Here is IIT JEE Mathematics Syllabus 2012 for IIT JEE 2012 Entrance Exam. IIT JEE Mathematics section ask questions based on class 11th and class 12th curriculum. Here given IIT JEE Mathematics Syllabus 2012 in detail.
IIT JEE Mathematics Syllabus For Algebra
Algebra of
complex numbers, addition, multiplication, conjugation, polar
representation, properties of modulus and principal argument, triangle
inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real
coefficients, relations between roots and coefficients, formation of
quadratic equations with given roots, symmetric functions of roots.
Arithmetic, geometric and harmonic
progressions, arithmetic, geometric and harmonic means, sums of finite
arithmetic and geometric progressions, infinite geometric series, sums
of squares and cubes of the first n natural numbers.
Logarithms and their properties.
Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.
Matrices as a rectangular array of real
numbers, equality of matrices, addition, multiplication by a scalar and
product of matrices, transpose of a matrix, determinant of a square
matrix of order up to three, inverse of a square matrix of order up to
three, properties of these matrix operations, diagonal, symmetric and
skew-symmetric matrices and their properties, solutions of simultaneous
linear equations in two or three variables.
Addition and multiplication rules of
probability, conditional probability, Bayes Theorem, independence of
events, computation of probability of events using permutations and
combinations.
IIT JEE Mathematics Syllabus For Trigonometry
Trigonometric
functions, their periodicity and graphs, addition and subtraction
formulae, formulae involving multiple and sub-multiple angles, general
solution of trigonometric equations.
Relations between sides and angles of a triangle, sine rule, cosine
rule, half-angle formula and the area of a triangle, inverse
trigonometric functions (principal value only).
IIT JEE Mathematics Syllabus For Analytical Geometry
Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.
Equation of a straight line in various
forms, angle between two lines, distance of a point from a line; Lines
through the point of intersection of two given lines, equation of the
bisector of the angle between two lines, concurrency of lines; Centroid,
orthocentre, incentre and circumcentre of a triangle.
Equation of a circle in various forms, equations of tangent, normal and chord.
Parametric equations of a circle,
intersection of a circle with a straight line or a circle, equation of a
circle through the points of intersection of two circles and those of a
circle and a straight line.
Equations of a parabola, ellipse and
hyperbola in standard form, their foci, directrices and eccentricity,
parametric equations, equations of tangent and normal.
Locus Problems.
Three dimensions: Direction
cosines and direction ratios, equation of a straight line in space,
equation of a plane, distance of a point from a plane.
IIT JEE Mathematics Syllabus For Differential Calculus
Real
valued functions of a real variable, into, onto and one-to-one
functions, sum, difference, product and quotient of two functions,
composite functions, absolute value, polynomial, rational,
trigonometric, exponential and logarithmic functions.
Limit and continuity of a function,
limit and continuity of the sum, difference, product and quotient of two
functions, L'Hospital's rule of evaluation of limits of functions.
Even and odd functions, inverse of a
function, continuity of composite functions, intermediate value property
of continuous functions.
Derivative of a function, derivative of
the sum, difference, product and quotient of two functions, chain rule,
derivatives of polynomial, rational, trigonometric, inverse
trigonometric, exponential and logarithmic functions.
Derivatives of implicit functions,
derivatives up to order two, geometrical interpretation of the
derivative, tangents and normals, increasing and decreasing functions,
maximum and minimum values of a function, Rolle's Theorem and Lagrange's
Mean Value Theorem.
IIT JEE Mathematics Syllabus For Differential Integral Calculus
Integration as
the inverse process of differentiation, indefinite integrals of
standard functions, definite integrals and their properties, Fundamental
Theorems of Integral Calculus.
Integration by parts, integration by the
methods of substitution and partial fractions, application of definite
integrals to the determination of areas involving simple curves.
Formation of ordinary differential
equations, solution of homogeneous differential equations, separation of
variables method, linear first order differential equations.
IIT JEE Mathematics Syllabus For Vectors
Addition of vectors,
scalar multiplication, dot and cross products, scalar triple products
and their geometrical interpretations.
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