IIT-JEE Preparation, Syllabus & Solutions Library | Total Educational Solutions (TES)

Examination Structure

Understanding IIT-JEE: Main & Advanced

The Joint Entrance Examination (JEE) evaluates students across conceptual grasp, application speed, and multi-disciplinary analytical problem-solving.

Stage 1

JEE Main (NTA)

Administered twice yearly (January & April sessions) by the National Testing Agency. Gateway to NITs, IIITs, CFTIs, and the sole eligibility filter for JEE Advanced.

Total Marks: 300 (75 Questions: 20 MCQs + 5 Numerical per subject).

Marking Scheme: +4 for correct responses, -1 for incorrect responses.

Subjects: Physics, Chemistry, and Mathematics (Equal 100-mark weightage).

Stage 2

JEE Advanced (IITs)

Organized by rotating zonal IITs for the top ~2.5 lakh qualifiers of JEE Main. Gateway to all 23 Indian Institutes of Technology (IITs).

Structure: Mandatory two 3-hour papers (Paper 1 & Paper 2) on the same day.

Problem Variety: Multiple correct options, paragraph comprehension, and matrix matching.

Evaluation: Strict partial marking demanding deep multi-concept synthesis.

Official Examination Curriculum

Complete IIT-JEE Subject-Wise Syllabus

Curriculum mapped to the latest revised NTA JEE Main and JEE Advanced specifications across Mathematics, Physics, and Chemistry.

Unit 1 & 2

Sets, Relations & Functions

Sets and their algebraic properties, power sets.
Relations, equivalence relations, domain and range.
One-one, into, and onto functions, composite functions.

Unit 3 & 4

Complex Numbers & Quadratics

Representation of complex numbers, modulus and argument.
Triangle inequality, quadratic equations in real & complex systems.
Relations between roots and coefficients, nature of roots.

Unit 5 & 6

Matrices & Determinants

Algebra of matrices, types of matrices, adjoint & inverse.
Determinants of order 2 and 3, properties & consistency.
Solutions of linear equations (Cramer's Rule & matrix method).

Unit 7 & 8

Combinatorics & Binomial

Fundamental principle of counting, permutations and combinations.
Binomial theorem for positive integral index, general term.
Properties of binomial coefficients and simple applications.

Unit 9 & 10

Calculus (Differential & Integral)

Limits, continuity, differentiability, Rolle's & Mean Value Theorems.
Applications of derivatives: maxima, minima, tangents and normals.
Indefinite & definite integrals, fundamental theorems, area under curves.
First-order differential equations and linear differential forms.

Unit 11 to 14

Vectors, 3D & Probability

Coordinate geometry: Straight lines, circles, parabola, ellipse, hyperbola.
Vectors and 3D: Dot/cross products, skew lines, directional cosines.
Probability: Conditional probability, Bayes' theorem, statistics variance.
Trigonometry: Identities, trigonometric equations, inverse functions.

Section I

Mechanics & Motion

Units and measurements, dimensional analysis, error propagation.
Kinematics in 1D and 2D, projectile and circular motion.
Newton's Laws of Motion, static & kinetic friction, impulse.
Work, energy, power, conservation of linear momentum, collisions.

Section II

Rotational & Gravitation

Center of mass, torque, angular momentum and its conservation.
Moment of inertia of simple geometrical objects, rolling motion.
Kepler's laws, gravitational potential & field, orbital velocity.

Section III

Matter & Thermodynamics

Elasticity, Hooke's Law, surface tension, viscosity, Bernoulli's theorem.
Zeroth, First & Second Laws of Thermodynamics, Carnot engines.
Kinetic theory of gases, RMS speeds, degrees of freedom.

Section IV

Electrodynamics & Magnetism

Coulomb's Law, Gauss's Law, electric potential, capacitors & dielectrics.
Current electricity, Ohm's Law, Kirchhoff's laws, potentiometer & bridge.
Biot-Savart Law, Ampere's Law, Lorentz force, magnetic dipole moment.
Electromagnetic induction, Faraday's & Lenz's law, AC circuits, resonance.

Section V

Optics, Waves & Modern Physics

Wave optics: Young's double slit interference, diffraction.
Ray optics: Reflection, refraction, lenses, prisms, optical instruments.
Dual nature of radiation, photoelectric effect, de Broglie wavelength.
Bohr model, nuclear fission/fusion, radioactive decay laws.

Section VI

Semiconductors & Experiments

Semiconductors: p-n junction diode, I-V characteristics, logic gates.
Experimental skills: Vernier callipers, screw gauge, meter bridge.
Galvanometer conversion into ammeter & voltmeter, focal length tests.

Physical Chemistry

Basic Concepts & Atomic Structure

Mole concept, stoichiometry, balancing redox reactions.
Bohr's model, de Broglie relationship, Heisenberg uncertainty, quantum numbers.
Chemical bonding: VSEPR, hybridization, Molecular Orbital Theory (MOT).

Physical Chemistry

Equilibrium, Thermo & Kinetics

First & Second laws of thermodynamics, enthalpy, entropy, Gibbs free energy.
Chemical & ionic equilibrium, Le Chatelier's principle, pH, buffers, Ksp.
Solutions: Raoult's law, colligative properties, van 't Hoff factor.
Electrochemistry: Nernst equation, Kohlrausch's law, conductance.
Chemical kinetics: Rate laws, half-life, Arrhenius activation energy.

Inorganic Chemistry

Periodic Trends & Elements

Periodic table: Atomic radii, ionization energy, electron affinity, electronegativity.
p-Block elements: Group 13 to 18 electronic configurations and trends.
d- and f-Block elements: Transition metals, oxidation states, lanthanoids.
Coordination compounds: IUPAC naming, Werner's theory, CFT, magnetic moments.

Organic Chemistry

General Organic & Hydrocarbons

Purification & qualitative analysis of organic compounds.
Electronic effects: Inductive, electromeric, resonance, hyperconjugation.
Isomerism: Structural and stereoisomerism (geometrical & optical).
Alkanes, alkenes, alkynes: Electrophilic addition, Markovnikov's rule, ozonolysis.
Aromatic hydrocarbons: Electrophilic aromatic substitution, Huckel rule.

Organic Chemistry

Functional Groups & Biomolecules

Haloalkanes & haloarenes: SN1 and SN2 substitution mechanisms.
Alcohols, phenols, ethers: Reimer-Tiemann, Kolbe reaction, Lucas test.
Aldehydes & ketones: Nucleophilic addition, Aldol, Cannizzaro, Tollens' test.
Carboxylic acids and amines: Hoffmann degradation, carbylamine test, diazonium salts.
Biomolecules: Carbohydrates, amino acids, peptide bonds, DNA/RNA bases.

Practical Chemistry

Principles of Practical Chemistry

Detection of functional groups: Hydroxyl, carbonyl, carboxyl, and amino groups.
Titrimetric exercises: Oxalic acid vs KMnO4, Mohr's salt vs KMnO4.
Qualitative salt analysis: Cations (Pb2+, Cu2+, Al3+, Fe3+, Zn2+) & anions.
Thermochemical experiments: Enthalpy of neutralization, lyophilic sols.

Academic Methodology

Structured Preparation Architecture

Systematic five-phase curriculum crafted by Total Educational Solutions (TES) to transition learners from foundational principles to advanced problem-solving.

First-Principles Theory

Zero-compromise conceptual clarity in Physics derivations, reaction kinetics/mechanisms in Chemistry, and rigorous mathematical proofs.

Hierarchical Problem Sets

Graded progression from NCERT textbook level to high-difficulty JEE Main standard, culminating in multi-concept JEE Advanced problems.

Computer Based Test (CBT) Series

Full-syllabus and chapter-wise mock simulations matching official NTA and IIT user interfaces, instilling pacing discipline and examination stamina.

Error & Speed Diagnostics

Systematic post-test analytics isolating negative marking patterns, calculation pitfalls, time allocation traps, and conceptual blind spots.

Dedicated Doubt Resolution

One-on-one personalized problem clearing sessions preventing backlogs and reinforcing alternative short-cut derivation strategies.

Formula & Synthesis Mindmaps

Concise hand-curated formula sheets, named organic reactions compendia, and coordinate geometry reference cards for rapid revision.

IIT-JEE Curriculum & Solved Papers

PCM Syllabi & 2-Year Shift Solutions