CBSE Class 11 Applied Mathematics 2026-27 Syllabus

There are seven units - (i) Numbers, Quantification and Numerical Applications (ii) Algebra (iii) Calculus (iv) Combinatorics and Probability (v) Descriptive Statistics (vi) Basics of Financial Mathematics (vii) Coordinate Geometry.

CBSE Class 11 Applied Mathematics 2026-27 Syllabus

Exam Structure

# Unit Marks
I Numbers, Quantification and Numerical Applications 10
II Algebra 18
III Calculus 12
IV Combinatorics and Probability 10
V Descriptive Statistics 10
VI Basics of Financial Mathematics 15
VII Coordinate Geometry 5
  Total 80

Unit 1: Numbers, Quantification and Numerical Applications

Numbers in Indian Knowledge System and Binary Numbers

  • Introduction to Numbers in Indian Knowledge System
  • Conversion of decimal numbers to binary system and vice-versa and its applications

Indices, Logarithm and Antilogarithm

  • Indices and its properties
  • Common and Natural logarithm
  • Laws of logarithms
  • Logarithm and exponential as inverse operations
  • Procedure of finding logarithm and antilogarithms of given number
  • Applications of logarithms

Clocks

  • Evaluate the angular value of a minute
  • Measure of angle formed between two hands of clock at given time
  • Calculation of the time for which hands of clock meet

Calendar

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

Time and Work

  • Relationship between work and time
  • Comparison of the work done by the individual / group w.r.t. time

Speed, Distance and Time

  • The time taken/ distance covered from the given data

Seating arrangement

  • Creation of seating plan/ draft as per given conditions (Linear/circular)
  • Locating the position of a person in a seating arrangement

Unit 2: Algebra

Introduction to Sets - Sets and their representation

  • Set as well-defined collection of objects
  • Representation of a set in Roster form and Set builder form
  • Different types of sets on the basis of number of elements in the set
  • Differentiate between equal set and equivalent set

Subsets, Intervals as subsets

  • Subsets
  • Power set and its elements
  • Universal Set
  • Subset of real numbers as intervals

Venn Diagrams and Operations on Sets

  • Concept of Venn diagram to understand the relationship between sets
  • Problems using Venn diagram
  • Operations on sets

Ordered pairs

  • Significance of specific arrangement of elements in a pair
  • Cartesian product of two sets

Relations

  • Expressing relation as a subset of Cartesian product
  • Domain and range of a relation

Mathematical Logic

  • Logical problems involving odd man out, syllogism, blood relation and coding-decoding

Sequences and Series

  • Differentiate between sequence and series

Arithmetic Progression

  • Arithmetic mean (AM) of two positive numbers

Geometric Progression

  • Introduction of Geometric Progression (GP)
  • 𝑛𝑡ℎ term of a GP
  • sum of n terms and sum of infinite terms of a GP
  • Problems based on applications of GP
  • Geometric mean (GM) of two positive numbers
  • Relation between AM and GM and related problems
  • Application problems based on AP and GP

Unit 3: Calculus

Functions and their graphs

  • Dependent and independent variables
  • Definition of function using dependent and independent variable
  • Domain, range and codomain of a given function
  • Types of functions
  • Graphical representation of function

Limits and continuity of functions

  • Limit of a function
  • Continuity of a function

Differentiation

  • Instantaneous rate of change
  • Finding the derivative of the functions

Algebra of derivatives

  • Differentiation of addition, subtraction, multiplication and division of two or more functions
  • Differentiation of a function of a function

Unit 4: Combinatorics and Probability

Combinatorics

  • Factorial of a number
  • Fundamental Principle of Counting
  • Concept of Permutation
  • Simple problems based on permutations
  • Define combination
  • Difference between permutation and combination
  • Problems based on Combinations

Probability

  • Random experiment and sample space with suitable examples
  • Event and its Types
  • Concept of Probability
  • Problems based on calculating probabilities in real life situations
  • Concept of conditional probability

Unit 5: Descriptive Statistics

Measures of Dispersion

  • Meaning of dispersion in a data set
  • Range, mean deviation, standard deviation and variance

Percentiles

  • Concept of Percentile rank
  • Calculate and interpret Percentile rank of scores in a given ungrouped data set

Correlation

  • Concept of Correlation
  • Karl Pearson’s coefficient of Correlation for ungrouped data
  • Spearman’s Rank Correlation for ungrouped data

Regression

  • Concept of Regression analysis
  • Dependent and Independent variables
  • Regression Coefficients
  • Regression Equations
  • Properties of Regression Equations

Unit 6: Financial Mathematics

Interest and Interest Rates

  • Concept of Interest Rates
  • Comparison between Nominal Interest Rate, Effective Rate and Real Interest Rate
  • Practical applications of interest rate w.r.t simple and compound interest
  • Concept of effective rate of interest

Annuities

  • Meaning of Immediate Annuity, Annuity due and Deferred Annuity
  • Future and present value of ordinary annuity, annuity due (up to 3 period)
  • Concept of Annuity in real life situations

Taxes and Utility Bills

  • Concept of Income tax and GST w.r.t. tax new tax guidelines
  • Utility bills and its various types - Electricity, Water and PNG Bills

Unit 7: Coordinate Geometry

Straight Line

  • Concept of slope of a line
  • Various forms of equation of line

Circles and Parabola

  • Determination of the equations of circle and parabola as a locus of a point in a plane under certain conditions
  • Different form of equations of a circle
  • Solve problems based on applications of circle