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What is the 2018 IIT-JEE network curriculum?

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Here is the 2018 JEE Syllabus for Maths Martics, themed, clean, and updated.

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JEE Main & Advanced 2018: Your HR leader and motivator

2018 JEE Core Mathematics Curriculum

UNIT 1: Sets, Relations and Functions

Quantities and their representation;

Union, intersection and completion of sets and their algebraic properties;

Force adjusted;

Relationship, relationship types, equivalence relationships, functions;

One-one, in and on functions, composition of functions.

UNIT 2: Complex numbers and quadratic equations

Complex numbers as ordered real pairs,

Representation of complex numbers in the form a + ib and their representation in one plane,

Argand diagram,

Complex number algebra,

Module 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.

Relationship between roots and coefficient, type of roots,

Formation of quadratic equations with given roots.

UNIT 3: Matrices and determinants

Matrices,

Algebra of matrices,

Types of matrices,

Determinants and matrices of order two and three.

Properties of determinants,

Evaluation of the determinants

Area of ​​the triangles with determinants.

Addition and evaluation of the inverse of a square matrix using determinants and elementary transformations.

Check the consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

UNIT 4: Permutations and Combinations

Basic principle of counting, permutation as arrangement and combination as selection,

Meaning of P (n, r) and C (n, r),

Simple applications.

UNIT 5: Mathematical Induction

Principle of mathematical induction.

Its simple uses.

UNIT 6: Binomial theorem and its simple applications

Binomial theorem for a positive integral index,

General and middle term,

Properties of binomial coefficients and simple applications.

UNIT 7: Sequences and Rows

Arithmetic and geometric progressions,

Inserting arithmetic,

Geometric means between two given numbers.

Relationship between AM and GM

Sum of n terms of the special series: Sn, Sn2, Sn3.

Arithmetico - geometric gradient.

UNIT 8: Boundary, 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 sum, difference, product and quotient of two functions.

Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, compound and implicit functions.

Derivatives of the order up to two.

Rolle and Lagrangian mean theorems.

Applications of derivatives: rate of change of quantities, monotonically increasing and decreasing functions, maxima and minima of functions of a variable, tangents and normals.

UNIT 9: Integral Calculus

A.

Integral as an anti-derivative.

Basic integrals with algebraic, trigonometric, exponential and logarithmic functions.

Integration through substitution, through parts and through partial fractions.

Integration with trigonometric identities.

B.

Evaluation of simple integrals of the integral type as the limit of a sum.

Principle of Analysis.

Properties of certain integrals.

Evaluation of certain integrals, determination of areas of the regions that are delimited by simple curves in standard form.

UNIT 10: Differential Equations

Ordinary differential equations, their order and degree.

Formation of differential equations.

Solution of differential equations according to the method of variable separation, solution of homogeneous and linear differential equations of the type: dy / dx + p (x) y = q (x)

UNIT 11: Coordinate Geometry

A.

Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus curve and its equation, axis shift, inclination of a line, parallel and vertical lines, intersection points of a line on the coordinate axes.

B.

Straight lines:

Different forms of equations of a line, intersection of lines, angles between two lines, conditions for the meeting of three lines, distance of a point from a line, equations of inner and outer bisectors between two lines.

Coordinates of the center of gravity, orthocenter and circumference of a triangle, equation of the line family that runs through the intersection of two lines.

C.

Circles, conic sections:

Standard form of the circular equation, general form of the circular equation, radius and center, circular equation when specifying the end points of a diameter, intersection points of a line and a circle with the center at the origin and condition for a line that is tangent to a circle, equation of the tangent.

Conic sections, equations of conic sections (parabola, ellipse and hyperbola) in standard shapes, condition for y = mx + c is tangent and tangent point (e).

UNIT 12: Three-Dimensional Geometry

Coordinates of a point in space,

Distance between two points,

Section formula,

Directional relationships and direction cosines,

Angle between two crossing lines.

Inclined lines, the shortest distance between them and his equation.

Equations of a line and a plane in various shapes, intersection of a line and a plane, coplanar lines.

UNIT 13: Vector Algebra

Vectors and scalars,

Adding vectors,

Components of a vector in two dimensions and in three-dimensional space,

Scalar and vector products,

Scalar and vector triple product.

UNIT 14: Statistics and Probability

A.

Dispersion measures:

Calculation of mean, median, type of grouped and ungrouped data.

Calculate the standard deviation, variance, and mean deviation for grouped and ungrouped data.

B.

Probability:

Probability of an event, addition and multiplication sets of the probability.

Bayes' theorem, probability distribution of a random variable.

Bernoulli experiments and binomial distribution.

UNIT 15: Trigonometry

Trigonometric identities and equations.

Trigonometric functions.

Inverse trigonometric functions and their properties.

Heights and distances.

UNIT 16: Mathematical Thinking

Statements, logical operations and or implicitly implied if and only if.

Understanding of tautology, contradiction, opposite and counterpositive.