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Here we have provided you with the latest NDA (National Defence Academy) Syllabus for the 2022 year. This is the Scheme and Syllabus of the NDA Examination 2022. The NDA 2 exam for this year is scheduled to take place in September 2022. The last date of submitting an application form is 7th June.

UPSC has released the latest NDA Syllabus for candidates. In the below table you will know about the NDA Syllabus 2022 PDF file.

## NDA Syllabus 2022 PDF Summary

Dear friends, as you all know that the notification of NDA 2 has been issued by UPSC. Here we are providing you with the latest NDA Syllabus 2022 PDF file for download. Here we have provided the NDA Syllabus subject-wise.

You can easily read and download it. There are only two topics in NDA Syllabus first is General Ability and the second is Mathematics. In the below table, we provide complete details of the particular subject’s syllabus.

## NDA Syllabus for Mathematics Subject PDF Details

The time allowed for mathematics subject is 2.30 hours. The maximum mark is 300 for the code 01 subject. You will get further details about the mathematics subject below.

1. ALGEBRA:

Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. 20 Representation of real numbers on a line. Complex numbers—basic properties, modulus, argument, cube roots of unity. Binary system of numbers. Conversion of a number in decimal system to binary system and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. Solution of linear inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications.

2. MATRICES AND DETERMINANTS:

Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, Applications-Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.

3. TRIGONOMETRY:

Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.

4. ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS:

Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and in a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional space, the distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. The angle between two lines and the angle between two planes. Equation of a sphere.

5. DIFFERENTIAL CALCULUS:

Concept of a real-valued function–domain, range, and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits—examples. Continuity of functions—examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical
and physical interpretation of a derivative—applications. Derivatives of sum, product, and quotient of functions, a derivative of a function with respect to another function, and the derivative of a
composite function. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.

6. 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.
Evaluation of definite integrals—determination of areas of plane regions bounded by curves—applications.

7. VECTOR ALGEBRA:

Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems.

8. STATISTICS AND PROBABILITY:

Statistics: Classification of data, Frequency distribution cumulative frequency distribution—examples. Graphical representation—Histogram, Pie Chart, frequency polygon—examples. Measures of Central tendency—Mean, median, and mode. Variance and standard deviation—determination and
comparison. Correlation and regression.

## NDA Syllabus 2022 for General Ability Test Subject

The General Ability test is divided into two parts. In the part, First English is the main subject with a maximum of 200 marks. The second part is called Part ‘B’ with multi subjects like physics, chemistry, general science, etc. The maximum mark for Part ‘B’ is 400 marks.

• Part ‘A’—ENGLISH (Maximum Marks 200)
• Part ‘B’ – General Knowledge (Maximum Marks 400)
• Section ‘A’ (Physics)
• Section ‘B’ (Chemistry)
• Section ‘C’ (General Science)
• Section ‘D’ (History, Freedom Movement, etc.)
• Section ‘E’ (Geography)
• Section ‘F’ (Current Events)