As we all know, in India, the Indian Institute of Technology  Joint Entrance Examination is an annual ritual. It is fairly unnecessary for someone to pay to purchase study material when so much free content is available on the web. For Mathematics and Physics, a large portion of the syllabus overlaps with content available currently at thelearningpoint.net .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 : Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.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. 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 :Arithmetic, Geometric, Harmonic and mixed progressions. Notes, formulas and solved problems. Sum of the first N terms. Arithmetic, Geometric and Harmonic means and the relationship between them.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 skewsymmetric 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 IITJEE 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, Nilpotent, Singular, NonSingular, Unitary matrices.
 Introduction to Matrices  Part II  Relevant for IIT JEE preparations: Problems and solved examples based on the subtopics mentioned above. Some of the problems in this part demonstrate finding the rank, inverse or characteristic equations of matrices. Representing real life problems in matrix form.
 Determinants  Relevant for IIT JEE Preparations Introduction to determinants. Second and third order determinants, minors and cofactors. Properties of determinants and how it remains altered or unaltered based on simple transformations is matrices. Expanding the determinant. Solved problems related to determinants.  Simultaneous linear equations in multiple variablesRepresenting a system of linear equations in multiple variables in matrix form. Using determinants to solve these systems of equations. Meaning of consistent, homogeneous and nonhomogeneous systems of equations. Theorems relating to consistency of systems of equations. Application of Cramer rule. Solved problems demonstrating how to solve linear equations using matrix and determinant related methods.

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 submultiple angles, general solution of trigonometric equations. Relations between sides and angles of a triangle, sine rule, cosine rule, halfangle 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 Coordinate Geometry in 2 Dimensions :
Differential calculus for the IIT JEESyllabus : 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 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  Defining the domain and range of a function, the meaning of continuity, limits, left and right hand limits, properties of limits and the "lim" operator; some common limits; defining the L'Hospital rule, intermediate and extreme value theorems.  Functions, Limits and Continuity  Solved Problem Set I  Relevant to those preparing for IIT JEE  Solved problems demonstrating how to compute the domain and range of functions, drawing the graphs of functions, the mod function, deciding if a function is invertible or not; calculating limits for some elementary examples, solving 0/0 forms, applying L'Hospital rule.
 Functions, Limits and Continuity  Solved Problem Set II Relevant to those preparing for IIT JEE  More advanced cases of evaluating limits, conditions for continuity of functions, common approximations used while evaluating limits for ln ( 1 + x ), sin (x); continuity related problems for more advanced functions than the ones in the first group of problems (in the last tutorial).  Functions, Limits and Continuity  Solved Problem Set III  Relevant to those preparing for the IIT JEE  Problems related to Continuity, intermediate value theorem.  Introductory concepts and definitions related to Differentiation  Relevant to those preparing for the IIT JEE  Theory and definitions introducing differentiability, basic differentiation formulas of common algebraic and trigonometric functions , successive differentiation, Leibnitz Theorem, Rolle's Theorem, Lagrange's Mean Value Theorem, Increasing and decreasing functions, Maxima and Minima; Concavity, convexity and inflexion, implicit differentiation.
 Differential Calculus  Solved Problem Set I  Relevant to those preparing for the IIT JEE  Examples and solved problems  differentiation of common algebraic, exponential, logarithmic, trigonometric and polynomial functions and terms; problems related to differentiability .  Differential Calculus  Solved Problem Set II  Relevant to those preparing or IIT JEE  Examples and solved problems  related to derivability and continuity of functions; changing the independent variable in a differential equation; finding the Nth derivative of functions  Differential Calculus  Solved Problems Set III  Relevant to those preparing for the IIT JEE  Examples and solved problems  related to increasing and decreasing functions; maxima, minima and extreme values; Rolle's Theorem
 Differential Calculus  Solved Problems Set IV  Relevant to those preparing for the IIT JEE  Examples and solved problems  Slope of tangents to a curve, points of inflexion, convexity and concavity of curves, radius of curvature and asymptotes of curves, sketching curves  Differential Calculus  Solved Problems Set V  Relevant to those preparing for the IIT JEE  More examples of investigating and sketching curves, parametric representation of curves 
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 :
Introducing Integral Calculus  Relevant to those preparing for IIT JEE  Theory and definitions. What integration means, the integral and the integrand. Indefinite integrals, integrals of common functions. Definite integration and properties of definite integrals; Integration by substitution, integration by parts, the LIATE rule, Integral as the limit of a sum. Important forms encountered in integration.  Integral Calculus  Solved Problems Set I  Relevant to those preparing for the IIT JEEI  Examples and solved problems  elementary examples of integration involving trigonometric functions, polynomials; integration by parts; area under curves.
 Integral Calculus  Solved Problems Set II  Relevant to those preparing for the IIT JEE  Examples and solved problems  integration by substitution, definite integrals, integration involving trigonometric and inverse trigonometric ratios.  Integral Calculus  Solved Problems Set III  Relevant to those preparing for the IIT JEE Examples and solved problems  Reduction formulas, reducing the integrand to partial fractions, more of definite integrals
 Integral Calculus  Solved Problems Set IV Relevant to those preparing for the IIT JEE  Examples and solved problems  More of integrals involving partial fractions, more complex substitutions and transformations  Integral Calculus  Solved Problems Set V Relevant to those preparing for the IIT JEE  Examples and solved problems  More complex examples of integration, examples of integration as the limit of a summation of a series
 Introduction to Differential Equations and Solved Problems  Set I  Relevant to those preparing for IIT JEE  Theory and definitions. What a differential equation is; ordinary and partial differential equations; order and degree of a differential equation; linear and non linear differential equations; General, particular and singular solutions; Initial and boundary value problems; Linear independence and dependence; Homogeneous equations; First order differential equations; Characteristic and auxiliary equations. Introductory problems demonstrating these concepts. Introducing the concept of Integrating Factor (IF).
 Differential Equations  Solved Problems  Set II  A little more advanced than what might be required for IIT JEE, but interesting to study  Examples and solved problems  Solving linear differential equations, the D operator, auxiliary equations. Finding the general solution ( CF + PI )
 Differential Equations  Solved Problems  Set III  One step higher than what might be required for IIT JEE  More complex cases of differential equations.  Differential Equations  Solved Problems  Set IV  One step higher than what might be required for IIT JEE  Still more differential equations. 
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: Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young's modulus by Searle's method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using uv method, Speed of sound using resonance column, Verification of Ohm's law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
(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 nonuniform); 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. Hooke's law, Young's modulus. Pressure in a fluid; Pascal's law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille's equation excluded), Stoke's law; Terminal velocity, Streamline flow, Equation of continuity, Bernoulli's theorem and its applications. Wave motion (plane waves only), longitudinal and transverse waves, Superposition of waves; progressive and stationary waves; Vibration of strings and air columns. Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).
We have tutorials for most of the mechanics syllabus with the exception of waves, gravitation, materials and collisions.
Thermal physics for the IIT JEESyllabus : Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton's law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases). Blackbody radiation: absorptive and emissive powers; Kirchhoff's law, Wien's displacement law, Stefan's law.
Electricity, Electrostatics and Magnetism for the IIT JEE
Syllabus : Electricity and magnetism: Coulomb's law; Electric field and potential; Electrical Potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field, Electric field lines; Flux of electric field; Gauss's law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor. Electric current: Ohm's law; Series and parallel arrangements of resistances and cells; Kirchhoff's laws and simple applications; Heating effect of current. BiotSavart law and Ampere's law, magnetic field near a currentcarrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a currentcarrying wire in a uniform magnetic field. Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions. Electromagnetic induction: Faraday's law, Lenz's law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.
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 :Circuit Theory 1a Introduction to Electrical Engineering, DC Circuits, Resistance and Capacitance, Kirchoff Law  Relevant to those preparing for IIT JEE Resistors, Capacitors, problems related to these.  Circuit Theory 1b  More solved problems related to DC Circuits with Resistance and Capacitance  Relevant to those preparing for IIT JEE Capacitors, 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 Inductors, inductance, computing selfinductance, fluxlinkages, computing energy stored as a magnetic field in a coil, mutual inductance, dot convention, introduction to RL Circuits and decay of an inductor.  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 Different kind of network elements: Active and passive, linear and nonlinear, lumped and distributed. Voltage and current sources. Superposition theorem, Thevenin (or Helmholtz) theorem and problems based on these.
 Circuit Theory 3b  More network theorems, solved problems  Goes a few steps beyond what is required for the IIT JEE More solved problems and examples related to electrical networks. Star and Delta network transformations, maximum power transfer theorem, Compensation theorem and Tellegen's Theorem and examples related to these.  

Optics: Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification. Wave nature of light: Huygen's principle, interference limited to Young's doubleslit experiment. Modern physics: Atomic nucleus; Alpha, beta and gamma radiations; Law of radioactive decay; Decay constant; Halflife and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.Photoelectric effect; Bohr's theory of hydrogenlike atoms; Characteristic and continuous Xrays, Moseley's law; de Broglie wavelength of matter waves.
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
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