Applied Mathematics Class 11 Syllabus 2025

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.

Applied Mathematics Class 11 Syllabus 2025

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

Averages

  • Definition and meaning
  • Problems on average, weighted average

Clock

  • 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

Calendar

  • 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

Mensuration

  • 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

Sets

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

Relations

  • 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