# 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

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