NDA Syllabus 2019

NDA Syllabus 2019 - Union Public Service Commission (UPSC) has prescribed NDA 2019 syllabus along with NDA II notification 2019. Candidates who wish to appear for NDA exam can check the syllabus for both the papers - Paper I Mathematics and Paper II (General Ability Test (GAT). The syllabus of NDA II 2019 is prescribed separately for both the papers where candidates can check topics and sub-topics. By referring to NDA syllabus 2019, candidates can plan well for the exam by knowing the topics from where the question will be asked. NDA II syllabus 2019 for Mathematics will be designed based on class 12 standards. However, the syllabus of GAT will consist of subjects such as Physics, Chemistry, General Science, Social Studies, Geography, Current Events and English language.

NDA syllabus 2019 will be designed to assess candidates’ basic knowledge about Maths, current affairs, proficiency of English language etc. NDA II 2019 exam is scheduled to be held on November 17, 2019. Check below the detailed NDA II syllabus 2019.

NDA Syllabus 2019 for Mathematics

The syllabus of NDA II for Paper I is given topic-wise. Candidates preparing for NDA II can check the detailed syllabus below.

Algebra

1. Representation of real numbers on a line.

2. Complex numbers—basic properties, modulus, argument, cube roots of unity.

3. Binary system of numbers.

4. Conversion of a number in decimal system to binary system and vice-versa.

5. Arithmetic, Geometric and Harmonic progressions.

6. Quadratic equations with real coefficients.

7. A solution of linear inequalities in two variables by graphs.

8. Permutation and Combination.

9. Binomial theorem and its applications.

10. Logarithms and their applications.

11. Concept of set

12. Operations on sets

13. Venn diagrams.

14. De Morgan laws, Cartesian product, relation, equivalence relation.

Statistics and Probability

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

2. 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, Bayes’ theorem—simple problems, Random variable as a function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.

Trigonometry

1. Angles and their measures in degrees and in radians.

2. Trigonometric ratios.

3. Trigonometric identities Sum and difference formulae.

4. Multiple and Sub-multiple angles. Inverse trigonometric functions.

5. Applications-Height and distance, properties of triangles.

Analytical Geometry of two and three dimensions

1. Rectangular Cartesian Coordinate system. Distance formula.

2. Distance formula.

3. The equation of a line in various forms.

4. The angle between two lines.

5. The distance of a point from a line.

6. The equation of a circle in standard and in general form. Standard forms of

7. Standard forms of a parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in

8. Eccentricity and axis of a conic. Point in a three-dimensional space, the distance between two points.

9. Direction Cosines and direction ratios.

10. Equation two points. Direction Cosines and direction ratios.

11. Direction Cosines and direction ratios.

12. Equation two points. Direction Cosines and direction ratios. The equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere.

13. Direction Cosines and direction ratios. The equation of a plane and a line in various forms. The angle between two lines and angle between two planes. The equation of a sphere.

14. The equation of a plane and a line in various forms. The angle between two lines and angle between two planes. The equation of a sphere.

15. The angle between two lines and angle between two planes. The equation of a sphere.

Vector Algebra

1. Vectors in two and three dimensions, magnitude and direction of a vector.

2. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product or dot product of two vectors.

3. Vector product or cross product of two vectors. Applications—work was done by a force and moment of a force and in geometrical problems.

Differential Calculus

1. The concept of a real-valued function–domain, range and graph of a function.

2. Composite functions, one to one, onto and inverse functions.

3. The notion of limit, Standard limits—examples.

4. Continuity of functions—examples, algebraic operations on continuous functions.

5. Derivative of the function at a point, geometrical and physical interpretation of a derivative—applications.

6. Derivatives of sum, product, and quotient of functions, the derivative of a function with respect to another function, derivative of a composite function.

7. Second-order derivatives.

8. Increasing and decreasing functions.

9. Application of derivatives in problems of maxima and minima.

Integral Calculus and Differential Equations

1. Integration as the inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions.

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

3. Definition of order and degree of a differential equation, formation of a differential equation by examples.

4. General and particular solution of differential equations, the solution of first order and first-degree differential equations of various types—examples.

5. Application in problems of growth and decay.

Matrices and Determinant

1. Types of matrices, operations on matrices.

2. Determinant of a matrix, basic properties of determinants.

3. 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.

NDA 2019 Syllabus for GAT

Paper II ( General Ability Test) of NDA II 2019 syllabus consists of two parts - Part A: English and Part B: General Knowledge.

NDA syllabus for Part A (English) is designed to test candidates’ proficiency in English which includes grammar and its usage, vocabulary, comprehension and cohesion, etc. Part B is further bifurcated into different sub-section which includes Physics, Chemistry, General Science, Social Studies, Geography and Current Events. Through NDA syllabus 2019 for part B, UPSC evaluates candidates’ knowledge, understanding and expertise in each of the subjects. Check below for the complete NDA II syllabus 2019 of Paper 2: General Ability Test.

NDA Exam Pattern 2019

To prepare for any exam, candidates must know the exam pattern of NDA. As per NDA exam pattern 2019, the written exam will be held for 900 marks. Of the total marks, the Mathematics paper will comprise 300 marks while GAT paper will be conducted for 900 marks. Candidates will be given 2 hours 30 minutes to answer each. After the completion of the written test, candidates qualifying the written exam will be called for SSB Interview. The Interview stage will comprise a total of 900 marks. Candidates can check NDA exam pattern 2019 for written below

NDA Written Exam Pattern 2019

How to prepare for NDA 2019

To prepare for NDA, candidates must be well informed about NDA exam pattern 2019 and syllabus. With the help of exam pattern & syllabus, candidates can properly plan their own preparation strategy. While planning they must also keep other important aspects in their mind. Candidates must ensure that they make a proper plan before starting their preparation for NDA exam. Below are few important preparation tips for NDA II written exam 2019.

1. Solve previous years question papers

2. Refer to the best books to prepare for NDA

3. Take online mock test

4. Revise the topics studied regularly

5. Practise shortcut methods for solving maths