The JEE advanced exam is fast approaching. The exam is considered one of the most challenging entrance exams in India. One of the main reasons for this is that the JEE advanced syllabus is vast and wide. Many students find the enormity of the syllabus very overwhelming. But rest assured if you manage your time correctly, the syllabus can be covered entirely. Let us take a look at the detailed JEE advanced syllabus.

01 | Syllabus of Maths |

02 | Syllabus of Physics |

03 | Syllabus of General Chemistry |

04 | Syllabus of Organic Chemistry |

**JEE Advanced Syllabus – Maths**

Given below is a comprehensive list of all the topics in the Maths syllabus of the JEE advanced exam. Before you start studying a detailed analysis of the topics will be very helpful.

Algebra |
● Complex Numbers
1. Algebra of complex numbers (including addition, multiplication and conjugation) 2. properties of Modulas, Polar Representation 3. Triangle Inequality, cube root of unity 4. Geometric representation of complex numbers ● Quadratic 1. Quadratic equations with co-efficients 2. Forming quadratic equations with roots given 3. Relation between roots and co-efficients 4. Symmetrical functions of roots ● Sequence and Series 1. Arithmetic, harmonic and geometric progression 2. Arithmetic, harmonic and geometric means 3. Sum of finite series 4. Sum of squares and cubes of n natural numbers ● Permutations and Combinations ● Binomial Theory 1. Binomial theorem for positive integral 2. Properties of Binomial Co-efficient ● Matrices and Determinants 1. Equality of Matrices 2. Addition and Multiplication by scalar 3. Transpose of a matrix 4. Determination and Inverse of a matrix upto order of three 5. Properties of Matrix operations 6. Simultaneous linear equations ● Probability 1. Addition and Multiplication 2. Conditional probability 3. Bayes Theorem |

Trigonometry |
● Functions of Trigonometry
● Formula with multiple and sub-multiple angels ● General solutions of trigonometry equations ● Sine Rule ● Cosine rule ● Half angle formula and area of triangle ● Inverse Trigonometric Function |

Analytical Geometry |
● 2D Cartesian coordinates, distance between two points, section formulas
● Equation of a straight line (various forms) ● Equation of a Circle (in various forms) ● Parametric Equations of a circle, intersection of circle and straight line etc ● Equations of parabola, hyperbola, ellipse, tangent and normal ● Locus ● 3D – Direct cosines and ratios, equations os straight line in space, equation of a plane |

Differential Calculus |
● Real valued functions of Differential calculus
● Sum, product, quotient and difference of two functions ● Composite functions, polynomial, rational, trigonometric, exponential and logarithmic functions and absolute value ● Even and Odd functions, inverse function, composite functions ● Limit and continuity of a function ● Limit and continuity of product, quotient and difference of functions ● L’hospital rule ● Derivative of a function ● Chain rule, derivatives of polynomials, rational, inverse, trigonometric, exponential and log functions ● Derivatives up to order of 2, derivatives of implicit functions ● Rolle’s Theorem and Lagrange’s Mean Value Theorem |

Integral Calculus |
● Integration as the inverse process of differentiation
● Indefinite integrals ● properties of Definite integrals ● Integration by parts, substitution and partial fractions ● Application of definite integrals ● Determining areas of involving simple curves ● Formation of differential equations ● Linear first order differential equation ● Homogeneous differential equations |

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**JEE Advanced Syllabus – Physics**

Now let us take a look at the detailed syllabus of Physics.

General Physics |
● Dimensional Analysis and units and dimensions
● Experiments based on Vernier calipers ● Using simple pendulum the determination of ‘g’ ● Young’s modulus by Searles method ● Speed of sound using resonance column ● verification of Ohm’s Law |

Mechanics |
● Kinematics in one dimension
● Kinematics in two dimensions ● Uniform circular motion and relative velocity ● Newton’s Law of motion and uniformly accelerated frames of reference ● Kinetic and potential energy ● Static and dynamic friction ● Work and Power ● Linear momentum into mechanical energy ● Gravitational Potential and field ● Acceleration due to gravity ● Motion of planets and satellites ● escape velocity ● Harmonic Motions ● Pascal’s Law (buoyancy) ● Surface energy and surface tension ● Stoke’s Law, Streamline flow, the equation of continuity, Bernoulli’s theorem ● Wave Motion, superposition of waves ● Progressive and stationary waves ● Vibration of string and air columns ● Doppler effect |

Thermal Physics |
● Thermal expansion in states of matter (solid, liquid, gas)
● Calorimetry, latent heat ● Heat conduction in one dimension ● Newton’s law of cooling ● Ideal Gas Law ● Specific heats , Isotherm and adiabatic processes, bulk modulus of gas ● First law of thermodynamics and its applications in the world ● Blackbody radiation, Kirchhoff’s, Wien’s and Stefan’s law |

Electricity and Magnateism |
● Coulomb’s law; Electric field and potential
● Electric field lines and the Flux of the electric field ● Gauss Law and some of its applications ● Capacitance, Parallel plate capacitor ● Capacitors in series and parallel arrangement ● Energy stored in a capacitor ● Electric current and Ohm’s law ● Simple applications of Kirchhoff’s laws ● Ampere’s law and Savart’s law ● Magnetic field near a current carrying wire ● Force on a moving charge on a current-carrying wire in a uniform magnetic field ● Magnetic movement of a current loop ● Galvanometer, voltmeter and ammeter ● Electromagnetic induction ● Farady Law and Lenz Law |

Optics |
● Propagation of light -rectilinear
● Reflection and Refraction – plane surfaces, spherical surfaces, total internal reflection ● Prism – deviation and dispersion of light ● Thin lenses, magnification ● Huygen’s principle ● Young’s double-slit experiment |

Modern Physics |
● Atomic nuclei, α, β and γ radiation, radioactive decay
● Decay Constant, half-life and mean-life, binding energy, ● Fission and fusion ● Bohr’s theory, continuous X-rays ● Moseley’s law |

**JEE Advanced Syllabus – General Chemistry**

General Chemistry |
● Atoms and Molecules
● Dalton’s atomic theory ● Mole concept ● chemical formulas and balancing chemical equations ● Calculations of basic reactions of oxidation, neutralization, displacement |

Gaseous and Liquid State |
● Ideal gas equation
● Van der Waals Equation ● Kinetic theory of gases, average, root mean square and probable velocities and their relation with temperature ● Diffusion of gasses ● Law of partial pressures ● Vapor pressure |

Atomic Structure and Chemical Bonding |
● Bohr model, hydrogen atom, quantum numbers
● uncertainty principle ● de Broglie hypothesis ● Electronic configuration of elements to 36 ● Orbital overlap and covalent bond ● Pauli’s exclusion principle and Hund’s Rule ● Hydrogen bond – dipole molecule ● Hybridization involving s, p and d orbitals only ● Orbital energy diagrams ● VSEPR model and shapes of molecules |

Energetics |
● First law of thermodynamics
● Internal energy ● Enthalpy, Hess’s law ● Fusion, vaporization, heat of reaction ● Second Law of Thermodynamics ● Entropy and Free energy ● Criterion of spontaneity |

Chemical Equilibrium |
● Equilibrium constant, law of mass action, Le Chatelier’s principle
● Significance of Delta G, solubility product, common ion effect and buffer solutions ● Acids, bases, hydrolysis of salts |

Electrochemistry |
● Electrochemical cells and their reactions
● Electrochemical series, emf of galvanic cells ● Standard electrode potential ● Nerst Equation ● Faraday’s Law ● Concentration cells |

Chemical Kinetics |
● Rate and order of reactions
● rate constant ● Arrhenius equation |

The Solid State |
● Classification of solids, seven crystal systems, packing of structured solids, lattices
● Nearest neighbor, ionic radius, simple ionic compounds, point defects |

Solutions |
● Molecular weight determination from lowering of vapor pressure, elevation of boiling point and depression of freezing point
● Raoult’s law |

Surface Chemistry |
● Adsorption
● Colloids – types, preparation and properties ● Elementary ideas of emulsions, surfactants, micelles |

Nuclear Chemistry |
● Isotopes and isobars
● Radioactivity ● Properties of α, β, γ rays ● Radioactive decay ● Fission and fusion reactions (in brief) |

** JEE Advanced Syllabus – Organic Chemistry**

Concepts |
● Hybridisation of carbon
● Simple organic molecules ● Structural and geometrical isomerism ● Optical isomerism of compounds containing up to 2 asymmetric centers ● Nomenclature of simple organic compounds ● Newman projections – ethane and butane ● Keto-enoltautomerism ● empirical and molecular formulae of simple compounds ● Hydrogen bonds ● Polarity and inductive effects in alkyl halides ● Formation, structure and stability of carbocations and free radicals |

Alkanes |
● Homologous series
● Physical properties ● halogenation of alkanes ● Preparation by Wurtz reaction |

Alkenes and Alkynes |
● Physical properties
● Acidity of alkynes ● Acid catalysed hydration of alkenes and alkynes ● Reactions of alkenes with Potassium Permanganate and ozone ● Preparation of alkenes and alkynes ● Addition reactions of alkynes ● Metal acetylides |

Reactions of Benzene |
● Structure
● Aromaticity ● Electrophilic substitution reactions: halogenation, nitration, sulphonation ● Friedel-Crafts alkylation and acylation |

Phenols |
● Acidity
● electrophilic substitution reaction ● Reimer-Tieman reaction, Kolbe reaction |

Carbohydrates |
● Classification- mono and di saccharine
● Oxidation and reduction ● glycoside formation |

Amino Acids and Peptides |
● General structure and physical properties |

Polymers |
● Natural rubber
● nylon ● cellulose ● PVC and teflon |

Practical Organic Chemistry |
● Detection of N, S halogens
● Chemical methods of separation of mono-functional organic compounds from binary mixtures. ● Detection of hydroxyl, carbonyl, carboxyl, amino and nitro |