 You really don't need to pay a tonne of money to Bansals or Resonance or Narayana or Vidyamandir or FIIT JEE or Ramaiah or PACE or Brilliants etc. to qualify the JEE and study in an IIT or NITS or BITs. A lot of the material over here will help you prepare for not just the IIT JEE but also state CET examinations and the BIT SAT.
The IIT JEE Syllabus for Mathematics - Free Study Material Available on our site. Most of these topics are included in the AIEEE Syllabus as well.Most of this content will be relevant for both JEE Advanced/Main. Algebra for the IIT JEESyllabus :We introduce complex numbers in this tutorial : Introduction to Complex Numbers - Relevant for IIT JEE Preparations: Introduction to Complex Numbers and iota. Argand plane and iota. Complex numbers as free vectors. N-th roots of a complex number. Notes, formulas and solved problems related to these sub-topics. Syllabus : Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots. Quadratic Equations have been covered in this tutorial: Quadratic Equations- Relevant for IIT JEE Preparations : Introducing various techniques by which quadratic equations can be solved - factorization, direct formula. Relationship between roots of a quadratic equation. Cubic and higher order equations - relationship between roots and coefficients for these. Graphs and plots of quadratic equations. Some extra notes on quarticcubic Also, go through: Quadratic Inequalities- Relevant for IIT JEE Preparations : Quadratic inequalities. Using factorization and visualization based methods. Syllabus : 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. AP, GP, HP and problems related to them are covered here : Series and Progressions- Relevant for IIT JEE preparations Syllabus : Logarithms and their properties. Syllabus : Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients. Syllabus : 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. Linear Algebra and Matrices : The Four Tutorials over here are relevant to those preparing for IIT-JEE or AIEEE :
Syllabus : Addition and multiplication rules of probability, conditional probability, independence of events, computation of probability of events using permutations and combinations. These two tutorials are relevant to those preparing for IIT JEE :
Trigonometry for the IIT JEESyllabus : 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). All these tutorials are relevant to those preparing for IIT JEE : Analytical geometry for the IIT JEESyllabus : 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. Tutorials on Co-ordinate Geometry in 2 Dimensions : Differential calculus for the IIT JEESyllabus : 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 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, applications of Rolle's Theorem and Lagrange's Mean Value Theorem. These tutorials on Single Variable calculus are relevant to those preparing for the IIT JEE :Integral calculus and differential equations for the IIT JEESyllabus : Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, application of the 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, variables separable method, linear first order differential equations.These tutorials on Single Variable Integral calculus and differential equations are relevant to those preparing for the IIT JEE :Vectors for the IIT JEESyllabus : Addition of vectors, scalar multiplication, scalar products, dot and cross products, scalar triple products and their geometrical interpretations.These tutorials on Vectors are relevant to those preparing for the IIT JEE : The IIT JEE Syllabus for Physics - Free Study Material Available on our siteGeneral Physics for the IIT JEESyllabus: (As of now, we don't have tutorials for the topics above ) Mechanics syllabus for IIT JEE:Syllabus: Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Circular motion (uniform and non-uniform); Relative velocity. Newton's laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy. Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions. Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits. Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies. Linear and angular simple harmonic motions.We have tutorials for most of the mechanics syllabus with the exception of waves, gravitation, materials and collisions. Thermal physics for the IIT JEESyllabus : Electricity, Electrostatics and Magnetism for the IIT JEE Syllabus : We have tutorials covering all that is required in Electricity, Electrostatics and Magnetism for the IIT JEE : These are our Electrostatics and Electromagnetism tutorials which are relevant to those preparing for IIT - JEE :These are our tutorials related to Electrical DC Circuits which are relevant to those preparing for the IIT JEE :
Optics: Wave nature of light: Modern physics: As of now, we don't have tutorials for Optics, Wave nature of Light or Modern Physics. But we might, in the near future. Keep checking this page for updates !
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