# 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 hands-on experience.

In a way where all subjects in IIT-JEE have equal weight but still, **IIT JEE Maths** possesses its own value as even physics and chemistry are maths-based 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.

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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 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

#### 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 one-to-one 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