### IIT JEE- Free Study Material, Coaching Notes, Online MCQ Tests in Mathematics,Physics, Chemistry - For 11/12 ISC/CBSE/JEE/AIEEE/CET

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.

 Free MCQ Quizzes and Online Tests for Class 11, 12, IIT and JEE Main/Advanced A big thanks to students from IIT Kharagpur, Guwahati and Madras for contributing to these Quizzes on ProgressionsProbability1 2 3 Complex NumbersQuadratic EquationsMCQ Quiz for Quadratic Equations- test how much you know about the topic !Quadratic In-equationsMCQ Quiz for Quadratic In-equations Coordinate Geometry1 2 3 4 Circles1 2 3 Conic Sections- Parabola, Hyperbola, Ellipse

## 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 JEE

Syllabus :
We introduce complex numbers in this tutorial :  Introduction to Complex Numbers - Relevant for IIT JEE PreparationsIntroduction 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 :

 Introduction to Matrices - Part I- Relevant for IIT JEE Preparations:Introduction to Matrices. Theory, definitions. What a Matrix is, order of a matrix, equality of matrices, different kind of matrices: row matrix, column matrix, square matrix, diagonal, identity and triangular matrices. Definitions of Trace, Minor, Cofactors, Adjoint, Inverse, Transpose of a matrix. Addition, subtraction, scalar multiplication, multiplication of matrices. Defining special types of matrices like Symmetric, Skew Symmetric, Idempotent, Involuntary, Nil-potent, Singular, Non-Singular, Unitary matrices. Introduction to Matrices - Part II - Relevant for IIT JEE preparations: Determinants - Relevant for IIT JEE Preparations Simultaneous linear equations in multiple variables

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 :
 Probability - Part Zero - A Very Basic Introduction - Relevant for IIT JEE preparations Probability - Part 1 - Basic Probability Definitions, Random Variables - Relevant for IIT JEE preparations

### Trigonometry for the IIT JEE

Syllabus : 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 :

 Trigonometry 1a ( Introduction to Trigonometry - Definitions, Formulas) - Relevant to those preparing for IIT JEE Trigonometry 1b ( Tutorial with solved problems based on Trigonometric ratios) - Relevant to those preparing for IIT JEE Trigonometry 2a ( Basic concepts related to Heights and Distances - Relevant to those preparing for the IIT JEE) Trigonometry 2b ( Tutorial with solved problems related to Heights and Distances and other applications of Trigonometry - Relevant to those preparing for the IIT JEE ) Trigonometry 3a ( Introducing Inverse Trigonometric Ratios - Relevant to those preparing for the IIT JEE) Trigonometry 3b ( Tutorial with solved problems related to inverse trigonometric ratios - Relevant to those preparing for IIT JEE ) Trigonometry 4 ( A tutorial on solving trigonometric equations - Relevant to those preparing for IIT JEE )

### Analytical geometry for the IIT JEE

Syllabus : 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 :

 Equation of Straight Line - Relevant to those preparing for the IIT JEE The Circle- Relevant to those preparing for IIT JEE A Quick Introduction to Conic Sections: Parabola, Hyperbola, Ellipse - Relevant to those preparing for IIT JEE Parabola - Relevant to those preparing for IIT JEE Hyperbola - Relevant to those preparing for IIT JEE Ellipse - Relevant to those preparing for IIT JEE

### Differential calculus for the IIT JEE

Syllabus : 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 :

 Quick and introductory definitions related to Funtions, Limits and Continuity- Relevant to those preparing for the IIT JEE Functions, Limits and Continuity - Solved Problem Set I - Relevant to those preparing for IIT JEE Functions, Limits and Continuity - Solved Problem Set II- Relevant to those preparing for IIT JEE Functions, Limits and Continuity - Solved Problem Set III - Relevant to those preparing for  the IIT JEE Introductory concepts and definitions related to Differentiation - Relevant to those preparing for the IIT JEE Differential Calculus - Solved Problem Set I - Relevant to those preparing for the IIT JEE - Differential Calculus - Solved Problem Set II - Relevant to those preparing or IIT JEE Differential Calculus - Solved Problems Set III - Relevant to those preparing for the IIT JEE Differential Calculus - Solved Problems Set IV - Relevant to those preparing for the IIT JEE Differential Calculus - Solved Problems Set V - Relevant to those preparing for the IIT JEE

### Integral calculus and differential equations for the IIT JEE

Syllabus : 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 :

 Introducing Integral Calculus - Relevant to those preparing for IIT JEE Integral Calculus - Solved Problems Set I - Relevant to those preparing for the IIT JEEI Integral Calculus - Solved Problems Set II - Relevant to those preparing for the IIT JEE Integral Calculus - Solved Problems Set III - Relevant to those preparing for the IIT JEE Integral Calculus - Solved Problems Set IV- Relevant to those preparing for the IIT JEE Integral Calculus - Solved Problems Set V- Relevant to those preparing for the IIT JEE Introduction to Differential Equations and Solved Problems - Set I - Relevant to those preparing for IIT JEE Differential Equations - Solved Problems - Set II - A little more advanced than what might be required for IIT JEE, but interesting to study Differential Equations - Solved Problems - Set III - One step higher than what might be required for IIT JEE Differential Equations - Solved Problems - Set IV - One step higher than what might be required for IIT JEE

### Vectors for the IIT JEE

Syllabus : Addition of vectors, scalar multiplication, scalar products, dot and cross products, scalar triple products and their geometrical interpretations.

## The IIT JEE Syllabus for Physics - Free Study Material Available on our site

### General Physics for the IIT JEE

Syllabus:

(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.
 Introduction to Vectors and Motion - Relevant to those preparing for IIT JEE Vectors and Projectile Motion - Relevant to those preparing for IIT JEE Newton's Laws of Motion - Relevant to those preparing for IIT JEE Work, Force and Energy - Relevant to those preparing for IIT JEE Simple Harmonic Motion - Relevant to those preparing for IIT JEE Rotational Dynamics - Relevant to those preparing for IIT JEE Fluid Mechanics - Relevant to those preparing for IIT JEE

### Thermal physics for the IIT JEE

Syllabus :

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 :

 Electrostatics - Part 1: Theory, definitions and problems - Relevant to those preparing for the IIT JEE Electrostatics - Part 2: More solved problems - Relevant to those preparing for IIT JEE Electromagnetism - Part 1: Theory and Definitions - Relevant to those preparing for IIT JEE Electromagnetism - Part 2: Solved problems - Relevant to those preparing for IIT JEE Advanced concepts in Electrostatics and Electromagnetism ( Theory only - This goes a few steps beyond what is required for IIT JEE)

### These are our tutorials related to Electrical DC Circuits which are relevant to those preparing for the IIT JEE :

 Circuit Theory 1a- Introduction to Electrical Engineering, DC Circuits, Resistance and Capacitance, Kirchoff Law - Relevant to those preparing for IIT JEE Circuit Theory 1b - More solved problems related to DC Circuits with Resistance and Capacitance - Relevant to those preparing for IIT JEECapacitors, computing capacitance, RC Circuits, time constant of decay, computing voltage and electrostatic energy across a capacitance Circuit Theory 2a - Introducing Inductors - Relevant to those preparing for IIT JEE Circuit Theory 2b - Problems related to RL, LC, RLC circuits - Relevant to those preparing for IIT JEE Introducing the concept of oscillations. Solving problems related to RL, LC and RLC circuits using calculus based techniques. Circuit Theory 3a - Electrical Networks and Network Theorems - Goes a few steps beyond what is required for IIT JEE Circuit Theory 3b - More network theorems, solved problems - Goes a few steps beyond what is required 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 !

### Chemistry

 Alkanes, Alkenes, Alkynes An Introduction to Carbohydrates An Introduction to Electrochemistry Atomic Structure: Notes, Tutorial, Problems with Solutions Basic Organic Reactions Chemical Equilibrium Chemical Kinetics Combustion Method Co-ordination Compounds Covalent Bonds Hydrogen Isomerism and Stereo-Isomerism Liquid Solutions Nomenclature of Simple Organic Compounds Problems related to Hybridization and Isomers Solid State Stoichiometry The Gaseous State