Syllabus of NDA & NA (II) Exam
UPSC (Union Public Service Commission) conducts Exam for National Defence Academy (NDA) & Naval Academy (NA).
The Syllabus are....
A. Syllabus of NDA & NA (II) Exam -
| Subject | Marks | |
|---|---|---|
| PAPER I | Mathematics | 300 |
| PAPER II | General Ability Test Section A - English Section B - General Knowledge |
600 200 400 |
A. PAPER I - Mathematics Syllabus
1. Algebra - Sets Concepts, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation, Real numbers, odd numbers, formulas, cube roots, binary to decimal conversion and vice versa. Arithmetic, geometry and harmonic series. Quadratic equations, linear inequalities, permutations and combinations, binomial theorem and logarithms.
2. Calculus - Concepts of real values, functions, fields and graphs. Compound functions, one-to-one powers, straight and inverse functions. Limit concept, standard limit, continuous function, algebraic function of continuous function. Derivatives of functions at one point, geometric and physical interpretation of derivative information. Derivatives of sums, products, quotients of functions, derivative of one function with others, derivative of composite functions.
3. Matrices and Determinants - Matrix type, matrix function. The determinant of the matrix is the main property of the determinant. Inverse of Conjugate and Square Matrices, Applications - Solve systems of linear equations with two or three unknowns using Kramer's law and matrix method.
4. Integral Calculus and Differential Equations - Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential, and hyperbolic functions. Calculation of exact points - from the curve determine the area of the area where there is hope - is used. Definition of orders and degrees of different equations, creating different equations by giving examples. General & particular solution of differential equations, solution of the first order, and first-degree differential equations of various types & its types.
5. Trigonometry - Angles (their measures in degrees and radians), Trigonometric ratios, Trigonometric identities Sum and difference formulae, Multiple and Sub-multiple angles, Inverse trigonometric functions, Applications-Height and distance, properties of triangles.
6. Vector Algebra - Vector Algebra - 2D and 3D vectors, magnitude and direction of vectors. Unit and empty vectors, addition of vectors, scalar product of vectors, scalar product of two vectors or dot product. Vector product/cross product, Applications - study of force and time and geometric problems.
7. Analytical Geometry Of Two and Three Dimension - Cartesian Coordinate system (Rectangular), Distance formula, Equation of a line in various forms, The angle between two lines, Distance of a point from a line, Standard forms of parabola, ellipse, and hyperbola, Eccentricity and axis of a conic, Direction Cosines and direction ratios, Equation of a sphere.
Statistics and Probability - Probability: Random Experiments, Results and Related Sample Spaces, Events, Special and Extensive Events, Impossible and Certain Events, Combinations and Intersections of Events. Complementary, fundamental and compound events, definition of probability (classical and statistical), examples, fundamental theorems of probability (simple problems). Probability Theory, Bayes' Theorem - Simple problems, Random Variables as a Function of Sample Space, Binomial Distribution, Examples of Random Experiments generating Binomial Distributions.
B. PAPER-II - General Ability Test Syllabus
a. Section A - English Syllabus
Synonyms, Antonyms, Ordering of Words in a Sentence, Sentence Improvement, Spotting Errors, Comprehension, Selecting Words
b. Section B - General Knowledge Syllabus
The question paper of General Knowledge is based on Physics, Chemistry, Science, History, Geography and Current Events Subject.
I. Physics Syllabus
Energy and heat of the body, weight and states of music, simplification, Archimedes' law, individual glasses and lenses, barometers, human eye, motion of objects, natural and artificial magnetism, velocity and acceleration, force of magnetism, Newton's law of motion, making the earth a magnet force and energy, static and electric current, Electricity, parallelograms of forces, conductors and non-conductors, Stability and balance, Ohm's law, gravity, simple circuits, simple business concept, heat of electric current, energy and energy, light and magnetic effects, electricity measurement, thermal effects, primary and secondary batteries, temperature and heat, X-rays used, General Principles in the working of 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.
II. Chemistry Syllabus
Oxidation and reduction of hydrogen, oxygen, nitrogen and carbon dioxide, acids, bases and salts, carbon - different forms, physical and chemical changes, fertilizers - natural and man-made, chemical products such as soap, glass, ink, paper, colored cement Safe materials and gunpowder for competition, compounds and compounds, the main elements of atomic structure, symbols and simple equations, Atomic Equivalent and Molecular Weights, Law of Chemical Combination, Valency Properties of Air and Water
III. General Science Syllabus
Diseases, etiology and prevention, difference between animate and inanimate, nutrient - energy source of human life - cell protoplasm and tissues, nutrients, growth and development of animals and plants, nutritional information, human body and main body, solar system - Meteors and comets , solar eclipses, achievements of famous scientists.
IV. History Syllabus
Forces shaping the modern world, Renaissance Exploration and Discovery, A broad survey of Indian History with emphasis on Culture and Civilisation, Freedom Movement in India, French Revolution, Industrial Revolution, Russian Revolution, American War of Independence, The Impact of Science and Technology on Life, Fundamental Studies of Indian Law and Governance, The Concept of One World, Fundamentals of India's Five-Year Plan United Nations Panchsheel, Panchayati Raj Democratic Socialism and the Role of Communists. India, Cooperation and Community Development in Today's World Bhoodan Sarvodaya, Important Teachings of Mahatma Gandhi for National Cooperation and Welfare State.
V. Geography Syllabus
Earth and its shape and size, ocean currents and tides, weather and its composition, latitude and longitude, temperature and pressure, planetary winds, cyclones and anticyclones; moisture; condensation and precipitation, concept of time, weather types, international sun line, earth natural conditions, ground movements and effects, regional geography of India, understanding of climate, natural plants, mining and electricity services, agricultural lands and distribution and commercial activities, history of the world. Rocks and their distribution, India's major ports and major seas, land and air navigation, weather and chemicals, earthquakes and electricity, major import and export activities in India
VI. Current Events Syllabus
Knowledge about major events, culture and sports, current world events in India over the past year.
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