nda notes

Asked by gauravthehero101,

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    Diwankar Gupta

    146 weeks ago

    these are the topics of maths in nda you can download the notes of these subtopics easily on the net

    Diwankar Gupta

    146 weeks ago

    NDA Algebra syllabus topics*.Arithmetic*.Concept of a set*.operations on sets*.modulus argument*.equivalence relation*.Cartesian product relation*.modulus argument*.Cube roots of unity*.Binary system of numbers*.Permutation and Combination*.Venn diagrams. De Morgan laws*.Complex numbers – basic properties*.Binomial theorem and its application*.Logarithms and their applications.*.Geometric and Harmonic Progressions*.Quadratic equations with real coefficients*.Representation of real numbers on a line*.Solution of linear in equations of two variables by graphs*.Conversion of a number in decimal system to binary system and vice-versa.NDA Trigonometry Syllabus topics*.Properties of triangles.*.Trigonometrical ratios*.Trigonometric identities Sum and difference formula*.Multiple and Sub-multiple angles*.Inverse trigonometric functions*.Applications – Height and distance*.Angles and their measures in degrees and in radiansNDA Matrices and Determinants Syllabus topics*.Types of matrices*.Determinant of a matrix*.Adjoint and inverse of a square matrix*.Operations on matrices*.Basic properties of determinants*.Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.NDA Differential Calculus Syllabus topics*.Composite functions*.Derivatives of sum*.Concept of a real-valued function – domain*.range and graph of a function*.Second order derivatives*.Derivative of function at a point*.Product and quotient of functions*.Derivative of a composite function*.Increasing and decreasing functions*.Derivative of a function with respect to another function*.Application of derivatives in problems of maxima and minima.Analytical Geometry of two and three dimensions topics*.Distance formula*.Ellipse and hyperbola*.Angle between two lines*.Distance of a point from a line*.Standard forms of parabola*.Equation of a line in various forms*.Eccentricity and axis of a conic*.Rectangular Cartesian Coordinate system*.Equation of a circle in standard and in general formIntegral Calculus and Differential Equations topics*.Trigonometric*.Integration as inverse of differentiation*.Integration by substitution and by parts*.Exponential and hyperbolic functions*.Standard integrals involving algebraic expressions*.General and particular solution of a differential equationNDA Vector Algebra Syllabus topics*.Vectors in two and three dimensions*.Scalar multiplication of vector*.Magnitude and direction of a vector*.Unit and null vectors addition of vectorsNDA Statistics and Probability Syllabus topics*.Pie Chart*.Frequency distribution*.Statistics: Classification of data*.Frequency Polygon – examples*.Graphical representation – Histogram*.Correlation and regression*.Measures of Central Tendency – Mean Median and Mode*.Cumulative frequency distribution – examples*.Variance and standard deviation – determination and comparison*.Events*.Complimentary*.Random experiment*.Binomial distribution*.Conditional probability*.Outcomes and associated sample space*.Impossible and certain events*.Union and Intersection of events*.elementary and composite events*.Bayes’ theorem – simple problems*.Random variable as function on a sample space*.Mutually exclusive and exhaustive events*.Examples of random experiments giving rise to Binominal distribution