UPSC conducts NDA exam twice a year. Like other UPSC exams NDA exam syllabus too vast. NDA Maths Syllabus covers 11and 12 standard syllabus. Union Public Service Commission (UPSC) scheduled National Defence Academy & Naval Academy Exam (NDA 2020) in April & September month. Students required starting their NDA exam preparations in full swing now. In this article we are going to discuss the syllabus of the NDA MATHS 2020. But before we discuss syllabus we should know about NDA Exam and complete syllabus of NDA exam.
TRISHUL DEFENCE ACADEMY is the best place for NDA Aspirants for clearing NDA Exam 2020 as well as all other defence exams, any queries , latest news related to defence exams.
IMPORTANT NOTE :- NDA 2020 exam had been postponed due to CORONA VIRUS PANDEMIC till the next date
ABOUT NDA EXAM
National Defence Academy (NDA), is a national level entrance exam to tae admission in defence services such as the Indian Army, Indian Navy, and Indian Air Force. Candidates fulfill the Eligibly criteria can apply for NDA Exam 2020 .
STAGES OF NDA EXAM
Selection process of NDA Exam consists of following process:-
- Written test
- Intelligence test
- Physical test
SYLLABUS OF NDA EXAM
NDA syllabus consists of two subjects Maths and NDA General Ability Test (GAT). In this article we are focusing on Maths for NDA in which you find Mathematics syllabus for NDA exam,
MATHS SYLLABUS FOR NDA 2020
It is very important syllabus for UPSC exams. NDA Maths Test consists of 120 questions of 300 marks . Duration of the examination is about 2:30 hours.. The questions printed are bilingual (English & Hindi).
NDA Question paper mathematics is an objective type question paper you should mark one answer in four alternatives and for every wrong answer, one-third of the marks assigned to that question will be deducted as the penalty. Now check NDA 2020 mathematics syllabus details below.
NDA Maths Syllabus topics are Algebra, Trigonometry, Matrices, Differential, Analytical, Geometry, Integral Calculus, Statistics, and Probability.
| MATHEMATICS SUBJECTS |
| Algebra + Vector Algebra |
| Trigonometry |
| Determinants and matrices |
| Analytical Geometry |
| Vector Algebra |
| Statistics and Probability |
| Differential calculus and Integral calculus |
The detailed syllabus of Mathematics paper is follows:-
TRIGONOMETRY:
- Trigonometrical ratios,
- properties of triangles Angles and their measures in degrees and in radians
- Inverse trigonometric functions
- Trigonometric identities Sum and difference formulae,
- Applications – Height and distance
- Multiple and Sub-multiple angles.
ALGEBRA:
- Complex numbers – basic properties, modulus
- Conversion of a number in decimal system to binary system and vice-versa
- Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions,
- Solution of linear inequations of two variables by graphs,
- Representation of real numbers on a line, Binary system of numbers,
- Binomial theorem and its application,
- Quadratic equations with real coefficients
- Permutation and Combination
- Logarithms and their applications.
DIFFERENTIAL CALCULUS:
- Composite functions
- one to one, onto and inverse functions
- geometrical and physical interpretation of a derivative – applications
- increasing and decreasing functions
- Continuity of functions – examples, algebraic operations on continuous functions,
- Application of derivatives in problems of maxima and minima,
- Concept of a real valued function – domain, range and graph of a function,
- Notion of limit
- Standard limits – examples, geometrical and physical interpretation of a derivative – applications,
- Derivative of a function at a point,
- Derivatives of sum, product and quotient of functions,
- Derivative of a function with respect of another function,
- Derivative of a composite function and Second order derivatives.
VECTOR ALGEBRA:
- Vectors in two and three dimensions
- Scalar multiplication of vector, scalar product or dot product of two-vectors,
- Applications-work done by a force and moment of a force, and in geometrical problems,
- Magnitude and direction of a vector,
- Unit and null vectors, addition of vectors,
- Vector product and cross product of two vectors.
INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS:
- Integration by substitution and by parts, trigonometric,
- Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions,
- Solution of first order and first degree differential equations of various types – examples, standard integrals involving algebraic expressions,
- Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications,
- General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay.
MATRICES AND DETERMINANTS:
- Types of Matrices,
- Determinant of a matrix, adjoin and inverse of a square matrix,
- Operations on matrices,
- Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of determinant.
ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS:
- Distance formula,
- Equation of a circle in standard and in general form,
- Ellipse and hyperbola,
- Angle between two lines, Rectangular Cartesian Coordinate system,
- Equation of a line in various forms, Standard forms of parabola,
- Distance of a point from a line, Eccentricity and axis of a conic.
- Point in a three-dimensional space, distance between two points,
- Equation of a plane and a line in various forms,
- Equation of a sphere, Direction Cosines and direction ratios,
- Angle between two lines and angle between two planes.
STATISTICS:
- Frequency distribution,
- Classification of data,
- Cumulative frequency distribution – examples
- Graphical representation – Histogram,
- Measures of Central tendency – mean, median and mode,
- Pie Chart,
- Frequency Polygon – examples, Variance and standard
- Deviation – determination and comparison,
- Correlation and regression.
PROBABILITY:
- Outcomes and associated sample space,
- Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events,
- Bayes’ theorem – simple problems, impossible and certain events,
- Complementary, elementary and composite events,
- Union and Intersection of events,
- Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space,
- Elementary theorems on probability – simple problems,
- Binomial distribution, examples of random experiments giving rise to Binominal distribution.
SELECTIONS OF NDA
Keeping their success consistent, Trishul Defence Academy always proved itself by giving high number of selections in NDA exam . The selection of Trishul Defence Academy’ student’s in the NDA exam came to a ratio of 3:8 i.e. on every 8 student 3 student has successfully qualified for the next phase of the examination.
In case of any further query regarding NDA examination or any other defence examination feel free to get free counselling at your nearest branch of Trishul Defence Academy , the Best coaching for NDA preparation, mention below or contact us on the number given below:
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