JEE Advanced Syllabus 2025: Comprehensive Guide by SPM & LALAN Coaching
If you are preparing for JEE Advanced, we understand that you may have concerns about the intense competition and the vast, challenging syllabus that requires extensive preparation. At SPM & LALAN Coaching, we believe that understanding the syllabus is the first step toward success. In this article, we provide a detailed breakdown of the JEE Advanced syllabus, along with expert tips and resources to help you excel.
Overview of JEE Advanced Syllabus
The JEE Advanced syllabus is expertly crafted to challenge and enhance your knowledge and problem-solving skills in Physics, Chemistry, and Mathematics. By encompassing key concepts from both Class 11 and Class 12 NCERT textbooks, it guarantees not only a solid grasp of fundamental principles but also the ability to tackle complex problems with confidence. Embrace this opportunity to excel and secure your future in engineering!
CHEMISTRY
| Topic | Subtopics |
| General Topics | Concept of atoms and molecules, Dalton’s atomic theory, Mole concept, Chemical formulae, Balanced chemical equations, Calculations (mole concept, stoichiometry), Concentration (mole fraction, molarity, molality, normality) |
| States of Matter: Gases and Liquids | Gas laws and ideal gas equation, Absolute scale of temperature, Deviation from ideality, Van der Waals equation, Kinetic theory of gases, Diffusion of gases, Intermolecular interactions, Liquids (vapor pressure, surface tension, viscosity) |
| Atomic Structure | Bohr model, Spectrum of the hydrogen atom, Wave-particle duality, de Broglie hypothesis, Uncertainty principle, Quantum mechanical picture of the hydrogen atom, Quantum numbers, Orbitals (s, p, d), Aufbau principle, Pauli’s exclusion principle, Hund’s rule |
| Chemical Bonding and Molecular Structure | Orbital overlap and covalent bond, Hybridisation (s, p, d orbitals), Molecular orbital energy diagrams, Hydrogen bond, Polarity in molecules, VSEPR model, and molecular shapes (linear, angular, etc.) |
| Chemical Thermodynamics | Intensive and extensive properties, First and second laws, Internal energy, Enthalpy, Heat capacity, Hess’s law, Entropy, Gibbs energy, Equilibrium and spontaneity |
| Chemical and Ionic Equilibrium | Law of mass action, Equilibrium constant, Le Chatelier’s principle, Solubility product, Common ion effect, pH, Buffer solutions, Acids and bases (Brønsted and Lewis), Hydrolysis of salts |
| Electrochemistry | Electrochemical cells, Standard electrode potentials, Nernst equation, Electrochemical series, Faraday’s laws of electrolysis, Electrolytic conductance, Batteries, Corrosion |
| Chemical Kinetics | Rates of chemical reactions, Order and molecularity, Rate law, Half-life, Arrhenius equation, Catalysis (homogeneous, heterogeneous) |
| Solid State | Classification of solids, Crystalline state, Crystal systems, Close packed structure, Ionic radii, Point defects |
| Solutions | Henry’s law, Raoult’s law, Colligative properties (vapor pressure, boiling point elevation, etc.), van’t Hoff factor |
| Surface Chemistry | Adsorption, Physisorption, Chemisorption, Freundlich adsorption isotherm, Colloids, Emulsions, Surfactants, Micelles |
| Classification of Elements | Modern periodic law, Periodic trends (atomic radius, ionization enthalpy, electronegativity, etc.) |
| Hydrogen | Position in the periodic table, Occurrence, Isotopes, Properties, Uses, Hydrides, Hydrogen as fuel |
| s-Block Elements | Alkali and alkaline earth metals, Reactivity, Reducing nature, Properties of compounds (Na, Ca, etc.) |
| p-Block Elements | Trends in reactivity, Anomalous properties of groups 13-17, Compounds of boron, carbon, nitrogen, oxygen, halogens |
| d-Block Elements | Oxidation states, Electrode potentials, Alloys, Catalytic properties, Oxoanions of chromium and manganese |
| f-Block Elements | Lanthanoid and actinoid contractions, Oxidation states, General characteristics |
| Coordination Compounds | Werner’s theory, Nomenclature, Hybridization, Geometries, Bonding theories (VBT, CFT), Magnetic properties, Stability, Metal carbonyls |
| Isolation of Metals | Extraction from ores (thermodynamic, electrochemical principles), Cyanide process, Refining |
| Principles of Qualitative Analysis | Groups I-V, Identification of ions (Ag+, Hg2+, Fe3+, etc.), Tests for anions (nitrates, sulfates, etc.) |
| Environmental Chemistry | Atmospheric, Water, Soil pollution, Strategies for pollution control, Green chemistry |
| Basic Principles of Organic Chemistry | Hybridization of carbon, Bonding, Isomerism (structural, geometrical), IUPAC nomenclature, Reactive intermediates (carbocations, free radicals) |
| Alkanes | Properties, Preparation, Reactions (combustion, halogenation) |
| Alkenes and Alkynes | Properties, Preparation, Electrophilic addition reactions, Reduction, Polymerization |
| Benzene | Structure, Electrophilic substitution reactions (halogenation, nitration, Friedel-Crafts) |
| Phenols | Properties, Reactions (halogenation, nitration, esterification, oxidation) |
| Alkyl Halides | Reactions (Grignard, nucleophilic substitution, stereochemistry) |
| Alcohols | Properties, Reactions (esterification, dehydration, oxidation) |
| Ethers | Preparation (Williamson’s synthesis), Reactions (C-O bond cleavage) |
| Aldehydes and Ketones | Preparation, Reactions (oxidation, reduction, Aldol condensation, Cannizzaro reaction) |
| Carboxylic Acids | Properties, Preparation, Reactions (reduction, halogenation, ester formation) |
| Amines | Preparation, Reactions (Hoffmann bromamide degradation, Sandmeyer reactions) |
| Haloarenes | Reactions (Fittig, Wurtz-Fittig, nucleophilic aromatic substitution) |
| Biomolecules | Carbohydrates (classification, monosaccharides, disaccharides), Proteins (amino acids, peptides), Nucleic acids (DNA, RNA) |
| Polymers | Types of polymerization, Natural rubber, Cellulose, Nylon, Teflon, Bio-degradable polymers |
| Chemistry in Everyday Life | Drug-target interaction, Therapeutic drugs (antacids, antihistamines, etc.), Soaps, detergents, artificial sweeteners |
MATHEMATICS
| Topic | Sub-topic |
| Sets, Relations, and Functions | Sets and their representations, types (empty, finite, infinite), algebra of sets (union, intersection, complement, difference, symmetric difference), De-Morgan’s laws, and practical problems. Cartesian product of finite sets, ordered pair, relations (domain, codomain, equivalence relation). Functions: domain, codomain, range, invertible functions, even/odd functions, into/onto functions, one-to-one functions, special functions (polynomial, trigonometric, exponential, logarithmic, etc.), operations on functions (sum, difference, product, composition). |
| Algebra | Complex numbers: addition, multiplication, conjugation, polar representation, properties of modulus/principal argument, triangle inequality, cube roots of unity, geometric interpretations. Fundamental theorem of algebra, quadratic equations (roots and coefficients), symmetric functions of roots.Progressions (arithmetic, geometric), sums of series, properties of logarithms, permutations, combinations, binomial theorem. |
| Matrices | Definition, equality, operations (addition, scalar multiplication, product), transpose, elementary transformations, determinant (order ≤ 3), adjoint, inverse (order ≤ 3), properties, diagonal/symmetric/skew-symmetric matrices.Solution of simultaneous linear equations (2-3 variables). |
| Probability and Statistics | Random experiments, sample space, events (impossible, simple, compound), rules of probability (addition, multiplication, conditional), independence of events, Bayes Theorem, probability computation using permutations/combinations.Central tendency/dispersion: mean, median, mode, mean deviation, variance, standard deviation (grouped/ungrouped data). Random variable (mean, variance). |
| Trigonometry | Trigonometric functions (periodicity, graphs), addition/subtraction formulae, multiple/sub-multiple angle formulae, general solution of trigonometric equations. Inverse trigonometric functions (principal value), properties. |
| Analytical Geometry | Two dimensions: Cartesian coordinates, distance, section formulae, equation of a line (various forms), angles between lines, distances (point-line), concurrency, triangle centers (centroid, orthocenter, etc.), circle equations (various forms, tangents, normals, chords). Parabola, ellipse, hyperbola equations (standard forms, parameters, tangents, normals). Locus problems. Three dimensions: Distance, direction cosines/ratios, equation of a line/plane, shortest distance, angles (line-line, plane-plane, line-plane), and coplanar lines. |
| Differential Calculus | Limits, continuity (sum, product, quotient of functions, composite functions), L’Hospital’s rule, intermediate value property. Derivatives (sum, product, quotient, chain rule), functions (polynomial, rational, trigonometric, exponential, logarithmic). Tangents/normals, increasing/decreasing functions, second-order derivatives, maxima/minima, Rolle’s theorem, Lagrange’s mean value theorem. Implicit function derivatives. |
| Integral Calculus | Indefinite integrals (inverse of differentiation, standard functions), definite integrals (limit of sums, properties, fundamental theorem), methods (substitution, partial fractions, parts).Applications: areas bounded by curves, ordinary differential equations (formation, solutions: homogeneous, separation of variables, linear first order). |
| Vectors | operations (addition, scalar multiplication, dot/cross products), scalar/vector triple products, and geometrical interpretations. |
PHYSICS
| Topic | Subtopics |
| General | Units and dimensions, error analysis, experiments: Vernier calipers, screw gauge, simple pendulum, Young’s modulus, surface tension, specific heat, focal length, speed of sound, Ohm’s law, specific resistance. |
| Mechanics | Kinematics, projectiles, circular motion, relative velocity, Newton’s laws, work-energy theorem, conservation of momentum, collisions, rotational dynamics, SHM, gravitation, Kepler’s laws, fluid mechanics, surface tension, viscosity, Bernoulli’s theorem, wave motion, Doppler effect. |
| Thermal Physics | Thermal expansion, calorimetry, heat transfer, Newton’s law of cooling, ideal gases, laws of thermodynamics, Carnot engine, blackbody radiation, Kirchhoff’s law, Wien’s displacement law, Stefan’s law. |
| Electricity and Magnetism | Characteristics, electromagnetic spectrum, applications of radio, microwave, infrared, visible, ultraviolet, x-rays, gamma rays. |
| Optics | Reflection, refraction, TIR, dispersion, lenses, magnification, wave optics (Young’s experiment, single slit diffraction), polarization, Brewster’s law, Polaroids. |
| Modern Physics | Atomic nucleus, radioactive decay, binding energy, fission, fusion, photoelectric effect, Bohr’s model, X-rays, Moseley’s law, de Broglie waves. |
Why Choose SPM & Lalans Coaching in Guwahati?
- Proven Track Record: SPM & Lalans Coaching has consistently produced top JEE Advanced rankers in Guwahati, making it a preferred choice for engineering aspirants.
- Comprehensive Curriculum: The institute systematically covers the entire JEE Advanced syllabus, focusing on both theory and application.
- Individual Mentorship: SPM & Lalan Coaching provides personalized mentoring, helping students overcome specific challenges and excel in their preparation.
- State-of-the-Art Infrastructure: With well-equipped classrooms, labs, and digital learning aids, SPM & Lalan Coaching offers a conducive environment for learning.
- Affordable Fee Structure: SPM & Lalans Coaching provides quality education at competitive fees, making it accessible to students from diverse backgrounds.
- Fully Residential Campus for Students: The campus offers separate and safe living spaces for boys and girls, providing a comfortable environment for study and discipline. Modern facilities ensure students can focus on academics while also enjoying recreational activities.
- Schooling and Coaching Together: In the integrated school system, regular classes and JEE Advanced coaching are conducted under one roof, enabling students to manage their studies and preparation efficiently without needing extra coaching.
CONCLUSION
Preparing for the JEE Advanced exam is essential to get admission to the top engineering colleges in India. By adopting a structured approach, staying consistent, and seeking guidance from reputable institutes like SPM & Lalans Coaching in Guwahati, students can greatly improve their chances of success.
Although the journey may be challenging, determination and a strong support system make it possible to crack the JEE Advanced exam. SPM & Lalans Coaching is committed to providing students with the necessary tools and guidance to excel. Take the first step today to embark on the path to a successful engineering career.