#### nda notes

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• Commands #### 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