartile rank
- Calculate and interpret the Percentile and Quartile rank of scores in a given data set

**Correlation**

- Define correlation in values of two data sets
- Calculate Product moment correlation for ungrouped and grouped data
- Calculate Karl Pearson’s coefficient of correlation
- Calculate Spearman’s rank correlation
- Interpret the coefficient of correlation

### Unit – 7 Financial Mathematics

**Interest and Interest Rates**

- Define the concept of Interest Rates
- Compare the difference between Nominal Interest Rate, Effective Rate
- Real Interest Rate
- Solve Practical applications of interest rate

**Accumulation with simple and compound interest**

- Interpret the concept of simple and compound interest
- Calculate Simple Interest and Compound Interest

**Simple and compound interest rates with equivalency**

- Explain the meaning, nature, and concept of equivalency
- Analyze various examples for understanding the annual equivalency rate

**The effective rate of interest **

- Define with examples the concept of effective rate of interest

**Present value, net present value**,** and future value**

- Interpret the concept of compounding and discounting along with practical applications
- Compute the net present value
- Apply net present value in capital budgeting decisions

**Annuities, Calculating the** **value of Regular Annuity**

- Explain the concept of Immediate Annuity, Annuity due, and Deferred Annuity
- Calculate General Annuity

**Simple applications of regular annuities**

- Calculate the future value of the regular annuity, annuity due
- Apply the concept of Annuity in real-life situations

**Tax, calculation of tax, simple applications of tax calculation in Goods and service tax, Income Tax**

- Explain fundamentals of taxation
- Differentiate between Direct and indirect tax
- Define and explain GST Calculate GST
- Explain rules under State Goods and Services Tax (SGST) Central Goods and Services Tax (CGST) and Union Territory Goods and Services Tax (UTGST)

**Bills, tariff rates, fixed charge, surcharge, service charge**

- Describe the meaning of bills and their various types
- Analyze the meaning and rules determining tariff rates
- Explain the concept of fixed charge

**Calculation and interpretation of electricity bills, water supply bills**,** and other supply bills**

- To interpret and analyze electricity bills, water bills, and other supply bills
- Evaluate how to calculate units consumed under electricity bills/water bill

### Unit – 8 Coordinate Geometry

**Straight line**

- Find the slope and equation of the line in various forms
- Find the angle between the two lines
- Find the perpendicular from a given point on a line
- Find the distance between two parallel lines

**Circle **

- Define a circle
- Find different forms of equations for a circle
- Solve problems based on applications of circle

**Parabola **

- Define parabola and related terms
- Define the eccentricity of a parabola
- Derive the equation of the parabola