**JEE Main 2015 Mathematics Important Topics**

**According to various coaching experts, following are the Important Topics **

**of Mathematics that JEE Main 2015 aspirants must prepare thoroughly.**

**Mr. Shailendra Maheshwari, Director- Career Point suggests **

**following Important Topics of Mathematics for JEE Main 2015 **

### Preparation-Conic Section

### P&C

### Probability

### Quadratic Equation

### Definite Integration

### Differential Equation

### Vector and 3D

### Complex Number

**As per Mr. Aakash Chaudhry, Director, Aakash Educational **

**Services, JEE Main 2015 aspirants shall prepare following topics of **

### Mathematics-Calculus

### Determinants

### Sequences

### Permutation

### Combination

### Coordinate Geometry

### Vectors

### Three dimensional geometry

**Mr. Ramesh Batlish, Center Head- FIITJEE (Noida center), suggests **

**following Important Topics of Mathematics for JEE Main 2015 **

### Preparation-Quadratic Equations &

### Expressions

### Complex Numbers

### Probability

### Vectors & 3D Geometry

### Matrices in Algebra; Circle,

### Parabola, Hyperbola in

### Coordinate Geometry

### Functions, Limits, Continuity and

### Differentiability

**According to Dr. Ravi Prakash- Associate Professor in the **

**Department of Mathematics, Delhi University, following books shall be**

**referred for JEE Main 2015 Mathematics **

### Preparation-

### Complete Mathematics by McGraw Hill Education Pvt Ltd.

###

### Coordinate Geometry by S.L. Loney

###

### 103 Trigonometry Problems by Titu Andreescu & Zuming Feng

**JEE Main 2015 Mathematics Important Books**

**According to various coaching experts, following are the Important Books **

**of Mathematics that JEE Main 2015 aspirants must refer while preparing **

### for the exam.

**According to Mr. Aakash Chaudhry, the Important Books of **

**Mathematics for JEE Main 2015 **

### are-

### NCERT text book and exemplar

###

### Co-ordinate geometry and trigonometry- S L Loney

###

### Calculus – I.A, Maron

###

### Algebra- Hall & Knight + Bernard- child

###

### Previous year IIT-JEE question bank

**Mr. Ramesh Batlishsuggests following Important Mathematics **

**Books-Author / Publisher**

**Name of Book**

### NCERT

### Maths XI & XII

### S. L. Loney

### Trigonometry

### S. L. Loney

### Co-ordinate Geometry

### Hall & Knight

### Higher Algebra

### I.A. Maron

### Problems in Calculus of One

### Variable

**JEE Main 2015 Physics Important Topics**

**According to various coaching experts, following are the Most Important **

**Topics of Physics that **

**JEE Main 2015**

### aspirants must prepare thoroughly.

**Mr. Shailendra Maheshwari, Career Point, suggests followingJEE **

**Main 2015 Physics Important **

### Conservation Laws

### Rotation Motion

### Electrostatics

### EMI

### Heat and Thermodynamics

### Nuclear Physics

### Radioactivity

### Semiconductor

**Mr. Aakash Chaudhrysays that following JEE Main 2015 Physics **

**Important Topics shall be studied by students **

### thoroughly-

### Kinematics

###

### Dynamics

###

### Theory of Fields (Electromagnetism)

**Mr. Ramesh Batlish, FIITJEE (Noida center), suggests following Physics **

**Important Topics for JEE Main 2015 **

### Preparation-Mechanics

### Fluids

### Heat & Thermodynamics

### Waves and Sound

### Capacitors & Electrostatics

### Magnetics

### Electromagnetic Induction

### Optics

### Modern Physics

**JEE Main 2015 Physics **

**Important Books**

**According to various coaching experts, following are the Important Books **

**of Physics that JEE Main 2015 aspirants must refer while preparing for the**

### exam.

**Mr. Aakash Chaudhry recommends NCERT text book & exemplar and **

**previous years’ JEE objective type question (single option) for JEE Main **

**2015 Physics Preparation.**

**According toMr. Ramesh Batlish, JEE Main 2015 aspirants shall prepare **

### for Physics section from following

**books-Authors / Publisher**

**Name of Book**

### H.C. Verma

### Concepts of Physics Vol I and II

### I.E. Irodov

### Problems in General Physics

### Halliday, Resnick & Walker

### Fundamentals of Physics

**JEE Main 2015 Chemistry **

**Important Topics**

**According to various coaching experts, following are the Important Topics **

**of Chemistry that JEE Main 2015 aspirants must prepare thoroughly.**

**Mr. Shailendra Maheshwari, Director- Career Pointrecommends **

**following Important Topics of Chemistry for JEE Main 2015 **

### Preparation-

### Redox Reactions

###

### Electrochemistry

###

### Chemical Kinetics

###

### P Block Elements

**Mr. Aakash Chaudhry says, “A proper understanding of Physical **

### Chemistry and Inorganic Chemistry can prove beneficial for students

### appearing for JEE Main 2015”.

**Mr. Ramesh Batlish, Center Head- FIITJEE, suggests following JEE **

### Main 2015 Chemistry Important

### Topics-Qualitative Analysis

### Coordination Chemistry &

### Chemical Bonding in Inorganic

### Chemistry

### Electrochemistry

### Thermodynamics

### Chemical Equilibrium in Physical

### Chemistry

### Organic Chemistry

**JEE Main 2015 Chemistry Important Books**

**According to various coaching experts, following are the Important Books **

**of Chemistry that JEE Main 2015 aspirants must refer while preparing for**

### the exam.

**Mr. Aakash Chaudhry recommends following JEE Main 2015 Chemistry **

**Important **

### Books-1.

### NCERT text book and exemplar

### 2.

### Physical chemistry- P. Bahadur, N Awasthi, Atkins & RC Mukherjee

### 3.

### Organic chemistry- M.S. Chouhan, Jerry March I.L. Finar

### 4.

### Inorganic chemistry- JD Lee

**Mr. Ramesh Batlish suggests following Important Books for Chemistry **

**Preparation-Authors / Publisher**

**Name of Book**

### P. Bahadur

### Numerical Chemistry

### Paula Bruice Yurkanis

### Organic Chemistry

### J.D. Lee

### Inorganic Chemistry

### Organic Chemistry by Morrison &

### Boyd

**Preparing complete JEE Main 2015 Syllabus is important. But if the above **

### recommended topics of each subject are prepared with extra dedication and

**efforts, then there are good chances of securing a good score in JEE Main **

**2015.**

**Click here**

** to know complete JEE Main 2015 Syllabus of **

**Mathematics, Physics and Chemistry.**

**Careers360 wishes JEE Main aspirants All The Best!!**

**Careers360 wishes JEE Main aspirants All The Best!!**

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### IMPORTANT DATES

### IISER

Event Date (2015)

1. Opening of application portal for JEE/KVPY/SCB stream 2. Last date for application for JEE/KVPY stream

3. Last date for application for SCB stream

4. Result - Publishing of allocation list of JEE/KVPY channel 5. Last date for payment of admission fees for JEE/KVPY stream 6. IISER SCB aptitude test

7. Result/Allocation of SCB stream

8. Last date of payment of admission fees for SCB stream 9. Course commences

**Important Dates**

**Important Dates**

**Online registration starts: May 2, 2015**

**Online registration starts: May 2, 2015**

**Exam date: May 24, 2015 Result: June 18,**

**Exam date: May 24, 2015 Result: June 18,**

**2015**

**2015**

**UPCOMING**

**UPCOMING**

**02May**

**02May**

**2015**

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**Online registrations startView More**

**Online registrations startView More**

**07May**

**07May**

**2015**

**2015**

**Last date for online registrationView More**

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**09May**

**09May**

**2015**

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**Start date for downloading admit cardView More**

**Start date for downloading admit cardView More**

**14May**

**14May**

**2015**

**2015**

**Last date to download admit cardView More**

**Last date to download admit cardView More**

**24May**

**24May**

**2015**

**2015**

**JEE Advanced 2015 Exam DateView More**

**JEE Advanced 2015 Exam DateView More**

**18Jun**

**18Jun**

**2015**

**2015**

**Declaration of resultView More**

**Declaration of resultView More**

**pass the handy book-tgf**

**pass the handy book-tgf**

**syllabus-Physics Syllabus**

**syllabus-Physics Syllabus**

**General: Units and dimensions, dimensional analysis; least count,**

**General: Units and dimensions, dimensional analysis; least count,**

**significant figures; Methods of measurement and error analysis for physical**

**significant figures; Methods of measurement and error analysis for physical**

**quantities pertaining to the following experiments: Experiments based on**

**quantities pertaining to the following experiments: Experiments based on**

**using Vernier calipers and screw gauge (micrometer), Determination of g**

**using Vernier calipers and screw gauge (micrometer), Determination of g**

**using simple pendulum, Young’s modulus by Searle’s method, Specific heat**

**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**

**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**

**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**

**of Ohm’s law using voltmeter and ammeter, and specific resistance of the**

**material of a wire using meter bridge and post office box.**

**material of a wire using meter bridge and post office box.**

**Mechanics: Kinematics in one and two dimensions (Cartesian coordinates**

**Mechanics: Kinematics in one and two dimensions (Cartesian coordinates**

**only), projectiles; Uniform Circular motion; Relative velocity.**

**only), projectiles; Uniform Circular motion; Relative velocity.**

**Newton’s laws of motion; Inertial and uniformly accelerated frames of**

**Newton’s laws of motion; Inertial and uniformly accelerated frames of**

**reference; Static and dynamic friction; Kinetic and potential energy; Work and**

**reference; Static and dynamic friction; Kinetic and potential energy; Work and**

**power; Conservation of linear momentum and mechanical energy.**

**power; Conservation of linear momentum and mechanical energy.**

**Systems of particles; Centre of mass and its motion; Impulse; Elastic and**

**Systems of particles; Centre of mass and its motion; Impulse; Elastic and**

**inelastic collisions.**

**inelastic collisions.**

**Law of gravitation; Gravitational potential and field; Acceleration due to**

**Law of gravitation; Gravitational potential and field; Acceleration due to**

**gravity; Motion of planets and satellites in circular orbits; Escape velocity.**

**gravity; Motion of planets and satellites in circular orbits; Escape velocity.**

**Rigid body, moment of inertia, parallel and perpendicular axes theorems,**

**Rigid body, moment of inertia, parallel and perpendicular axes theorems,**

**moment of inertia of uniform bodies with simple geometrical shapes; Angular**

**moment of inertia of uniform bodies with simple geometrical shapes; Angular**

**momentum; Torque; Conservation of angular momentum; Dynamics of rigid**

**momentum; Torque; Conservation of angular momentum; Dynamics of rigid**

**bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders**

**bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders**

**and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid**

**and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid**

**bodies.**

**bodies.**

**Hooke’s law, Young’s modulus.**

**Hooke’s law, Young’s modulus.**

**Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface**

**Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface**

**tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law;**

**tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law;**

**Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem**

**Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem**

**and its applications.**

**and its applications.**

**Wave motion (plane waves only), longitudinal and transverse waves,**

**Wave motion (plane waves only), longitudinal and transverse waves,**

**superposition of waves; Progressive and stationary waves; Vibration of**

**superposition of waves; Progressive and stationary waves; Vibration of**

**strings and air columns;Resonance; Beats; Speed of sound in gases;**

**strings and air columns;Resonance; Beats; Speed of sound in gases;**

**Doppler effect (in sound).**

**Doppler effect (in sound).**

**Thermal physics: Thermal expansion of solids, liquids and gases;**

**Thermal physics: Thermal expansion of solids, liquids and gases;**

**Calorimetry, latent heat; Heat conduction in one dimension; Elementary**

**Calorimetry, latent heat; Heat conduction in one dimension; Elementary**

**concepts of convection and radiation; Newton’s law of cooling; Ideal gas**

**concepts of convection and radiation; Newton’s law of cooling; Ideal gas**

**laws; Specific heats (Cv and Cp for monoatomic and diatomic gases);**

**laws; Specific heats (Cv and Cp for monoatomic and diatomic gases);**

**Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of**

**Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of**

**heat and work; First law of thermodynamics and its applications (only for**

**heat and work; First law of thermodynamics and its applications (only for**

**ideal gases); Blackbody radiation: absorptive and emissive powers;**

**ideal gases); Blackbody radiation: absorptive and emissive powers;**

**Kirchhoff’s law; Wien’s displacement law, Stefan’s law.**

**Kirchhoff’s law; Wien’s displacement law, Stefan’s law.**

**Electricity and magnetism: Coulomb’s law; Electric field and potential;**

**Electricity and magnetism: Coulomb’s law; Electric field and potential;**

**Electrical potential energy of a system of point charges and of electrical**

**Electrical potential energy of a system of point charges and of electrical**

**dipoles in a uniform electrostatic field; Electric field lines; Flux of electric**

**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**

**field; Gauss’s law and its application in simple cases, such as, to find field**

**due to infinitely long **

**due to infinitely long**

**straight**

**straight**

** wire, uniformly charged infinite plane sheet and**

**wire, uniformly charged infinite plane sheet and**

**uniformly charged thin spherical shell.**

**uniformly charged thin spherical shell.**

**Capacitance; Parallel plate capacitor with and without dielectrics;**

**Capacitance; Parallel plate capacitor with and without dielectrics;**

**Capacitors in series and parallel; Energy stored in a capacitor.**

**Capacitors in series and parallel; Energy stored in a capacitor.**

**resistances and cells; Kirchhoff’s laws and simple applications; Heating**

**resistances and cells; Kirchhoff’s laws and simple applications; Heating**

**effect of current.**

**effect of current.**

**Biot Savart’s law and Ampere’s law; Magnetic field near a **

**Biot Savart’s law and Ampere’s law; Magnetic field near a**

**current-carrying **

**current-carrying**

**straight**

**straight**

** wire, along the axis of a circular coil and inside a**

**wire, along the axis of a circular coil and inside a**

**long **

**long**

**straight**

**straight**

**solenoid; Force on a moving charge and on a current-carrying**

**solenoid; Force on a moving charge and on a current-carrying**

**wire in a uniform magnetic field.**

**wire in a uniform magnetic field.**

**Magnetic moment of a current loop; Effect of a uniform magnetic field on a**

**Magnetic moment of a current loop; Effect of a uniform magnetic field on a**

**current loop; Moving coil galvanometer, voltmeter, ammeter and their**

**current loop; Moving coil galvanometer, voltmeter, ammeter and their**

**conversions.**

**conversions.**

**Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual**

**Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual**

**inductance; RC, LR and LC circuits with D.C. and A.C. sources.**

**inductance; RC, LR and LC circuits with D.C. and A.C. sources.**

**Optics: Rectilinear propagation of light; Reflection and refraction at plane**

**Optics: Rectilinear propagation of light; Reflection and refraction at plane**

**and spherical surfaces; Total internal reflection; Deviation and dispersion of**

**and spherical surfaces; Total internal reflection; Deviation and dispersion of**

**light by a prism; Thin lenses; Combinations of mirrors and thin lenses;**

**light by a prism; Thin lenses; Combinations of mirrors and thin lenses;**

**Magnification.**

**Magnification.**

**Wave nature of light: Huygen’s principle, interference limited to Young’s**

**Wave nature of light: Huygen’s principle, interference limited to Young’s**

**double-slit experiment.**

**double-slit experiment.**

**Modern physics: Atomic nucleus; Alpha, beta and gamma radiations; Law**

**Modern physics: Atomic nucleus; Alpha, beta and gamma radiations; Law**

**of radioactive decay; Decay constant; Half-life and mean life; Binding energy**

**of radioactive decay; Decay constant; Half-life and mean life; Binding energy**

**and its calculation; Fission and fusion processes; Energy calculation in these**

**and its calculation; Fission and fusion processes; Energy calculation in these**

**processes.**

**processes.**

**Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic**

**Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic**

**and continuous X-rays, Moseley’s law; de Broglie wavelength of matter**

**and continuous X-rays, Moseley’s law; de Broglie wavelength of matter**

**waves.**

**waves.**

**Algebra: Algebra of complex numbers, addition, multiplication,**

**Algebra: Algebra of complex numbers, addition, multiplication,**

**conjugation, polar representation, properties of modulus and principal**

**conjugation, polar representation, properties of modulus and principal**

**argument, triangle inequality, cube roots of unity, geometric**

**argument, triangle inequality, cube roots of unity, geometric**

**interpretations.Quadratic equations with real coefficients, relations between**

**interpretations.Quadratic equations with real coefficients, relations between**

**roots and coefficients, formation of quadratic equations with given roots,**

**roots and coefficients, formation of quadratic equations with given roots,**

**symmetric functions of roots.**

**symmetric functions of roots.**

**Arithmetic, geometric and harmonic progressions, arithmetic, geometric**

**Arithmetic, geometric and harmonic progressions, arithmetic, geometric**

**and harmonic means, sums of finite arithmetic and geometric progressions,**

**and harmonic means, sums of finite arithmetic and geometric progressions,**

**infinite geometric series, sums of squares and cubes of the first n natural**

**infinite geometric series, sums of squares and cubes of the first n natural**

**numbers.**

**numbers.**

**Logarithms and their properties.**

**Logarithms and their properties.**

**Permutations and combinations, Binomial theorem for a positive integral**

**Permutations and combinations, Binomial theorem for a positive integral**

**index, properties of binomial coefficients.**

**index, properties of binomial coefficients.**

**Matrices as a rectangular array of real numbers, equality of matrices,**

**Matrices as a rectangular array of real numbers, equality of matrices,**

**addition, multiplication by a scalar and product of matrices, transpose of a**

**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**

**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,**

**square matrix of order up to three, properties of these matrix operations,**

**diagonal, symmetric and skew-symmetric matrices and their properties,**

**diagonal, symmetric and skew-symmetric matrices and their properties,**

**solutions of simultaneous linear equations in two or three variables.**

**solutions of simultaneous linear equations in two or three variables.**

**Addition and multiplication rules of probability, conditional probability,**

**Addition and multiplication rules of probability, conditional probability,**

**Bayes Theorem, independence of events, computation of probability of**

**Bayes Theorem, independence of events, computation of probability of**

**events using permutations and combinations.**

**events using permutations and combinations.**

**Trigonometry: Trigonometric functions, their periodicity and graphs,**

**Trigonometry: Trigonometric functions, their periodicity and graphs,**

**addition and subtraction formulae, formulae involving multiple and **

**addition and subtraction formulae, formulae involving multiple and**

**sub-multiple angles, general solution of trigonometric equations.**

**sub-multiple angles, general solution of trigonometric equations.**

**half-angle formula and the area of a triangle, inverse trigonometric functions**

**half-angle formula and the area of a triangle, inverse trigonometric functions**

**(principal value only).**

**(principal value only).**

**Analytical geometry:**

**Analytical geometry:**

**Two dimensions: Cartesian coordinates, distance between two points,**

**Two dimensions: Cartesian coordinates, distance between two points,**

**section formulae, shift of origin.**

**section formulae, shift of origin.**

**Equation of a **

**Equation of a**

**straight**

**straight**

** line in various forms, angle between two lines,**

**line in various forms, angle between two lines,**

**distance of a point from a line; Lines through the point of intersection of two**

**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,**

**given lines, equation of the bisector of the angle between two lines,**

**concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a**

**concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a**

**triangle.**

**triangle.**

**Equation of a circle in various forms, equations of tangent, normal and**

**Equation of a circle in various forms, equations of tangent, normal and**

**chord.**

**chord.**

**Parametric equations of a circle, intersection of a circle with a **

**Parametric equations of a circle, intersection of a circle with a**

**or a circle, equation of a circle through the points of intersection of two**

**or a circle, equation of a circle through the points of intersection of two**

**circles and those of a circle and a **

**circles and those of a circle and a**

**straight**

**straight**

** line.**

**line.**

**Equations of a parabola, ellipse and hyperbola in standard form, their foci,**

**Equations of a parabola, ellipse and hyperbola in standard form, their foci,**

**directrices and eccentricity, parametric equations, equations of tangent and**

**directrices and eccentricity, parametric equations, equations of tangent and**

**normal.**

**normal.**

**Locus Problems.**

**Locus Problems.**

**hree dimensions: Direction cosines and direction ratios, equation of**

**hree dimensions: Direction cosines and direction ratios, equation of**

**a **

**a**

**straight**

**straight**

** line in space, equation of a plane, distance of a point from a plane.**

**line in space, equation of a plane, distance of a point from a plane.**

**Differential calculus: Real valued functions of a real variable, into, onto**

**Differential calculus: Real valued functions of a real variable, into, onto**

**and one-to-one functions, sum, difference, product and quotient of two**

**and one-to-one functions, sum, difference, product and quotient of two**

**functions, composite functions, absolute value, polynomial, rational,**

**functions, composite functions, absolute value, polynomial, rational,**

**trigonometric, exponential and logarithmic functions.**

**trigonometric, exponential and logarithmic functions.**

**Limit and continuity of a function, limit and continuity of the sum,**

**Limit and continuity of a function, limit and continuity of the sum,**

**difference, product and quotient of two functions, L’Hospital rule of**

**difference, product and quotient of two functions, L’Hospital rule of**

**evaluation of limits of functions.**

**evaluation of limits of functions.**

**Even and odd functions, inverse of a function, continuity of composite**

**Even and odd functions, inverse of a function, continuity of composite**

**functions, intermediate value property of continuous functions.**

**functions, intermediate value property of continuous functions.**

**Derivative of a function, derivative of the sum,**

**Derivative of a function, derivative of the sum,**

**difference, product and quotient of two functions, chain rule, derivatives of**

**difference, product and quotient of two functions, chain rule, derivatives of**

**polynomial, rational, trigonometric, inverse trigonometric, exponential and**

**polynomial, rational, trigonometric, inverse trigonometric, exponential and**

**logarithmic functions.**

**logarithmic functions.**

**Derivatives of implicit functions, derivatives up to order two, geometrical**

**Derivatives of implicit functions, derivatives up to order two, geometrical**

**interpretation of the derivative, tangents and normals, increasing and**

**interpretation of the derivative, tangents and normals, increasing and**

**decreasing functions, maximum and minimum values of a function, Rolle’s**

**decreasing functions, maximum and minimum values of a function, Rolle’s**

**Theorem and Lagrange’s Mean Value Theorem.**

**Theorem and Lagrange’s Mean Value Theorem.**

**Integral calculus: Integration as the inverse process of differentiation,**

**Integral calculus: Integration as the inverse process of differentiation,**

**indefinite integrals of standard functions, definite integrals and their**

**indefinite integrals of standard functions, definite integrals and their**

**properties, Fundamental Theorem of Integral Calculus.**

**properties, Fundamental Theorem of Integral Calculus.**

**Integration by parts, integration by the methods of substitution and partial**

**Integration by parts, integration by the methods of substitution and partial**

**fractions, application of definite integrals to the determination of areas**

**fractions, application of definite integrals to the determination of areas**

**involving simple curves.**

**involving simple curves.**

**Formation of ordinary differential equations, solution of homogeneous**

**Formation of ordinary differential equations, solution of homogeneous**

**differential equations, separation of variables method, linear first order**

**differential equations, separation of variables method, linear first order**

**differential equations.**

**differential equations.**

**Vectors: Addition of vectors, scalar multiplication, dot and cross products,**

**Vectors: Addition of vectors, scalar multiplication, dot and cross products,**

**scalar triple products and their geometrical interpretations**

**scalar triple products and their geometrical interpretations**

**Chemistry syllabus**

**Chemistry syllabus**

**Physical chemistry**

**Physical chemistry**

**General topics: Concept of atoms and molecules; Dalton’s atomic theory;**

**General topics: Concept of atoms and molecules; Dalton’s atomic theory;**

**Mole concept; Chemical formulae; Balanced chemical equations;**

**Mole concept; Chemical formulae; Balanced chemical equations;**

**Calculations (based on mole concept) involving common oxidation-reduction,**

**Calculations (based on mole concept) involving common oxidation-reduction,**

**neutralisation, and displacement reactions; Concentration in terms of mole**

**neutralisation, and displacement reactions; Concentration in terms of mole**

**fraction, molarity, molality and normality.**

**fraction, molarity, molality and normality.**

**Gaseous and liquid states: Absolute scale of temperature, ideal gas**

**Gaseous and liquid states: Absolute scale of temperature, ideal gas**

**equation; Deviation from ideality, van der Waals equation; Kinetic theory of**

**equation; Deviation from ideality, van der Waals equation; Kinetic theory of**

**gases, average, root mean square and most probable velocities and their**

**gases, average, root mean square and most probable velocities and their**

**relation with temperature; Law of partial pressures; Vapour pressure;**

**relation with temperature; Law of partial pressures; Vapour pressure;**

**Diffusion of gases.**

**Diffusion of gases.**

**Atomic structure and chemical bonding: Bohr model, spectrum of**

**Atomic structure and chemical bonding: Bohr model, spectrum of**

**hydrogen atom, quantum numbers; Wave-particle duality, de Broglie**

**hydrogen atom, quantum numbers; Wave-particle duality, de Broglie**

**hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of**

**hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of**

**hydrogen atom, shapes of s, p and d orbitals; Electronic configurations of**

**hydrogen atom, shapes of s, p and d orbitals; Electronic configurations of**

**elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion**

**elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion**

**principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation**

**principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation**

**involving s, p and d orbitals only; Orbital energy diagrams for homonuclear**

**involving s, p and d orbitals only; Orbital energy diagrams for homonuclear**

**diatomic species; Hydrogen bond; Polarity in molecules, dipole moment**

**diatomic species; Hydrogen bond; Polarity in molecules, dipole moment**

**(qualitative aspects only); VSEPR model and shapes of molecules (linear,**

**(qualitative aspects only); VSEPR model and shapes of molecules (linear,**

**angular, triangular, square planar, pyramidal, square pyramidal, trigonal**

**angular, triangular, square planar, pyramidal, square pyramidal, trigonal**

**bipyramidal, tetrahedral and octahedral).**

**bipyramidal, tetrahedral and octahedral).**

**pressure-volume work; Enthalpy, Hess’s law; Heat of reaction, fusion and**

**pressure-volume work; Enthalpy, Hess’s law; Heat of reaction, fusion and**

**vapourization; Second law of thermodynamics; Entropy; Free energy;**

**vapourization; Second law of thermodynamics; Entropy; Free energy;**

**Criterion of spontaneity.**

**Criterion of spontaneity.**

**Chemical equilibrium: Law of mass action; Equilibrium constant, Le**

**Chemical equilibrium: Law of mass action; Equilibrium constant, Le**

**Chatelier’s principle (effect of concentration, temperature and pressure);**

**Chatelier’s principle (effect of concentration, temperature and pressure);**

**Significance of ?G and ?G° in chemical equilibrium; Solubility product,**

**Significance of ?G and ?G° in chemical equilibrium; Solubility product,**

**common ion effect, pH and buffer solutions; Acids and bases (Bronsted and**

**common ion effect, pH and buffer solutions; Acids and bases (Bronsted and**

**Lewis concepts); Hydrolysis of salts.**

**Lewis concepts); Hydrolysis of salts.**

**Electrochemistry: Electrochemical cells and cell reactions; Standard**

**Electrochemistry: Electrochemical cells and cell reactions; Standard**

**electrode potentials; Nernst equation and its relation to ?G; Electrochemical**

**electrode potentials; Nernst equation and its relation to ?G; Electrochemical**

**series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic**

**series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic**

**conductance, specific, equivalent and molar conductivity, Kohlrausch’s law;**

**conductance, specific, equivalent and molar conductivity, Kohlrausch’s law;**

**Concentration cells.**

**Concentration cells.**

**Chemical kinetics: Rates of chemical reactions; Order of reactions; Rate**

**Chemical kinetics: Rates of chemical reactions; Order of reactions; Rate**

**constant; First order reactions; Temperature dependence of rate constant**

**constant; First order reactions; Temperature dependence of rate constant**

**(Arrhenius equation).**

**(Arrhenius equation).**

**Solid state: Classification of solids, crystalline state, seven crystal**

**Solid state: Classification of solids, crystalline state, seven crystal**

**systems (cell parameters a, b, c, ?, ?, ?), close packed structure of solids**

**systems (cell parameters a, b, c, ?, ?, ?), close packed structure of solids**

**(cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii,**

**(cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii,**

**simple ionic compounds, point defects.**

**simple ionic compounds, point defects.**

**Solutions: Raoult’s law; Molecular weight determination from lowering of**

**Solutions: Raoult’s law; Molecular weight determination from lowering of**

**vapour pressure, elevation of boiling point and depression of freezing point.**

**vapour pressure, elevation of boiling point and depression of freezing point.**

**Surface chemistry: Elementary concepts of adsorption (excluding**

**Surface chemistry: Elementary concepts of adsorption (excluding**

**adsorption isotherms); Colloids: types, methods of preparation and general**

**adsorption isotherms); Colloids: types, methods of preparation and general**

**properties; Elementary ideas of emulsions, surfactants and micelles (only**

**properties; Elementary ideas of emulsions, surfactants and micelles (only**

**definitions and examples).**

**definitions and examples).**

**Nuclear chemistry**

**Nuclear chemistry**

**: Radioactivity: isotopes and isobars; Properties of ?, ?**

**: Radioactivity: isotopes and isobars; Properties of ?, ?**

**and ? rays; Kinetics of radioactive decay (decay series excluded), carbon**

**and ? rays; Kinetics of radioactive decay (decay series excluded), carbon**

**dating; Stability of nuclei with respect to proton-neutron ratio;**

**dating; Stability of nuclei with respect to proton-neutron ratio;**

**Brief **

**Brief**

**discussion**

**discussion**

** on fission and fusion reactions.**

**on fission and fusion reactions.**

**Inorganic Chemistry**

**Inorganic Chemistry**

**Isolation/preparation and properties of the following non-metals: Boron,**

**Isolation/preparation and properties of the following non-metals: Boron,**

**silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of**

**silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of**

**allotropes of carbon (only diamond and graphite), phosphorus and sulphur.**

**allotropes of carbon (only diamond and graphite), phosphorus and sulphur.**

**Preparation and properties of the following compounds: Oxides,**

**Preparation and properties of the following compounds: Oxides,**

**peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of**

**peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of**

**sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and**

**sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and**

**borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides**

**borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides**

**and oxyacid (carbonic acid); Silicon: silicones, silicates and silicon carbide;**

**and oxyacid (carbonic acid); Silicon: silicones, silicates and silicon carbide;**

**Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids**

**Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids**

**(phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and**

**(phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and**

**hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid,**

**hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid,**

**sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides**

**sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides**

**and oxyacids of chlorine, bleaching powder; Xenon fluorides.**

**and oxyacids of chlorine, bleaching powder; Xenon fluorides.**

**Transition elements (3d series): Definition, general characteristics,**

**Transition elements (3d series): Definition, general characteristics,**

**oxidation states and their stabilities, colour (excluding the details of**

**oxidation states and their stabilities, colour (excluding the details of**

**electronic transitions) and calculation of spin-only magnetic moment;**

**electronic transitions) and calculation of spin-only magnetic moment;**

**Coordination compounds: nomenclature of mononuclear coordination**

**Coordination compounds: nomenclature of mononuclear coordination**

**compounds, cis-trans and ionisation isomerisms, hybridization and**

**compounds, cis-trans and ionisation isomerisms, hybridization and**

**geometries of mononuclear coordination compounds (linear, tetrahedral,**

**geometries of mononuclear coordination compounds (linear, tetrahedral,**

**square planar and octahedral).**

**square planar and octahedral).**

**Preparation and properties of the following compounds: Oxides and**

**Preparation and properties of the following compounds: Oxides and**

**chlorides of tin and lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and**

**chlorides of tin and lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and**

**Zn2+; Potassium permanganate, potassium dichromate, silver oxide, silver**

**Zn2+; Potassium permanganate, potassium dichromate, silver oxide, silver**

**nitrate, silver thiosulphate.**

**nitrate, silver thiosulphate.**

**Ores and minerals: Commonly occurring ores and minerals of iron,**

**Ores and minerals: Commonly occurring ores and minerals of iron,**

**copper, tin, lead, magnesium, aluminium, zinc and silver.**

**copper, tin, lead, magnesium, aluminium, zinc and silver.**

**Extractive metallurgy: Chemical principles and reactions only (industrial**

**Extractive metallurgy: Chemical principles and reactions only (industrial**

**details excluded); Carbon reduction method (iron and tin); Self reduction**

**details excluded); Carbon reduction method (iron and tin); Self reduction**

**method (copper and lead); Electrolytic reduction method (magnesium and**

**method (copper and lead); Electrolytic reduction method (magnesium and**

**aluminium); Cyanide process (silver and gold).**

**aluminium); Cyanide process (silver and gold).**

**Principles of qualitative analysis: Groups I to V (only Ag+, Hg2+, Cu2+,**

**Principles of qualitative analysis: Groups I to V (only Ag+, Hg2+, Cu2+,**

**Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate,**

**Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate,**

**halides (excluding fluoride), sulphate and sulphide.**

**halides (excluding fluoride), sulphate and sulphide.**

**Organic Chemistry**

**Organic Chemistry**

**Concepts: Hybridisation of carbon; Sigma and pi-bonds; Shapes of simple**

**Concepts: Hybridisation of carbon; Sigma and pi-bonds; Shapes of simple**

**organic molecules; Structural and geometrical isomerism; Optical isomerism**

**organic molecules; Structural and geometrical isomerism; Optical isomerism**

**of compounds containing up to two asymmetric centres, (R,S and E,Z**

**of compounds containing up to two asymmetric centres, (R,S and E,Z**

**nomenclature excluded); IUPAC nomenclature of simple organic compounds**

**nomenclature excluded); IUPAC nomenclature of simple organic compounds**

**(only hydrocarbons, mono-functional and bi-functional compounds);**

**(only hydrocarbons, mono-functional and bi-functional compounds);**

**Conformations of ethane and butane (Newman projections); Resonance and**

**Conformations of ethane and butane (Newman projections); Resonance and**

**hyperconjugation; Keto-enol tautomerism; Determination of empirical and**

**hyperconjugation; Keto-enol tautomerism; Determination of empirical and**

**molecular formulae of simple compounds (only combustion method);**

**molecular formulae of simple compounds (only combustion method);**

**Hydrogen bonds: definition and their effects on physical properties of**

**Hydrogen bonds: definition and their effects on physical properties of**

**alcohols and carboxylic acids; Inductive and resonance effects on acidity and**

**alcohols and carboxylic acids; Inductive and resonance effects on acidity and**

**basicity of organic acids and bases; Polarity and inductive effects in alkyl**

**basicity of organic acids and bases; Polarity and inductive effects in alkyl**

**halides; Reactive intermediates produced during homolytic and heterolytic**

**halides; Reactive intermediates produced during homolytic and heterolytic**

**bond cleavage; Formation, structure and stability of carbocations, carbanions**

**bond cleavage; Formation, structure and stability of carbocations, carbanions**

**Preparation, properties and reactions of alkanes: Homologous series,**

**Preparation, properties and reactions of alkanes: Homologous series,**

**physical properties of alkanes (melting points, boiling points and density);**

**physical properties of alkanes (melting points, boiling points and density);**

**Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz**

**Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz**

**reaction and decarboxylation reactions.**

**reaction and decarboxylation reactions.**

**Preparation, properties and reactions of alkenes and alkynes: Physical**

**Preparation, properties and reactions of alkenes and alkynes: Physical**

**properties of alkenes and alkynes (boiling points, density and dipole**

**properties of alkenes and alkynes (boiling points, density and dipole**

**moments); Acidity of alkynes; Acid catalysed hydration of alkenes and**

**moments); Acidity of alkynes; Acid catalysed hydration of alkenes and**

**alkynes (excluding the stereochemistry of addition and elimination);**

**alkynes (excluding the stereochemistry of addition and elimination);**

**Reactions of alkenes with KMnO4 and ozone; Reduction of alkenes and**

**Reactions of alkenes with KMnO4 and ozone; Reduction of alkenes and**

**alkynes; Preparation of alkenes and alkynes by elimination reactions;**

**alkynes; Preparation of alkenes and alkynes by elimination reactions;**

**Electrophilic addition reactions of alkenes with X2, HX, HOX (X=halogen) and**

**Electrophilic addition reactions of alkenes with X2, HX, HOX (X=halogen) and**

**H2O; Addition reactions of alkynes; Metal acetylides.**

**H2O; Addition reactions of alkynes; Metal acetylides.**

**Reactions of benzene: Structure and aromaticity; Electrophilic substitution**

**Reactions of benzene: Structure and aromaticity; Electrophilic substitution**

**reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and**

**reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and**

**acylation; Effect of o-, m- and p-directing groups in monosubstituted**

**acylation; Effect of o-, m- and p-directing groups in monosubstituted**

**benzenes.**

**benzenes.**

**Phenols: Acidity, electrophilic substitution reactions (halogenation,**

**Phenols: Acidity, electrophilic substitution reactions (halogenation,**

**nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.**

**nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.**

**Characteristic reactions of the following (including those mentioned**

**Characteristic reactions of the following (including those mentioned**

**above): Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard**

**above): Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard**

**reactions, nucleophilic substitution reactions; Alcohols:**

**reactions, nucleophilic substitution reactions; Alcohols:**

**esterification, **

**esterification,**

**dehydration**

**dehydration**

** and oxidation, reaction with sodium, phosphorus**

**and oxidation, reaction with sodium, phosphorus**

**halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and**

**halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and**

**ketones; Ethers:Preparation by Williamson’s Synthesis; Aldehydes and**

**ketones; Ethers:Preparation by Williamson’s Synthesis; Aldehydes and**

**Ketones: oxidation, reduction, oxime and hydrazone formation; aldol**

**Ketones: oxidation, reduction, oxime and hydrazone formation; aldol**

**condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and**

**condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and**

**formation of esters, acid chlorides and amides, ester hydrolysis; Amines:**

**formation of esters, acid chlorides and amides, ester hydrolysis; Amines:**

**basicity of substituted anilines and aliphatic amines, preparation from nitro**

**basicity of substituted anilines and aliphatic amines, preparation from nitro**

**compounds, reaction with nitrous acid, azo coupling reaction of diazonium**

**compounds, reaction with nitrous acid, azo coupling reaction of diazonium**

**salts of aromatic amines, Sandmeyer and related reactions of diazonium**

**salts of aromatic amines, Sandmeyer and related reactions of diazonium**

**salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in**

**salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in**

**haloarenes and substituted haloarenes (excluding Benzyne mechanism and**

**haloarenes and substituted haloarenes (excluding Benzyne mechanism and**

**Cine substitution).**

**Cine substitution).**

**Carbohydrates: Classification; mono- and di-saccharides (glucose and**

**Carbohydrates: Classification; mono- and di-saccharides (glucose and**

**sucrose); Oxidation, reduction, glycoside formation and hydrolysis of**

**sucrose); Oxidation, reduction, glycoside formation and hydrolysis of**

**sucrose.**

**sucrose.**

**Amino acids and peptides: General structure (only primary structure for**

**Amino acids and peptides: General structure (only primary structure for**

**peptides) and physical properties.**

**peptides) and physical properties.**

**Properties and uses of some important polymers: Natural rubber,**

**Properties and uses of some important polymers: Natural rubber,**

**cellulose, nylon, teflon and PVC.**

**cellulose, nylon, teflon and PVC.**

**Practical organic chemistry: Detection of elements (N, S, halogens);**

**Practical organic chemistry: Detection of elements (N, S, halogens);**

**Detection and identification of the following functional groups: hydroxyl**

**Detection and identification of the following functional groups: hydroxyl**

**(alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino**

**(alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino**

**and nitro; Chemical methods of separation of mono-functional organic**

**and nitro; Chemical methods of separation of mono-functional organic**

**compounds from binary mixtures.**

**compounds from binary mixtures.**

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### Candidates should contact these institutes directly for

### additional information.

### General topics: Concept of atoms and molecules; Dalton’s

### atomic theory; Mole concept; Chemical formulae; Balanced

### chemical equations; Calculations (based on mole concept)

### involving common oxidation-reduction, neutralisation, and

### displacement reactions; Concentration in terms of mole fraction,

### molarity, molality and normality.

### Gaseous and liquid states: Absolute scale of temperature, ideal

### gas equation; Deviation from ideality, van der Waals equation;

### Kinetic theory of gases, average, root mean square and most

### probable velocities and their relation with temperature; Law of

### partial pressures; Vapour pressure; Diffusion of gases.

### Atomic structure and chemical bonding: Bohr model, spectrum

### of hydrogen atom, quantum numbers; Wave-particle duality, de

### Broglie hypothesis; Uncertainty principle; Qualitative quantum

### mechanical picture of hydrogen atom, shapes of s, p and d

### orbitals; Electronic configurations of elements (up to atomic

### number 36); Aufbau principle; Pauli’s exclusion principle and

### Hund’s rule; Orbital overlap and covalent bond; Hybridisation

### involving s, p and d orbitals only; Orbital energy diagrams for

### homonuclear diatomic species; Hydrogen bond; Polarity in

### molecules, dipole moment (qualitative aspects only); VSEPR

### model and shapes of molecules (linear, angular, triangular,

### square planar, pyramidal, square pyramidal,

### trigonalbipyramidal, tetrahedral and octahedral).

### Energetics: First law of thermodynamics; Internal energy, work

### and heat, pressure-volume work; Enthalpy, Hess’s law; Heat of

### reaction, fusion and vapourization; Second law of

### thermodynamics; Entropy; Free energy; Criterion of spontaneity.

### Chemical equilibrium:Law of mass action; Equilibrium

### constant, Le Chatelier’s principle (effect of concentration,

### temperature and pressure); Significance of ΔG and ΔG0 in

### chemical equilibrium; Solubility product, common ion effect,

### pH and buffer solutions; Acids and bases (Bronsted and Lewis

### concepts); Hydrolysis of salts.

### Electrochemistry: Electrochemical cells and cell reactions;

### Standard electrode potentials; Nernst equation and its relation to

### ΔG; Electrochemical series, emf of galvanic cells; Faraday’s

### laws of electrolysis; Electrolytic conductance, specific,

### equivalent and molar conductivity, Kohlrausch’s law;

### Concentration cells.

### Chemical kinetics: Rates of chemical reactions; Order of

### reactions; Rate constant; First order reactions; Temperature

### dependence of rate constant (Arrhenius equation).

### Solid state: Classification of solids, crystalline state, seven

### crystal systems (cell parameters a, b, c, α, β, γ), close packed

### structure of solids (cubic), packing in fcc, bcc and hcp lattices;

### Nearest neighbours, ionic radii, simple ionic compounds, point

### defects.

### Solutions: Raoult’s law; Molecular weight determination from

### lowering of vapour pressure, elevation of boiling point and

### depression of freezing point.

### Surface chemistry: Elementary concepts of adsorption

### (excluding adsorption isotherms); Colloids: types, methods of

### preparation and general properties; Elementary ideas of

### emulsions, surfactants and micelles (only definitions and

### examples).

### Nuclear chemistry: Radioactivity: isotopes and isobars;

### Properties of α, β and γ rays; Kinetics of radioactive decay

### (decay series excluded), carbon dating; Stability of nuclei with

### respect to proton-neutron ratio; Brief discussion on fission and

### fusion reactions.

**Inorganic Chemistry**

**Organic Che**

### Isolation/preparation and properties of the following

### non-metals: Boron, silicon, nitrogen, phosphorus, oxygen, sulphur

### and halogens; Properties of allotropes of carbon (only diamond

### and graphite), phosphorus and sulphur.

### Preparation and properties of the following compounds:

### Oxides, peroxides, hydroxides, carbonates, bicarbonates,

### chlorides and sulphates of sodium, potassium, magnesium and

### calcium; Boron: diborane, boric acid and borax; Aluminium:

### alumina, aluminium chloride and alums; Carbon: oxides and

### oxyacid (carbonic acid); Silicon: silicones, silicates and silicon

### carbide; Nitrogen: oxides, oxyacids and ammonia; Phosphorus:

### oxides, oxyacids (phosphorus acid, phosphoric acid) and

### phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur:

### hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and

### sodium thiosulphate; Halogens: hydrohalic acids, oxides and

### oxyacids of chlorine, bleaching powder; Xenon fluorides.

### Transition elements (3

* d series): Definition, general *

### characteristics, oxidation states and their stabilities, colour

### (excluding the details of electronic transitions) and calculation

### of spin-only magnetic moment; Coordination compounds:

*nomenclature of mononuclear coordination compounds, *

*cis-trans and ionisation isomerisms, hybridization and geometries *

### of mononuclear coordination compounds (linear, tetrahedral,

### square planar and octahedral).

### Preparation and properties of the following compounds:

### Oxides and chlorides of tin and lead; Oxides, chlorides and

### sulphates of Fe2+, Cu2+ and Zn2+; Potassium permanganate,

### potassium dichromate, silver oxide, silver nitrate, silver

### thiosulphate.

### Ores and minerals: Commonly occurring ores and minerals

### of iron, copper, tin, lead, magnesium, aluminium, zinc and

### silver.

### Extractive metallurgy: Chemical principles and reactions

### only (industrial details excluded); Carbon reduction method

### (iron and tin); Self reduction method (copper and lead);

### Electrolytic reduction method (magnesium and aluminium);

### Cyanide process (silver and gold).

### Principles of qualitative analysis: Groups I to V (only Ag+,

### Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+,

### Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride),

### sulphate and sulphide.

**Organic Chemistry**

**MATHEMATICS**

**Algebra**

**Trigonometry**

**Analytical geometry**

**Differential calculus**

**Integral calculus**

**Vectors**

**PHYSICS**

**General**

**Mechanics**

**Thermal physics**

**Electricity and magnetism**

**Optics**

**Modern physics**

**ARCHITECTURE APTITUDE TEST**

**Freehand drawing**

**Geometrical drawing**

**Three-dim**

### Concepts: Hybridisation of carbon; σ and π-bonds; Shapes of

### simple organic molecules; Structural and geometrical

### isomerism; Optical isomerism of compounds containing up to

### two asymmetric centres, (R,S and E,Z nomenclature excluded);

### IUPAC nomenclature of simple organic compounds (only

### hydrocarbons, mono-functional and bi-functional compounds);

### Conformations of ethane and butane (Newman projections);

### Resonance and hyperconjugation; Keto-enoltautomerism;

### Determination of empirical and molecular formulae of simple

### compounds (only combustion method); Hydrogen bonds:

### definition and their effects on physical properties of alcohols

### and carboxylic acids; Inductive and resonance effects on acidity

### and basicity of organic acids and bases; Polarity and inductive

### effects in alkyl halides; Reactive intermediates produced during

### homolytic and heterolytic bond cleavage; Formation, structure

### and stability of carbocations, carbanions and free radicals.

### Preparation, properties and reactions of alkanes:

### Homologous series, physical properties of alkanes (melting

### points, boiling points and density); Combustion and

### halogenation of alkanes; Preparation of alkanes by Wurtz

### reaction and decarboxylation reactions.

### Preparation, properties and reactions of alkenes and alkynes:

### Physical properties of alkenes and alkynes (boiling points,

### density and dipole moments); Acidity of alkynes; Acid catalysed

### hydration of alkenes and alkynes (excluding the stereochemistry

### of addition and elimination); Reactions of alkenes with KMnO4

### and ozone; Reduction of alkenes and alkynes; Preparation of

### alkenes and alkynes by elimination reactions; Electrophilic

### addition reactions of alkenes with X2, HX, HOX and H2O

### (X=halogen); Addition reactions of alkynes; Metal acetylides.

### Reactions of benzene: Structure and aromaticity;

### Electrophilic substitution reactions: halogenation, nitration,

### sulphonation, Friedel-Crafts alkylation and acylation; Effect of

### o-, m- and p-directing groups in monosubstituted benzenes.

### Phenols: Acidity, electrophilic substitution reactions

### (halogenation, nitration and sulphonation); Reimer-Tieman

### reaction, Kolbe reaction.

### Characteristic reactions of the following (including those

### mentioned above): Alkyl halides: rearrangement reactions of

### alkyl carbocation, Grignard reactions, nucleophilic substitution

### reactions; Alcohols: esterification, dehydration and oxidation,

### reaction with sodium, phosphorus halides, ZnCl2/concentrated

### HCl, conversion of alcohols into aldehydes and ketones; Ethers:

### Preparation by Williamson’s Synthesis; Aldehydes and

### Ketones: oxidation, reduction, oxime and hydrazone formation;

### aldol condensation, Perkin reaction; Cannizzaro reaction;

### haloform reaction and nucleophilic addition reactions (Grignard

### addition); Carboxylic acids: formation of esters, acid chlorides

### and amides, ester hydrolysis; Amines: basicity of substituted

### anilines and aliphatic amines, preparation from nitro

### compounds, reaction with nitrous acid, azo coupling reaction of

### diazonium salts of aromatic amines, Sandmeyer and related

### reactions of diazonium salts; carbylamine reaction; Haloarenes:

### nucleophilic aromatic substitution in haloarenes and substituted

### haloarenes (excluding Benzyne mechanism and Cine

### substitution).

### Carbohydrates: Classification; mono- and di-saccharides

### (glucose and sucrose); Oxidation, reduction, glycoside

### formation and hydrolysis of sucrose.

### Amino acids and peptides: General structure (only primary

### structure for peptides) and physical properties.

### Properties and uses of some important polymers: Natural

### rubber, cellulose, nylon, teflon and PVC.

### Practical organic chemistry: Detection of elements (N, S,

### halogens); Detection and identification of the following

### functional groups: hydroxyl (alcoholic and phenolic), carbonyl

### (aldehyde and ketone), carboxyl, amino and nitro; Chemical

### methods of separation of mono-functional organic compounds

### from binary mixtures.

**MATHEMATICS**

**Algebra**

**Trigonometry**

**Analytical geometry**

**Differential calculus**

**Integral calculus**

**Vectors**

**PHYSICS**

**General**

**Mechanics**

**Thermal physics**

**Electricity and magnetism**

**Optics**

**Modern physics**

**ARCHITECTURE APTITUDE TEST**

**Freehand drawing**

**Geometrical drawing**

**Three-dimensional perception**

**Imagination**

### 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, 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.

### 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**

**Differential calculus**

**Integral calculus**

**Vectors**

**PHYSICS**

**General**

**Mechanics**

**Thermal physics**

**Electricity and magnetism**

**Optics**

**Modern physics**

**ARCHITECTURE APTITUDE TEST**

**Freehan**

### 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).

**Analytical**

### 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.

### 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, Rolle’s

### Theorem and Lagrange’s Mean Value Theorem.

**Integral calculus**

**Vectors**

**PHYSICS**

**General**

**Mechanics**

### ntegration as the inverse process of differentiation,

### 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.

**Addition of vectors, scalar multiplication, dot and**

**Addition of vectors, scalar multiplication, dot and**

**cross products, scalar triple products and their**

**cross products, scalar triple products and their**

**geometrical interpretations.**

**geometrical interpretations.**

### 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

### Verniercalipers 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\

### Kinematics in one and two dimensions (Cartesian

### coordinates only), projectiles; Uniform Circular motion;

### 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; Escape velocity.

### 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).

**Thermal physics**

**Electricity and magn**

### 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’s 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.

**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 p**

### 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.

### \\

### Atomic nucleus; α, β and γ 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

**ARCHITECTURE APTITUDE TEST**

**Freehan**

### O.P. Tandon - physical chamastry

### P.Bahadur(G.R.Bathla & Sons) - numerical chamastry

### Bruce H. Mahan - university camestry

### R.C. Mukharjee - numerical chemistry

### P.Bahadur (For Reading Theory) - physical chemistry

### P.W.Atkins - physical chemistry

### Ebbing - general chemistry

### O.P Agarwal - iit jee chemistry

### NCERT - chemistry x, xii

### O.P. Tandon - Organic Chemistry

### Paula Bruice Yurkanis - Organic Chemistry

### Organic Chemistry by MORRISON & BOYD - Organic

### Chemistry

### Arihant Prakashan - Organic Chemistry

### Solomons - Organic Chemistry

### I. L. Finar - Organic Chemistry Volume 1

### Bahal & Bahal - Organic Chemistry

### Peter Skyes - Organic Chemistry

### J.D March - Organic Chemistry

### M. S. Chauhan - Concept of Organic Chemistry

### NCERT - Chemistry XI & XII

### Arihant Prakashan - Inorganic Chemistry

### O.P. Tandon - Inorganic Chemistry

### J.D.Lee - Concise Inorganic Chemistry

### J.D. Lee - Inorganic Chemistry

### H.C.Verma - Concepts of Physica Vol I and II

### I.E. Irodov - Problems in General Physics

### Halliday, Resnick & Walker - Fundamentals of Physics

### By Halliday, Resnick & Walke - Fundamentals of Physics

### H C Verma - Concept of Physics Volume 1 & Volume 2

### Krotov - Aptitude Test Problems in Physics

### Nelkon and Parker - Advance physics

### S.L. Loney - Dynamics of a Particle & of Rigid Bodies

### I. E. Irodov - Problems in General Physics

### V. Zubov & V. Shalnov - Problem in Physics

### A. A Pinsky - Problems in physics

### V. Zubov & V. Shalnov - Problem in physics

### S. L Loney - Elements of Dynamics Part I & II

### Tipler - Physics Vols I & II

### R. P. Feynman - Feynman Lectures on Physics

### R. P. Feynman - The Feynman Lectures on Physics vols 1 & 2

### L. A. Sena - A collection of questions and Problems in Physics

**Contact **

### Details:-Indian Institute of Technology

### Adi Shankaracharya Marg,

### Powai, Mumbai

### Maharashtra 400076

### 022 2572 2545

**Map **

### Location:-book passwd

### web http://iitjeebooksfree.blogspot.in

### formulaiit 0

### atkin phy che

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### Online registration starts: May 2, 2015 Exam date:

### May 24, 2015 Result: June 18, 2015

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