NDA Syllabus 2024 – Subjectwise

Algebra

The topics covered include Cube roots, Real no.s, Modulus, Conversion of a no. in Binary system into Decimals, and the vice-versa. Arithmetic, Geometric, as well as Harmonic progressions. Quadratic equations and Linear inequations, Permutations, and Combination, and Logarithms. Sets, Venn diagram, the De Morgan laws, relation, equivalence relation. Complex numbers are also discussed in the context of these mathematical concepts.

Calculus

The concept of a real-valued function, domain, and graph of a function. Composite functions, and inverse functions. Derivatives of sum, and quotient of functions, a derivative of a function concerning another function, the derivatives of composite function. Second-order derivatives also. The notion of limit, Standard limits, algebraic operations on continuous functions. Derivative of function at point, geometrical as well as physical interpretation of a derivative-application.

Matrices and Determinants

Basic properties of determinants, types of matrices, operations on matrices. Adjoint as well as inverse of a square matrix. Applications include solution of system of linear equations in 2 or 3 unknowns using Cramer’s rule as well as the Matrix Method.

Integral Calculus and Differential Equations

Integration as the inverse of differentiation, standard integrals including algebraic expressions, trigonometric, and hyperbolic functions. Application – problems of growth and decay. Definition of order and degree of a differential equation. General and particular solutions for differential equations, including solutions of first-order as well as first-degree differential equation.. Evaluation of definite integrals as well as determination of areas of plane regions bounded by curves are also covered in this context.

Trigonometry

Angles and their measures in degrees as well as radians. Trigonometric ratios, sum and difference formulae, multiple as well as sub-multiple angles, and also inverse trigonometric functions. Applications include problems related to height and distance, as well as properties of triangles.

Vector Algebra

Vector product or scalar product or dot product of two vectors, scalar multiplication of vector, addition of vectors and unit and null vectors, magnitude. Vectors in two and three dimensions. Applications encompass work done by a force, and problem-solving in geometry.

Analytical Geometry Of Two and Three Dimensions

Rectangular Cartesian Coordinate system, The angle between two lines, , Standard forms of parabola, Eccentricity and axis of a conic, distance between 2 points, Equation of a plane and a line in various forms, Equation of a sphere and Angle between 2 lines.

Statistics and Probability

Probability: Random experiment, impossible and certain events. Complementary, and composite events. Union and Intersection of events. Definition of probability—classical and statistical with the examples. Elementary theorems on probability with simple problems. Bayes’ theorem with simple problems. Random variable as a function. Binomial distribution, examples of random experiments arising to Binomial distribution.

Calculus

20-25

Quadratic Equation

20-15

Matrices & Determinants

30

Probability

10

Trigonometry

30

Complex Number

10-15

Spotting Errors

5

20

Comprehension

6

24

Selecting Words

10

40

Ordering of Words in a Sentence

9

36

Sentence Improvement

10

40

Antonyms

5

20

Synonyms

5

20

Total

50

200

Physics

23

92

Chemistry

16

64

General Science

11

44

History & Freedom Movement

16

64

Geography

17

68

Current Affairs

17

68

Total

100

400

Motion of objects

Velocity and Acceleration

Newton’s Laws of Motion

Force and Momentum

Gravitation

Pressure Barometer

Properties of a Magnet

Earth as a Magnet

Conductors and Non-conductors

Parallelogram of Forces

Stability and Equilibrium of bodies

Simple Electrical Circuits

Heating, Lighting, and Magnetic effects of Current

Power and Energy

Measurement of Electrical Power

Static and Current Electricity

Ohm’s Law

Effects of Heat

Measurement of Temperature and Heat

Natural and Artificial Magnets

Simple Electrical Circuits

Primary and Secondary Cells

Use of X-Rays

General Principles

Simple Pendulum

Simple Pulleys

Siphon

Levers

Balloon

Pumps

Hydrometer

Pressure Cooker

Thermos Flask

Gramophone

Telegraphs

Telephone

Periscope

Telescope

Microscope

Mariner’s Compass

Lightning Conductors

Safety Fuses

Elements

Physical and Chemical Changes

Carbon—different forms

Acids, bases and salts

Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon Dioxide

Oxidation and Reduction

Mixtures and Compounds

Symbols, Formulae, and simple Chemical Equation

Atomic Equivalent and Molecular Weights

Law of Chemical Combination (excluding problems)

Valency

Properties of Air and Water

Fertilisers—Natural and Artificial

Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder

Topic

Common Epidemics

Causes and prevention

Basis of Life

Cells, Protoplasms, as well as Tissues

Constituents of food

Growth, Reproduction in Plants and Animals

Balanced Diet

Elementary knowledge about Human Body and all important organs

Solar System

Meteors and Comets

Eclipses

Achievements of Eminent Scientists

Difference between the living and non-living

Food—Source of Energy for man

Elementary knowledge of 5 Year Plans in India

UN, Panchsheel, Panchayati Raj, Democracy, Communism, Socialism

Role of India in present world

Co-operatives and Community Development

Concept of Bhoodan, Sarvodaya

National Integration as well as Welfare State

Basic Teachings of Mahatma Gandhi

Forces that are shaping the modern world

Renaissance movement

The Freedom Movement in India

A broad survey of Indian History, with emphasis on Culture and Civilisation

Exploration and Discovery

French Revolution, Industrial Revolution, as well as Russian Revolution

American Independence war

Impact of Science and Technology on Society

Elementary study of Indian Constitution, Administration

United Nations (UN)

Elementary knowledge of 5 Year Plans of India

Concept of one World

Panchsheel concept

Panchayati Raj, Socialism and Communism, Democracy

Role of India in current world

Co-operatives as well as Community Development

Concept of Bhoodan, Sarvodaya

Welfare State  and National Integration

Basic Teachings of Gandhi ji

The Earth, its shape and size

Ocean Currents and Tides, Atmosphere and its composition

Major Natural Regions of the World

Weathering, be it Mechanical and Chemical, Earthquakes and Volcanoes

Types of Climates

Regional Geography of the country

Climate, Natural vegetation as well as Mineral and Power resources

Origin of Earth, the Rocks and their classification

Important Sea ports and main sea, land, and air routes of India

Main items of Imports and Exports of India

Topic

Knowledge of the Important events which have happened in India recently

Prominent personalities at both the Indian and International levels

Cultural activities as well as sports activities

Current and important world events happening