• AglaSem
  • Schools
  • Admission
  • Career
  • CutOffs
  • News
  • Hindi
  • Mock Test
  • Docs
  • ATSE
aglasem
  • CBSE
    • Date Sheet
    • Question Papers
    • Sample Papers
  • ICSE / ISC
  • State Boards
    • Date Sheet
    • Result
  • NCERT
    • NCERT Books
    • NCERT Solutions
    • NCERT Exempler
    • Teaching Material
  • Mock Tests
  • Study Material
    • Notes
  • Olympiads
    • ATSE
    • KVPY
    • NTSE
    • NMMS
  • School Admission
  • Entrance Exams
    • JEE Main
    • NEET
    • CLAT
  • Students Guide
    • Careers Opportunities
    • Courses & Career
    • Courses after 12th
  • Others
    • HC Verma Solutions
    • Teaching Material
    • Classes Wise Resources
    • Videos
    • Resources
No Result
View All Result
aglasem
  • CBSE
    • Date Sheet
    • Question Papers
    • Sample Papers
  • ICSE / ISC
  • State Boards
    • Date Sheet
    • Result
  • NCERT
    • NCERT Books
    • NCERT Solutions
    • NCERT Exempler
    • Teaching Material
  • Mock Tests
  • Study Material
    • Notes
  • Olympiads
    • ATSE
    • KVPY
    • NTSE
    • NMMS
  • School Admission
  • Entrance Exams
    • JEE Main
    • NEET
    • CLAT
  • Students Guide
    • Careers Opportunities
    • Courses & Career
    • Courses after 12th
  • Others
    • HC Verma Solutions
    • Teaching Material
    • Classes Wise Resources
    • Videos
    • Resources
No Result
View All Result
aglasem
No Result
View All Result

NDA & NA Mathematics Syllabus

by Anand Meena
September 5, 2018
in Entrance Exams
Reading Time: 3min read
0
0
SHARES
0
VIEWS
Share on FacebookShare on Twitter

ALGEBRA: Concept of a 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 var iables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their application.

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 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 operation son continuous functions. Derivative of function at a point,geometrical and physical interpretation of a derivative – applications. Derivatives of sum, product and quotient of funct ions, der ivat ive 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.

Click Here for NDA/NA Complete Information

To get fastest exam alerts and government job alerts in India, join our Telegram channel.

Tags: NDA Exam SyllabusSyllabus for NDASyllabus for NDA NA

Anand Meena

Full time entrepreneur, likes to indulge in writing reviews about the latest technologies apart from helping students in career and exam related topics.

Related Posts

Gurukul Kurukshetra Admission Entrance Exam
Entrance Exams

Gurukul Kurukshetra Admission Entrance Exam 2021 – Application Form (Out), Exam date, Syllabus

Entrance Exams

TGUGCET 2021 Hall Ticket – Download Admit Card

Jawahar Navodaya Vidyalaya Admission 2021
Entrance Exams

Jawahar Navodaya Vidyalaya Admission 2021-22 Class 9th: Admit Card (Out), Exam on 24 Feb

TAPAS Entrance Exam Result 2019-2020
Entrance Exams

TAPAS Entrance Exam Result 2019 -2020 (Out!) : Selection List

Next Post

NDA & NA I Result 2014

Discussion about this post

Registration Open!!

Indian Talent Olympiad Click Here
Indian Talent Olympiad - Apply Now!!

Class Wise Study Material

  • Class 1
  • Class 2
  • Class 3
  • Class 4
  • Class 5
  • Class 6
  • Class 7
  • Class 8
  • Class 9
  • Class 10
  • Class 11
  • Class 12
  • Disclaimer
  • Terms of Use
  • Privacy Policy
  • Contact

© 2019 aglasem.com

No Result
View All Result
  • CBSE
  • ICSE / ISC
  • State Board
  • NCERT
  • Mock Test
  • Study Material
  • Olympiads
  • Schools Admission
  • Entrance Exams
  • Student Guide
  • HC Verma Solutions
  • Videos

© 2019 aglasem.com

Indian Talent Olympiad Click Here
Indian Talent Olympiad - Apply Now!!