Mathematics for IIT JEE
Mathematics has always been either the biggest fear or a friend of students. If you are clear with its formulas and theories then it is as easy as anything else could be. When it is about preparing mathematics for IIT JEE we find many students really fussed and confused within them.
If you are also among such students then now is the time to play with Maths for IIT JEE. We at Kaysons Education have a team of experts as maths faculties. These faculties make sure that any aspirant should not be left with doubts in his mind. The faculties at Kaysons Education are actually IITians with years of handson experience.
In a way where all subjects in IITJEE have equal weight but still, IIT JEE Maths possesses its own value as even physics and chemistry are mathsbased subjects.
IIT JEE Maths Questions or topics that should not be avoided (as per the weightage in exam):
 Trigonometry (10.3%)
 Algebra (31.1%)
 Differential Calculus (17.4%)
 Integral Calculus (13%)
 Vector and 3d Geometry (13.3%)
 Coordinate Geometry (14.9%)
This course covers the complete course module for IIT JEE Mathematics.
Tags:
Syllabus of Maths IIT JEE
IIT JEE Maths full course online
Course Features
 Lectures 127
 Quizzes 0
 Duration 300 hours
 Skill level Class 10th Maths
 Language English
 Students 16
 Assessments Yes

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 progression
 Geometric progression
 Harmonic progression
 Arithmetic mean
 Geometric mean
 Harmonic mean
 Sums of finite arithmetic and geometric progressions
 Infinite geometric series
 Sums of squares
 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 skewsymmetric 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

Trigonometry

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 of a triangle
 Orthocentre of a triangle
 Incentre of a triangle
 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
 Foci
 Directrices and eccentricity
 Parametric equations
 Equations of tangent and normal
 Locus Problems

Three dimensions

Differential calculus
 Real valued functions of a real variable
 Into, onto and onetoone functions
 Sum, difference, product and quotient of two functions
 Composite functions
 Absolute value
 Polynomial
 Rational
 Trigonometric
 Exponential
 Logarithmic functions
 Limit and continuity of a function
 Limit and continuity of the sum, difference, product and quotient of two functions
 L’Hospital 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
 Derivatives of Rational
 Derivatives of Trigonometric function
 Derivatives of Inverse trigonometric functions
 Derivatives of Exponential functions
 Derivatives of 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
 Lagrange’s Mean Value Theorem

Integral calculus
 Integration as the inverse process of differentiation
 Indefinite integrals of standard functions
 Definite integrals and their properties
 Fundamental Theorem 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

Vectors