UPSC NDA & NA II Syllabus 2021 – Download Exam Pattern Here!!!! UPSC NDA & NA II Syllabus & Exam Pattern PDF has been given in the UPSC Official Notification. Union Public Service Commission has released Notification for the NDA & NA II types of posts. Here we have given UPSC Syllabus & Exam Pattern details in our examsdaily.in website.
Union Public Service Commission (UPSC) has going to conducted National Defence Academy (NDA) and Naval Academy (NA) Examination (II). Only Eligible for unmarried male candidates are invited to apply for the post. Here we given UPSC NDA & NA II Notification 2021 details in our examsdaily.in website.
UPSC NDA & NA II Syllabus 2021:
|
Name of the Board |
Union Public Service Commission |
| Name of the Post |
NDA & NA II |
|
Vacancy |
Various |
| Status |
Syllabus Available |
UPSC NDA & NA 2 Selection Process:
UPSC NDA & NA (II) Selection will be based on
- Written Test
- Intelligence and Personality Test.
UPSC NDA & NA 2 Exam Pattern 2021:
| Subject | Code | Duration | Maximum Marks |
| Mathematics | 1 | 2.30 Hours | 300 |
| General Ability Test | 2 | 2.30 Hours | 600 |
| Total | 900 | ||
| SSB Test/ Interview | 900 | ||
UPSC NDA & NA II Syllabus 2021:
Code 01: Mathematics:
-
Algebra
Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. 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.
-
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.
-
Analytical Geometry of Two and Three Dimensions:
Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. Angle between two lines. Distance of a point from a line. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in a three dimensional space, 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. Angle between two lines and 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, derivative of a function with respect to another function, 20 derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of
maxima and minima.
-
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.
Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equations, solution of first order and first degree differential equations of various types—examples. Application in problems of growth and decay.
7. VECTORALGEBRA:
Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, 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.
Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability-classical and statistical-examples. Elementary theorems on probability-simple problems.
Conditional probability, Bays’ theorem-simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution.
Download UPSC NDA & NA Syllabus PDF
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The Name of the Post is NDA & NA II
There are various vacancies allotted for these recruitment
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