Applied Mathematics Class 11 Syllabus 2024

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

Exam Structure

# Unit Marks
I Numbers, Quantification and Numerical Applications 9
II Algebra 15
III Mathematical Reasoning 6
IV Calculus 10
V Probability 8
VI Descriptive Statistics 12
VII Basics of Financial Mathematics 15
VIII Coordinate Geometry 5
  Total 80

Unit I: Numbers, Quantification and Numerical Applications

Numbers & Quantification

Binary Numbers

  • Definition of number system (decimal and binary)
  • Conversion from decimal to binary system and vice - versa

Indices, Logarithm and Antilogarithm

  • Applications of rules of indices
  • Introduction of logarithm and antilogarithm
  • Common and Natural logarithm

Laws and properties of logarithms

  • Fundamental laws of logarithm

Simple applications of logarithm and antilogarithm

  • Express the problem in the form of an equation and apply logarithm/ antilogarithm

Numerical Applications


  • Definition and meaning
  • Problems on average, weighted average


  • Number of rotations of minute hand / hour hand of a clock in a day
  • Number of times minute hand and hour hand coincides in a day


  • Definition of odd days
  • Odd days in a year/ century
  • Day corresponding to a given date

Time, Work and Distance

  • Basic concept of time and work
  • Problems on time taken / distance covered / work done


  • Comparison between 2D and 3D shapes
  • Combination of solids
  • Transforming one solid shape to another

Seating arrangement

  • Linear and circular seating arrangement
  • Position of a person in a seating arrangement

Unit II: Algebra


  • Introduction to sets - definition
  • Representation of sets
  • Types of sets and their notations
  • Subsets
  • Intervals
  • Venn diagrams
  • Operations on sets


  • Ordered pairs
  • Cartesian product of two sets
  • Relations

Sequences and Series

  • Sequence and Series
  • Arithmetic Progression
  • Geometric Progression
  • Applications of AP and GP

Permutations and Combinations

  • Factorial
  • Fundamental Principle of Counting
  • Permutations
  • Combinations


Unit III: Mathematical and Logical Reasoning

Logical reasoning

  • Odd man out
  • Syllogism
  • Blood relations
  • Coding Decoding

Unit IV: Calculus

  • Functions
  • Domain and Range of a function
  • Types of functions
  • Graphical representation of functions
  • Concepts of limits and continuity of a function
  • Instantaneous rate of change
  • Differentiation as a process of finding derivative
  • Derivatives of algebraic functions using Chain Rule

Unit V: Probability

  • Introduction
  • Random experiment and sample space
  • Event
  • Conditional Probability 
  • Total Probability
  • Bayes’ Theorem

Unit VI: Descriptive Statistics

  • Data Interpretation
  • Measure of Dispersion
  • Skewness and Kurtosis
  • Percentile rank and Quartile rank
  • Correlation

Unit VII: Financial Mathematics

  • Interest and Interest Rates
  • Accumulation with simple and compound interest
  • Simple and compound interest rates with equivalency
  • Effective rate of interest
  • Present value, net present value and future value
  • Annuities, Calculating value of Regular Annuity
  • Simple applications of regular annuities (upto 3 period)
  • Tax, calculation of tax, simple applications of tax calculation in Goods and service tax, Income Tax
  • Bills, tariff rates, fixed charge, surcharge, service charge
  • Calculation and interpretation of electricity bill, water supply bill and other supply bills

Unit VIII: Coordinate Geometry

  • Straight Line
  • Circles
  • Parabola