jee adVanced 2013 mathematics syllabus
jee advanced 2013 mathematics syllabus
UNIT one - Algebra:
Algebra of complicated numbers, addition, multiplication, conjugation, polar illustration, properties of modulus and principal argument, triangle difference, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, stellate functions of roots.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means that, sums of finite arithmetic and geometric progressions, infinite series, sums of squares and cubes of the primary n natural numbers.
Logarithms and their properties.
Permutations and combos, theorem for a positive integral index, properties of binomial coefficients.
Matrices as an oblong array of real numbers, equality of matrices, addition, multiplication by a scalar and merchandise of matrices, transpose of a matrix, determinant of a matrix of order up to 3, inverse of a matrix of order up to 3, properties of those matrix operations, diagonal, stellate and skew-symmetric matrices and their properties, solutions of concurrent linear equations in 2 or 3 variables.
Addition and multiplication rules of likelihood, contingent probability, mathematician Theorem, independence of events, computation of likelihood of events exploitation permutations and combos.
JEE Advanced 2014 arithmetic information
UNIT a pair of - Trigonometry:
Trigonometric functions, their regularity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general answer of pure mathematics equations.
Relations between sides and angles of a triangle, sine rule, circular function rule, half-angle formula and therefore the space of a triangle, inverse pure mathematics functions (principal worth only).
JEE Advanced 2014 arithmetic information
UNIT three - Analytical geometry:
Two dimensions: philosopher coordinates, distance between 2 points, section formulae, shift of origin.
Equation of a line in varied forms, angle between 2 lines, distance of a degree from a line; Lines through the purpose of intersection of 2 given lines, equation of the bisector of the angle between 2 lines, concurrency of lines; centre of mass, orthocentre, incentre and circumcentre of a triangle.
Equation of a circle in varied forms, equations of tangent, traditional and chord.
Parametric equations of a circle, intersection of a circle with a line or a circle, equation of a circle through the points of intersection of 2 circles and people of a circle and a line.
Equations of a conic, conic and conic in commonplace type, their foci, directrices and eccentricity, constant quantity equations, equations of tangent and traditional.
Locus issues.
JEE Advanced 2014 arithmetic information
Three dimensions: Direction cosines and direction ratios, equation of a line in house, equation of a plane, distance of a degree from a plane.
UNIT four - Differential calculus:
Real valued functions of a true variable, into, onto and matched functions, sum, difference, product and quotient of 2 functions, composite functions, definite quantity, polynomial, rational, pure mathematics, exponential and exponent functions.
Limit and continuity of a operate, limit and continuity of the total, difference, product and quotient of 2 functions, L Hospital rule of analysis of limits of functions.
Even and odd functions, inverse of a operate, continuity of composite functions, intermediate worth property of continuous functions.
Derivative of a operate, by-product of the total,
difference, product and quotient of 2 functions, chain rule, derivatives of polynomial, rational, pure mathematics, inverse pure mathematics, exponential and exponent functions.
Derivatives of implicit functions, derivatives up to order 2, geometrical interpretation of the by-product, tangents and normals, increasing and decreasing functions, most and minimum values of a operate, Rolle’s Theorem and Lagrange’s norm Theorem.
JEE Advanced 2014 arithmetic information
UNIT five - Integral calculus:
Integration because the inverse method of differentiation, indefinite integrals of normal functions, definite integrals and their properties, basic Theorem of the calculus.
Integration by components, integration by the ways of substitution and partial fractions, application of definite integrals to the determination of areas involving straightforward curves.
Formation of normal differential equations, answer of same differential equations, separation of variables technique, linear 1st order differential equations.
JEE Advanced 2014 arithmetic information
UNIT half dozen - Vectors:
Addition of vectors, scalar multiplication, dot and cross merchandise, scalar triple merchandise and their geometrical interpretations.
JEE Advanced 2014 Physics Syllabus
UNIT one - Algebra:
Algebra of complicated numbers, addition, multiplication, conjugation, polar illustration, properties of modulus and principal argument, triangle difference, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, stellate functions of roots.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means that, sums of finite arithmetic and geometric progressions, infinite series, sums of squares and cubes of the primary n natural numbers.
Logarithms and their properties.
Permutations and combos, theorem for a positive integral index, properties of binomial coefficients.
Matrices as an oblong array of real numbers, equality of matrices, addition, multiplication by a scalar and merchandise of matrices, transpose of a matrix, determinant of a matrix of order up to 3, inverse of a matrix of order up to 3, properties of those matrix operations, diagonal, stellate and skew-symmetric matrices and their properties, solutions of concurrent linear equations in 2 or 3 variables.
Addition and multiplication rules of likelihood, contingent probability, mathematician Theorem, independence of events, computation of likelihood of events exploitation permutations and combos.
JEE Advanced 2014 arithmetic information
UNIT a pair of - Trigonometry:
Trigonometric functions, their regularity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general answer of pure mathematics equations.
Relations between sides and angles of a triangle, sine rule, circular function rule, half-angle formula and therefore the space of a triangle, inverse pure mathematics functions (principal worth only).
JEE Advanced 2014 arithmetic information
UNIT three - Analytical geometry:
Two dimensions: philosopher coordinates, distance between 2 points, section formulae, shift of origin.
Equation of a line in varied forms, angle between 2 lines, distance of a degree from a line; Lines through the purpose of intersection of 2 given lines, equation of the bisector of the angle between 2 lines, concurrency of lines; centre of mass, orthocentre, incentre and circumcentre of a triangle.
Equation of a circle in varied forms, equations of tangent, traditional and chord.
Parametric equations of a circle, intersection of a circle with a line or a circle, equation of a circle through the points of intersection of 2 circles and people of a circle and a line.
Equations of a conic, conic and conic in commonplace type, their foci, directrices and eccentricity, constant quantity equations, equations of tangent and traditional.
Locus issues.
JEE Advanced 2014 arithmetic information
Three dimensions: Direction cosines and direction ratios, equation of a line in house, equation of a plane, distance of a degree from a plane.
UNIT four - Differential calculus:
Real valued functions of a true variable, into, onto and matched functions, sum, difference, product and quotient of 2 functions, composite functions, definite quantity, polynomial, rational, pure mathematics, exponential and exponent functions.
Limit and continuity of a operate, limit and continuity of the total, difference, product and quotient of 2 functions, L Hospital rule of analysis of limits of functions.
Even and odd functions, inverse of a operate, continuity of composite functions, intermediate worth property of continuous functions.
Derivative of a operate, by-product of the total,
difference, product and quotient of 2 functions, chain rule, derivatives of polynomial, rational, pure mathematics, inverse pure mathematics, exponential and exponent functions.
Derivatives of implicit functions, derivatives up to order 2, geometrical interpretation of the by-product, tangents and normals, increasing and decreasing functions, most and minimum values of a operate, Rolle’s Theorem and Lagrange’s norm Theorem.
JEE Advanced 2014 arithmetic information
UNIT five - Integral calculus:
Integration because the inverse method of differentiation, indefinite integrals of normal functions, definite integrals and their properties, basic Theorem of the calculus.
Integration by components, integration by the ways of substitution and partial fractions, application of definite integrals to the determination of areas involving straightforward curves.
Formation of normal differential equations, answer of same differential equations, separation of variables technique, linear 1st order differential equations.
JEE Advanced 2014 arithmetic information
UNIT half dozen - Vectors:
Addition of vectors, scalar multiplication, dot and cross merchandise, scalar triple merchandise and their geometrical interpretations.
JEE Advanced 2014 Physics Syllabus