UPSC NDA Syllabus 2022 | Detailed Section-Wise UPSC NDA Syllabus

UPSC is recruiting for National Defense Academy and Naval Academy and a total of 400 vacancies have been released through UPSC NDA Recruitment 2022 drive. You should start your preparation from now to get this opportunity to serve the country. The detailed UPSC NDA Syllabus 2022 is given here to help you shape your preparation. Read the article further for UPSC NDA Syllabus 2022.

UPSC NDA Written Exam Syllabus 2022

UPSC NDA Selection Process will be in 2 stages – Written Exam and SSB Interview. The written test will be of 900 marks, with Maths weighting of 300 marks and General Aptitude of 600 marks. Read on for the detailed syllabus of both Maths and General Aptitude. Read Indian Navy MR Syllabus & Exam Pattern and UPSC Prelims Syllabus & Exam Pattern here!

UPSC NDA Mathematics Syllabus 2022

The Mathematics syllabus for NDA is divided into major subjects like Algebra, Matrix, Trigonometry, Analytical Geometry, Differential, Integral Calculus, Statistics and Probability. Given below is the detailed UPSC NDA Syllabus PDF 2022 -

Algebra
Concept of Sets, Operations on Sets	Venn diagram	De Morgan's Law, Cartesian Multiplication, Relations	Equality Relation
Displaying Real Numbers on the Number Line	Complex Number- Basic properties, Modulus etc.	Binary System of Numbers	Converting a number from the decimal system to the binary system and vice versa.
Parallel Series	Geometric Series	Harmonic Series	Quadratic Equation with Real Coefficients
Graphically solve linear equations in two Variables.	Permutation	Binomial Theorem and Applications	Logarithms and their Applications.
Matrix and Deterministic
Types of Matrix, Operations on Matrix	Saranik's Properties	Adjoint and Inverse of a Square Matrix	Solving Two or Three Linear Equations by Cramer's Law and the Matrix Method
Trigonometric
Angle - in degrees and radians	Trigonometric Ratios	Trigonometric Identities Sum	Multiple and Sub-Multiple Angles
Difference Formula	Application-Height & Distance	Properties of Triangle	Inverse Trigonometric Functions
Analytical Geometry of Two and Three Dimensions
Cartesian coordinates	Distance Formula	Equation of Line in Different Forms	The angle between two lines. Distance of a point from a line
General Form of Equation of a Circle	General Forms of Parabola, Ellipse, and Hyperbola	Eccentricity and Axis of Angular Surface	Point in three-dimensional space, the distance between two points.
Direction Cosine and Direction Ratio	Equation from two points, direction cosine and direction ratio.	Equation of a Line and a Plane in Different Forms	The angle between two lines and the angle between two planes. The equation of the sphere.
Differential Calculus
Concept of real function-domain, Range, Graph of a function.	Composite Function	Notion of limits, Standard limits - Examples.	Continuity of Functions- Example, Algebraic Operations on Continuous Functions
Derivative of Functions	Geometrical and physical representations of derivatives-applications.	The sum, difference, multiplication and quotient of a derivative.	Differentiation of one function with respect to another function
Derivatives of Combined Functions	Second order derivative	Increasing and Decreasing function	Application of derivatives to problems of highest and Lowest
Integration Mathematics and Differential Equations
Integration as an inverse process of differentiation	Segmental integration	Standard Integrator with BGA Expression	Trigonometric, Exponential, Parabolic Functions
To find the value of definite integrals - To find the value of the area of the planes under the curve - Application.	Order and power of differential equation, e.g. construction of differential equation.	General and specific solutions of differential equations, methods of solving first order and first degree differential equations-Example	Applications in problems of growth and decay.
Vector Algebra
Vector in two and three dimensions, magnitude and direction of the vector	Unit vector and Zero vector	sum of vectors	Scalar product of two Vectors.
Vector product of two vectors	Product of a vector by a scalar	Application - Work done by force	Geometrical problems on force and Momentum.
Statistics
Classification of Data, Frequency Distribution, Cumulative Frequency Distribution-Examples	Graphical representations - Histograms, pie charts, Frequency polygons - examples	Measure of Central Tendency-Mean Median and Mode	Variance and Standard Deviation - Determination and Comparison. Correlation and Regression.
Probability
Randomized Trials, Outcomes and Sample Populations	Mutually exclusive and exhaustive events, Impossible events, definite events	combination of events and common	Complementary events, Composite events.
Definition of Probability - Archaic and Statistical - Example	Theorem on Probability - Simple Problems, Restricted probability	Baye's Theorem—Simple Problems. Random variable as a function of a sample space	Binomial Distribution Examples of random experiments for the binomial distribution.

UPSC NDA General Aptitude Syllabus 2022

Part A — ENGLISH (Maximum Marks—200)

The question paper in English will be designed to test the candidate's understanding of English and use of words. The syllabus covers various aspects such as grammar and usage, vocabulary, comprehension and coherence in extended text to test the candidate's proficiency in English.

Part 'B'-General Knowledge (Maximum Marks - 400)

Mainly the following topics will be covered on General Knowledge question paper:

• Physics
• Chemistry
• general Science
• Social Study
• Geography
• Current Events

The UPSC NDA Syllabus 2022 given below is designed to cover the topics covered in this paper. The topics mentioned should not be considered in detail as the paper may also ask questions on topics of similar nature other than those specifically mentioned in the syllabus. The candidate's answers are expected to show his/her knowledge and understanding about the subject.

Section A – Physics
Physical Properties and States of Matter	Mass, Weight, Volume Density and Specific Gravity	Archimedes' Principle, Pressure, Barometer.	Speed,  Velocity and Acceleration of objects	Newton's laws of motion, Force and Momentum
Parallelogram of Forces, Stability, and Equilibrium of Bodies	Gravity, Concept of Work, Power, and Energy	Effects of Heat, Measurement of Temperature and Temperature	Phase Changes and Latent Heat, Types of Heat Transitions	Sound Waves and Their Properties
Simple musical Iinstrument	Diffusion of light	Refraction & Reflection	Spherical Mirrors and Lenses, Human Eye	Natural And Artificial Magnets
Properties of a Magnet, Earth Like a Magnet	Static and Current electricity	Conductive	Non-conductors	Simple Electrical Circuit
Ohm's law	Heat, Light	Electromagnetic effect of electricity	Measurement of electrical power	Primary and Secondary Cells
Using X-rays, the following general principles of work: Simple pendulum, simple pulse, siphon, lever, balloon, pumps, hydrometer, pressure cooker, thermos flask, gramophone, telegraph, telephone, periscope, telescope, microscope, mariner compass; Lightning conductor, safety fuse.
Section B – Chemistry
Physical and Chemical Changes	Elements, Mixtures, and Compounds	Symbols, Formulas and Simple Chemical Equations	Law of Chemical Combination (Except Problems)	Properties of air and water
Formation and properties of hydrogen	Oxygen, Nitrogen and Carbon dioxide	Oxidation and Reduction, and Acids, Bases and Salts	Carbon - Various forms	Fertilizers- Natural and Artificial
Materials used in the preparation of substances such as soap, glass, ink, paper, cement, paints, safety matches and gun-powder. Elementary ideas about the structure of an atom, atomic equivalent and molecular weight, valency.
Section C – General Science
Difference between living and non-living	Basis of Life – Cells, Protoplasm, and Tissue	Reproduction and development of plants and animals	Elementary knowledge of the human body and its vital organs	Common Epidemics, Their Causes and Prevention
Food - source of energy for Man	Components of food, balanced diet.	Solar System – Meteors and Comets	Eclipse	Achievements of Eminent Scientists.
Section D – History, Freedom Movement, etc.
A Comprehensive Survey of Indian History with Emphasis on Culture and Civilization	Freedom Movement in India	Early Study of Indian Constitution and Administration	Elementary Knowledge of India's Five Year Plans	Panchayati Raj, Co-operative and Community Development
Bhoodan, Sarvodaya	State of National Integration and Welfare	Basic education given by Mahatma Gandhi	Forces shaping the Modern world; Renaissance, Exploration and Discovery	American War of Independence
French Revolution, Industrial Revolution and Russian Revolution	Impact of Science and Technology on Society	Concept of One World, United Nations, Panchsheel, Democracy	Socialism & Communism	Role of India in the present World
Section E – Geography
Earth, its size	Latitude & Longitude	Concept of Time, International Date Line	Earth's motion and their effect, Origin of Earth	Rocks and Their Classification; Origin-Weathering - Mechanical and Chemical
Earthquake and Volcano	Ocean currents and tides, Atmosphere and its composition	Temperature and Atmospheric Pressure	Wind, Cyclone, and Anti-cyclone	Condensation and Rain, Humidity
Types of Climate, Major Natural Areas of Regional Geography of the World	Regional Geography of India - Climate, Natural Vegetation	Mineral and Energy Resources; Location and distribution of agricultural and industrial activities	Important sea ports and main sea land and air routes of India	Main items of import and export in India
Section F - Current Events
Knowledge of important events that took place in India in recent years. Current important world events. Prominent personalities – both Indian and International – including those associated with cultural activities and sports.

Note : Out of the maximum marks assigned for Part 'B' of this paper, questions on Sections 'A', 'B', 'C', 'D', 'E' and 'F' approx 25%, 15%, 10%, 20%, 20% and 10% weightage respectively.

The SSB process consists of a two-stage selection process – Phase I and Phase II. Only those candidates who clear Phase I are allowed to appear for Phase II. The details are as follows:

(a) Stage I consists of Officer Intelligence Rating (OIR) tests, which are Picture Perception & Description Tests (PP&DT). Candidates will be shortlisted on the basis of performance in OIR Test and PP&DT.

(b) Stage II consists of interview, group test, officer assignment, psychology test and conference. These tests are conducted over 4 days.

• The personality of a candidate is assessed by three different evaluators (Interview Officer (IO), Group Testing Officer (GTO) and Psychologist).
• There are no separate weightage for each test. The masks are allotted by the evaluators keeping in mind the performance of the candidate in all the examinations.
• Apart from this, marks are also allotted for the conference based on the preliminary performance of the candidate in the three techniques and decision of the Board. All of them have equal weight.
• Various tests of IO, GTO and Psychologist are designed to bring out the presence/absence of possessing qualities and their potential in a candidate.
• Accordingly, candidates are not recommended or recommended in SSB.

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