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Hello Aspirant,
See if you want to have the syllabus for NDA 2021 exam then why to spend money when you are getting it for free. I am describing down the complete syllabus for NDA 2021 :-
@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
Trigonometry
- Angles and their measures in degrees and in radians
- Trigonometrical ratios
- Trigonometric identities sum and difference formula
- Multiple and sub-multiple angles
- Inverse trigonometric functions
- Applications-height and distance, properties of triangles
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
- Equation of a plane and a line in various forms
- Angle between two lines and angle between two planes
- Equation of a sphere
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, 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
Vector algebra
- 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
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
- Statistics: 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
- Probability: Definition of probability-classical and statistical-examples. Elementary theorems on probability-simple problems. Conditional probability, Bayes' theorem-simple problems. Random variable as function on a sample space. Binomial distribution
- Probability: Examples of random experiments giving rise to binominal distribution
@English
- Grammar and usage
- Vocabulary
- Comprehension and cohesion
For complete syllabus please visit the link given below :-
https://competition.careers360.com/articles/nda-syllabus
I hope this information helps you.
Good Luck!!
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