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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.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. 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 :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 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: 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 u-v 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 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.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. Biot-Savart law and Ampere's law, magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying 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 :
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 double-slit experiment. Modern physics: Atomic nucleus; Alpha, beta and gamma radiations; Law of radioactive decay; Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.Photoelectric effect; Bohr's theory of hydrogen-like atoms; Characteristic and continuous X-rays, 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 ! 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IIT JEE- Free Study Material, Coaching Notes, Online MCQ Tests in Mathematics,Physics- For 11/12 ISC/CBSE/JEE/AIEEE/CET
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A Level Mathematics: Revision Notes, Tutorials, Problems with Solutions, Quizzes
A-Level Physics: Revision Notes, Tutorials, Problems with Solutions, Quizzes
AP Calculus AB: Some Free Study Material, Notes and Tutorials with Quizzes/Worksheets/MCQ (Multiple Choice Question) Tests
AP Calculus BC Study Material, Notes, Tutorials, MCQ, Quizzes and Worksheets
GATE Computer Science and Information Technology- Some free Study Material and Notes: All the best with your preparation!
International Baccalaureate (IB) Mathematics HL/SL: Some free notes, study material, tutorials with quizzes/MCQ tests