JEE mathematics Important topics
Mathematics is the foundation of complex engineering, In JEE exam Many questions are asked which is based on the formula and their usage.You will need a lot of practice to do well in this subject.The more questions you solve, the more speed and accuracy will increase.By memorizing or reading the formula you will pass the exam but in math it is impossible, You should try to master every topic of Mathematics, and consider these topics realistically.
For JEE exam try to avoid the concept that no part is important or useless in mathematics, all topics are related to each other.So you should not leave any particular section and give more importance to any Section.
Download JEE admit Card 2020
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Admit card
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Result
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soon
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Syllabus
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Website
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Exam Date
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01/09/20 to 06/09/20
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Syllabus JEE Mathematics
1. Calculus
2. Co-ordinate Geomerty
3. 3D Geomerty and vectors
4. Algebra
5. Trigonomerty
JEE Mathematics syllabus Topic wise
Sets, relations and functions
Sets and their representation Union, intersection and complement of sets and their algebraic propertiesnPower set; Relation, Types of relations, equivalence relations, functions; One-one, into and onto functions, the composition of functions.
Complex numbers and quadratic equations Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram,algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number systems and their solutions.Relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots.
Matrices and determinants
Matrices, algebra of matrices,types of matrices,determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations,Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
Permutations and combinations
Fundamental principle of counting,permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications.
Mathematical induction
Principle of Mathematical Induction and its simple applications
Binomial theorem and its simple applications
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients simple applications
Sequences and series
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers relation between A.M. and G.M. sum upto n terms of special series: S n, S n2, Sn3 Arithmetic – Geometric progression
Limit, continuity and differentiability
Real valued functions, algebra of functions polynomials rational trigonometric logarithmic and exponential functions inverse functions Graphs of simple functions Limits, continuity and differentiability Differentiation of the sum, difference, product and quotient of two functions Differentiation of trigonometric inverse trigonometric logarithmic exponentia,
· composite and implicit functions derivatives of order upto two Rolle’s and Lagrange’s Mean Value Theorems Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions Maxima and minima of functions of one variable tangents and normals
Integral calculus
Integral as an anti – derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type Integral as limit of a sum Fundamental Theorem of Calculus Properties of definite integrals
· Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form
Differential equations
Ordinary differential equations, their order and degree. Formation of differential equations.
· Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type: dy/dx+p(x)y=q(x)
Coordinate geometry
Cartesian system of rectangular coordinates 10 in a plane distance formula section formula
· locus and its equation translation of axes slope of a line parallel and perpendicular lines
· intercepts of a line on the coordinate axes
Straight lines:
· Various forms of equations of a line intersection of lines angles between two lines conditions for concurrence of three lines distance of a point from a line equations of internal and external bisectors of angles between two lines coordinates of centroid
· orthocentre and circumcentre of a triangle equation of family of lines passing through the point of intersection of two lines
Circles, conic sections:
Standard form of equation of a circle General form of the equation of a circle, its radius and centre equation of a circle when the endpoints of a diameter are given points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency.
Three dimensional geometry
Coordinates of a point in space distance between two points section formula direction ratios and direction cosines angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, intersection of a line and a plane, coplanar lines.
Vector algebra
Vectors and scalars, addition of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, scalar and vector triple product.
Statistics and probability
Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation variance and mean deviation for grouped and ungrouped data.
Probability:
· Probability of an event addition and multiplication theorems of probability Bayes theorem,
· probability distribution of a random variate Bernoulli trials and Binomial distribution.
Trigonometry
Trigonometric identities and equations Trigonometric functions Inverse trigonometric functions and their properties Heights and Distances
Mathematical reasoning
Statements, logical operations and, or, implies, implied by, if and only if Understanding of tautology, contradiction, converse and contrapositive
Mathematics section JEE main exam 2018
Topics
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Questions
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Marks
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Matrices and
Determinants
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2
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8
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Vector Algebra
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2
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8
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Three Dimensional
Geometry
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2
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8
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Complex numbers and
Quadratic Equation
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2
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8
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Limits, Continuity
and Differentiability
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3
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12
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Integral Calculus
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3
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12
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Coordinate Geometry
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5
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20
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Trigonometry
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1
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4
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Statics and Dynamics
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1
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4
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Statistics and
Probability
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2
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8
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Sets, Relation and
Function
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1
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4
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Sequences and Series
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1
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4
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Binomial Theorem and
Its Application
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1
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4
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Differential
Equation
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1
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4
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Differential
Calculus
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1
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4
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Permutations and
Combinations
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1
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4
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Mathematical
Reasoning
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1
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4
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Total
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30
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120
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Some recommended books of Mathematics for IIT-JEE
- Tata McGraw Hill - Course in Mathematics (IIT-JEE)
- R.D. Sharma - Class 11 and class 12 Mathematics
- S.k. Goyal - Coordinate Geometry (IIT-JEE)
- Amit Agrawal - Differential Calculus (IIT-JEE)
Jee main 2018 maths section
Important Topics
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Distribution Of
Marks
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Algebra
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56
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Calculus
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28
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Conic
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16
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Vector Algebra
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12
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Trigonometry
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8
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