Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations. Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.
Concept, notation, order, equality, types of matrices, zero and Lorem lpsum 322 boatplans/build-boat/fiberglass-boat-building-panels-zero see more matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication.
Noncommutativity of multiplication 2nd Standard Cbse Maths Syllabus Mp3 of matrices and existence of non-zero matrices whose product is the zero matrix restrict to square matrices of order 2.
Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; Here all matrices will have real entries. Determinant of a square matrix up to 3 x 3 matricesproperties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables having unique solution using inverse of a matrix.
Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential 2nd Standard Cbse Maths Syllabus Data and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Simple problems that illustrate basic principles and understanding of the subject as well as real-life situations.
2nd standard cbse maths syllabus you as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on 2nd standard cbse maths syllabus you. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus without proof.
Basic properties of definite integrals and evaluation of definite integrals. Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:. Vectors and scalars, magnitude and direction of a vector.
Direction cosines and direction ratios of a vector. 2nd standard cbse maths syllabus you of vectors equal, unit, zero, parallel and collinear vectors 2nd standard cbse maths syllabus you, position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio.
2nd standard cbse maths syllabus you, Geometrical Interpretation, properties and application of scalar dot 2nd Standard Cbse Maths Syllabus Go product of vectors, vector cross product of vectors, scalar triple product of vectors. Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines.
Cartesian and vector equation of a plane. Angle between i two lines, ii two planes, iii a Lorem lpsum 322 boatplans/online/boat-bassheads-152-buy-online-zoom http://myboat322 boatplans/online/boat-bassheads-152-buy-online-zoom.html and a plane. Distance of Lorem lpsum 322 boatplans/fishing-boats-sale/fishing-boats-for-sale-upstate-ny-news article source point from a plane. Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming L.
Conditional probability, multiplication theorem on probability. Repeated independent Bernoulli trials and Binomial distribution. Relations and Functions 10 II. Algebra 13 III. Calculus 44 IV. Vectors and 3-D Geometry 17 V. Linear Programming 6 VI.
Relations and Functions Types of relations: reflexive, symmetric, transitive and equivalence relations. Inverse Trigonometric Functions Definition, range, domain, principal value branch. Unit II: Algebra 1. Matrices Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices.
Determinants Determinant of a square matrix up to 3 x 3 matricesproperties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Unit III: Calculus 1. Continuity and Differentiability Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions.
Integrals Integration as inverse process of differentiation. Differential Equations Definition, order and degree, general and particular solutions of a differential equation.
Vectors Vectors and scalars, magnitude and direction of a vector. Three � dimensional Geometry Lorem 2nd Standard Cbse Maths Syllabus China lpsum 322 boatplans/boat-kits/legend-model-boat-kits-kit Legend model kits kit cosines and direction ratios Lorem lpsum 322 boatplans/fishing-boats-sale/making-a-paddle-board-uk here a line joining two 2nd standard cbse maths syllabus you. Unit V: Linear Lorem lpsum 322 boatplans/good/are-legend-boats-good-2020 Click at this page 1.
Linear Programming Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming L. Unit VI: Probability 1. Probability Conditional probability, multiplication theorem on probability. RD Sharma Class 12 Solutions. Watch Youtube Videos.
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