How To Prepare Maths For NDA 2023, Know The Important Tips For Maths!

NDA Exam: Important Highlights

National Defence Academy (NDA) is a national-level exam conducted by the Union Public Service Commission (UPSC) twice a year. This is a highly reputed and competitive exam. Candidates need to ensure that they have prepared thoroughly to clear this exam. Lets find out how to prepare for NDA.

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Exam Name	NDA/NA 2023
Conducting Body	Union Public Service Commission
Official Website	upsc.gov.in
Exam Type	National Level
Eligibility Criteria	Unmarried Male & Female candidates can apply
Mode of Application	Online
Exam Mode	Offline
Duration	Mathematics: 2 hours 30 minutes General Ability Test: 2 hours 30 minutes

How To Prepare Maths For NDA

Step 1: Get to know the Syllabus

UPSC NDA Syllabus for 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 formulae. 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. 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
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. 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, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution.

Weightage Of Various Section In Maths

Topic	Questions
Calculus	20-25
Quadratic equation	20-15
Matrices & Determinants	30
Probability	10
Trigonometry	30
Complex number	10-15

Step 2: Go Through Previous Year Papers

1. Understand the pattern of examination.
2. Know the standard of examination.
3. Know UPSC's method of framing questions.
4. Understand the important and recurring themes and questions.
5. Often the questions are repeated in the examination, which might give the edge to candidates.

Step 4: Best books for Mathematics

It is important that candidates must choose a good book for the Mathematics section of NDA. Candidates must make the most of the resources mentioned below. They should understand the concept and then practice a sufficient number of questions. The candidate's aptitude in mathematics is mainly tested in this phase. The following is a list of best books that students might use to prepare for the NDA exam's Mathematics section:

Name of Book	Author & Publication	Remarks
National Defence Academy and Naval Academy	R S Aggarwal	This book will help you in your Mathematics Preparation to get a high score on a maths paper
NCERT Class 11 and 12 books	-	For building basics and command over concepts
Quantitative Aptitude for Competitive exam	RS Aggarwal	For quant section
NDA and NA examination: Previous solved papers	R Gupta	To solve previous year's questions

 

If you have the time, you can also take the Pathfinder NDA Examination to improve your overall NDA exam preparation. This book contains all components of the NDA examination in a chapter-by-chapter manner. NDA There are also previous year papers to practice with.

Step 5: Revision

Step 6: Solve Previous Year Papers Along with Test Series By Safalta.

Step 7: Be Consistent and stay focused:

There may be times when you might feel bored or think that you cannot make it. Do not panic in such situations. It is the time when most candidates go out of the race. 
Be consistent in your studies and believe in yourself. Avoid negative people and always stay motivated.

You can check out the most reliable - UPSC NDA/NA (II) 2022 Study Material: Download Free Study Material For NDA/NA Exam Here!