Exam Level 
Graduation 
Exam Format 
Objective 
Conducted Body 
NTA 
Frequency of Exam 
Twice a Year 
Exam Category 
University Level Exam 
Mode of Payment 
Online & Offline 
Mode of Exam 
Online 
Language 
English 
JEE Main syllabus is Approved by CBSE, the JEE Main Exam 1st syllabus contains Physics, Chemistry, and Maths of classes 11th and 12th and contains a total of 90 questions of 4 marks each. Exam 2nd syllabus contains a total of 82 questions marking plan.
As per NTA, JEE Mains Exam 1st and Exam 2nd syllabus is the same as previous years and is to be set separately. The Exam pattern distribution is a little different and to get an idea of the marking structure and Exam pattern participants can easily practice the previous year's papers and Sample Papers of JEE Main.
Physics, Mathematics, and Chemistry contain onethird of 1st Exam. The Exam paper contains both types of numerical and theorybased questions. Here is a division of the topics of Chemistry syllabus
JEE Main Exam 1st contain 1/3rd part of Chemistry, Physics, and Maths. Participants have to face and solve theory based and numerical questions. Participants can view previous year and sample papers online to get Idea of the exam.
The topics in chemistry syllabus are
Necessary topics 
Expected weight age 
Carbohydrates, Amino Acids, and Polymers 
7% 
Chemical Bonding 
6% 
Atomic Structure 
5% 
General Organic Chemistry 
6% 
Periodic Table and Representative elements 
6% 
Transition Elements & Coordination Chemistry 
9% 
Topic 
Percentage of a question asked 
General Organic Chemistry 
9 
Alcohol Phenol Ether 
7 
Redox reactions 
6 
Chemical Bonding 
5 
Coordination Compound 
5 
Pblock elements 
5 
Sblock elements 
5 
Aldehyde & Ketones 
5 
Solutions 
5 
Solid State 
5 
Chemical Thermodynamics 
5 
Ionic Equilibrium 
3 
Chemical Equilibrium 
3 
Surface chemistry 
3 
Atomic Structure 
2 
Gaseous State 
2 
Transition Elements 
2 
Polymers 
2 
Nuclear Chemistry 
2 
Chemical Kinetics 
2 
Mole Concepts 
2 
Amines and Diazonium Salts 
2 
Biomolecules 
2 
Alkenes, Alkenes & Alkynes 
2 
Electrochemistry 
2 
Necessary topics 
Important weightage 
Heat and Thermodynamics 
11% 
Optics 
11% 
Modern Physics 
10% 
Electrostatics 
8% 
Current and Electricity 
7% 
Waves 
5% 
Topic 
No. of questions 
Sets, Relations and Functions 
1 
Complex Numbers and Quadratic Equations 
3 
Trigonometry 
2 
Permutations and Combinations 
1 
Mathematical Induction 
1 
Differential Equations 
1 
Sequences and Series 
2 
Limit, Continuity and Differentiability 
1 
Integral Calculus 
3 
Binomial Theorem and its simple applications 
1 
CoOrdinate Geometry 
5 
Three Dimensional Geometry 
3 
Vector Algebra 
1 
Mathematical Reasoning 
1 
Statistics and Probability 
2 
Matrices and Determinants 
2 
B.Arch Syllabus for JEE Main
Participants who want admission in B.Arch can give 2nd Exam. The exam timing is 3 hrs and conducted offline.
It contains three sections.
Part 1: Mathematics 30 Questions
Part 2: Aptitude Test 50 Questions
Part 3: Drawing Test 2 Questions
SYLLABUS for JEE (Main)2025
Syllabus for Paper1 (B.E./B.Tech.) Mathematics, Physics, and Chemistry
JEE Main Mathematics syllabus for Paper1, B.E/B. Tech given below;
Unit 
Topic 
Details 
UNIT 1 
SETS, RELATIONS, AND FUNCTIONS 
Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; oneone, into and onto functions, the composition of functions. 
UNIT 2 
COMPLEX NUMBERS AND QUADRATIC EQUATIONS 
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and coefficient, nature of roots, the formation of quadratic equations with given roots. 
UNIT 3 
MATRICES AND DETERMINANTS 
Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. 
UNIT 4 
PERMUTATIONS AND COMBINATIONS 
The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications 
UNIT 5 
BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS 
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications 
UNIT 6 
SEQUENCE AND SERIES 
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. ArithmeticoGeometric progression. 
UNIT 7 
LIMIT, CONTINUITY, AND DIFFERENTIABILITY 
Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange's Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonicIncreasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal. 
UNIT 8 
INTEGRAL CALCULAS 
Integral as an antiderivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithms functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities. Evaluation of simple integrals of the type
Integral as limit of a sum. The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form 
UNIT 9 
DIFFRENTIAL EQUATIONS 
Ordinary differential equations, their order, and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type 
UNIT 10 
COORDINATE GEOMETRY 
Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axis. Straight line Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, equations of internal and external by sectors of angles between two lines coordinate of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines. Circle, conic sections A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent, sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for Y = mx +c to be a tangent and point (s) of tangency. 
UNIT 11 
THREE DIMENSIONAL GEOMETRY 
Coordinates of a point in space, the distance between two points, section formula, directions ratios, and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines 
UNIT 12 
VECTOR ALGEBRA 
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product. 
UNIT 13 
STATISTICS AND PROBABILITY 
Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials, and binomial distribution. 
UNIT 14 
TRIGONOMETRY 
Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, and their properties, heights, and distance. 
JEE Main Physics syllabus for Paper1, B.E/B. Tech given below;
UNIT 
Topics 
Details 
UNIT 1 
PHYSICS AND MEASUREMENT 
Physics, technology, and society, S I Units, fundamental and derived units, least count, accuracy and precision of measuring instruments, Errors in measurement, Dimensions of Physics quantities, dimensional analysis, and its applications. 
UNIT 2 
KINEMATICS 
The frame of reference, motion in a straight line, Position time graph, speed and velocity; Uniform and nonuniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocitytime, positiontime graph, relations for uniformly accelerated motion, Scalars and Vectors, Vector. Addition and subtraction, zero vector, scalar and vector products, Unit Vector, Resolution of a Vector. Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion. 
UNIT 3 
LAWS OF MOTION 
Force and inertia, Newton’s First law of motion; Momentum, Newton’s Second Law of motion, Impulses; Newton’s Third Law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion: centripetal force and its applications 
UNIT 4 
WORK, ENERGY, AND POWER 
Work done by a content force and a variable force; kinetic and potential energies, workenergy theorem, power. The potential energy of spring conservation of mechanical energy, conservative and neoconservative forces; Elastic and inelastic collisions in one and two dimensions. 
UNIT 5 
ROTATIONAL MOTION 
Centre of the mass of a twoparticle system, Centre of the mass of a rigid body; Basic concepts of rotational motion; a moment of a force; torque, angular momentum, conservation of angular momentum and its applications; the moment of inertia, the radius of gyration. Values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems, and their applications. Rigid body rotation equations of rotational motion. 
UNIT 6 
GRAVITATION 
The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Kepler’s law of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity, Orbital velocity of a satellite. Geo stationary satellites. 
UNIT 7 
PROPERTIES OF SOLIDS AND LIQUIDS 
Elastic behaviour, Stressstrain relationship, Hooke's Law. Young's modulus, bulk modulus, modulus of rigidity. Pressure due to a fluid column; Pascal's law and its applications. Viscosity. Stokes' law. terminal velocity, streamline, and turbulent flow. Reynolds number. Bernoulli's principle and its applications. Surface energy and surface tension, angle of contact, application of surface tension  drops, bubbles, and capillary rise. Heat, temperature, thermal expansion; specific heat capacity, calorimetry; change of state, latent heat. Heat transferconduction, convection, and radiation. Newton's law of cooling. 
UNIT 8 
THERMODYNAMICS 
Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature. Heat, work, and internal energy. The first law of thermodynamics. The second law of thermodynamics: reversible and irreversible processes. Carnot engine and its efficiency. 
UNIT 9 
KINETIC THEORY OF GASES 
Equation of state of a perfect gas, work done on compressing a gas, Kinetic theory of gases  assumptions, the concept of pressure. Kinetic energy and temperature: RMS speed of gas molecules: Degrees of freedom. Law of equipartition of energy, applications to specific heat capacities of gases; Mean free path. Avogadro's number. 
UNIT 10 
OSCILLATIONS AND WAVES 
Periodic motion  period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase: oscillations of a spring restoring force and force constant: energy in S.H.M.  Kinetic and potential energies; Simple pendulum  derivation of expression for its time period: Free, forced and damped oscillations, resonance. Wave motion. Longitudinal and transverse waves, speed of a wave. Displacement relation for a progressive wave. Principle of superposition of waves, a reflection of waves. Standing waves in strings and organ pipes, fundamental mode and harmonics. Beats. Doppler Effect in sound 
UNIT 11 
ELECTROSTATICS 
Electric charges: Conservation of charge. Coulomb's law forces between two point charges, forces between multiple charges: superposition principle and continuous charge distribution. Electric field: Electric field due to a point charge, Electric field lines. Electric dipole, Electric field due to a dipole. Torque on a dipole in a uniform electric field. Electric flux. Gauss's law and its applications to find field due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet, and uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, electric dipole and system of charges; Equipotential surfaces, Electrical potential energy of a system of two point charges in an electrostatic field. Conductors and insulators. Dielectrics and electric polarization, capacitor, the combination of capacitors in series and parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates. Energy stored in a capacitor. 
UNIT 12 
CURRENT ELECTRICITY 
Electric current. Drift velocity. Ohm's law. Electrical resistance. Resistances of different materials. Vl characteristics of Ohmic and nonohmic conductors. Electrical energy and power. Electrical resistivity. Colour code for resistors; Series and parallel combinations of resistors; Temperature dependence of resistance. Electric Cell and its Internal resistance, potential difference and emf of a cell, a combination of cells in series and parallel. Kirchhoff’s laws and their applications. Wheatstone bridge. Metre Bridge. Potentiometer  principle and its applications. 
UNIT 13 
MAGNETIC EFFECTS OF CURRENT AND MAGNETISM 
Biot  Savart law and its application to current carrying circular loop. Ampere's law and its applications to infinitely long current carrying straight wire and solenoid. Force on a moving charge in uniform magnetic and electric fields. Cyclotron. Force on a currentcarrying conductor in a uniform magnetic field. The force between two parallel currents carrying conductorsdefinition of ampere. Torque experienced by a current loop in a uniform magnetic field: Moving coil galvanometer, its current sensitivity, and conversion to ammeter and voltmeter. Current loop as a magnetic dipole and its magnetic dipole moment. Bar magnet as an equivalent solenoid, magnetic field lines; Earth's magnetic field and magnetic elements. Para, dia and ferromagnetic substances. Magnetic susceptibility and permeability. Hysteresis. Electromagnets and permanent magnets. 
UNIT 14 
ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS 
Electromagnetic induction: Faraday's law. Induced emf and current: Lenz’s Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and RMS value of alternating current/ voltage: reactance and impedance: LCR series circuit, resonance: Quality factor, power in AC circuits, wattless current. AC generator and transformer. 
UNIT 15 
ELECTROMAGNETIC WAVES 
Electromagnetic waves and their characteristics, Transverse nature of electromagnetic waves, Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet. Xrays. Gamma rays), Applications of e.m. waves. 
UNIT 16 
OPTICS 
Reflection and refraction of light at plane and spherical surfaces, mirror formula. Total internal reflection and its applications. Deviation and Dispersion of light by a; prism; Lens Formula. Magnification. Power of a Lens. Combination of thin lenses in contact. Microscope and Astronomical Telescope (reflecting and refracting ) and their magnifying powers. Wave optics: wavefront and Huygens' principle. Laws of reflection and refraction using Huygens principle. Interference, Young's doubleslit experiment and expression for fringe width, coherent sources, and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes. Polarization, planepolarized light: Brewster's law, uses of planepolarized light and Polaroid 
UNIT 17 
DUAL NATURE OF MATTER AND RADIATION 
Dual nature of radiation. Photoelectric effect. Hertz and Lenard's observations; Einstein's photoelectric equation: particle nature of light. Matter waveswave nature of particle, de Broglie relation. DavissonGermer experiment. 
UNIT 18 
ATOMS AND NUCLEI 
Alphaparticle scattering experiment; Rutherford's model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars: isotones. Radioactivity alpha. beta and gamma particles/rays and their properties; radioactive decay law. Massenergy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission, and fusion. 
UNIT 19 
ELECTRONIC DEVICES 
Semiconductors; semiconductor diode: 1V characteristics in forward and reverse bias; diode as a rectifier; IV characteristics of LED. the photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor: transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR. AND. NOT. NAND and NOR). Transistor as a switch. 
UNIT 20 
EXPERIMENTAL SKILLS 
Familiarity with the basic approach and observations of the experiments and activities: 1. Vernier calipersits use to measure the internal and external diameter and depth of a vessel. 2. Screw gaugeits use to determine thickness/ diameter of thin sheet/wire. 3. Simple Pendulumdissipation of energy by plotting a graph between the square of amplitude and time. 4. Metre Scale  the mass of a given object by the principle of moments. 5. Young's modulus of elasticity of the material of a metallic wire. 6. Surf ace tension of water by capillary rise and effect of detergents, 7. Coefficient of Viscosity of a given viscous liquid by measuring terminal velocity of a given spherical body, 8. Plotting a cooling curve for the relationship between the temperature of a hot body and time. 9. Speed of sound in air at room temperature using a resonance tube, 10. Specific heat capacity of a given (i) solid and (ii) liquid by method of mixtures. 11. The resistivity of the material of a given wire using a metre bridge. 12. The resistance of a given wire using Ohm's law. 13. Potentiometer i. Comparison of emf of two primary cells. ii. Determination of internal resistance of a cell. 14. Resistance and figure of merit of a galvanometer by half deflection method. 15. The focal length of; (i) Convex mirror (ii) Concave mirror, and (ii) Convex lens, using the parallax method. 16. The plot of the angle of deviation vs angle of incidence for a triangular prism. 17. Refractive index of a glass slab using a travelling microscope. 18. Characteristic curves of a pn junction diode in forward and reverse bias. 19. Characteristic curves of a Zener diode and finding reverse break down voltage. 20. Characteristic curves of a transistor and finding current gain and voltage gain. 21. Identification of Diode. LED, Transistor. IC. Resistor. A capacitor from a mixed collection of such items. 22. Using a multimeter to: (i) Identify the base of a transistor (ii) Distinguish between NPN and PNP type transistor (iii) See the unidirectional current in case of a diode and an LED. (iv) Check the correctness or otherwise of a given electronic component (diode, transistor, or IC). 
JEE Main Chemistry syllabus for Paper1, B.E/B. Tech given below;
UNIT 
Topic 
Details 
PHYSICAL CHEMISTRY 

UNIT 1 
SOME BASIC CONCEPTS IN CHEMISTRY 
Matter and its nature, Dalton's atomic theory: Concept of atom, molecule, element, and compound: Physical quantities and their measurements in Chemistry, precision, and accuracy, significant figures. S.I.Units, dimensional analysis: Laws of chemical combination; Atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae: Chemical equations and stoichiometry 
UNIT 2 
ATOMIC STRUCTURE 
Thomson and Rutherford atomic models and their limitations; Nature of electromagnetic radiation, photoelectric effect; Spectrum of the hydrogen atom. Bohr model of a hydrogen atom  its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr's model; Dual nature of matter, de Broglie's relationship. Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanics, the quantum mechanical model of the atom, its important features. Concept of atomic orbitals as oneelectron wave functions: Variation of Y and Y2 with r for 1s and 2s orbitals; various quantum numbers (principal, angular momentum, and magnetic quantum numbers) and their significance; shapes of s, p, and d  orbitals, electron spin and spin quantum number: Rules for filling electrons in orbitals – Aufbau principle. Pauli's exclusion principle and Hund's rule, electronic configuration of elements, extra stability of halffilled and completely filled orbitals. 
UNIT 3 
CHEMICAL BONDING AND MOLECULAR STRUCTURE 
Kossel  Lewis approach to chemical bond formation, the concept of ionic and covalent bonds. Ionic Bonding: Formation of ionic bonds, factors affecting the formation of ionic bonds; calculation of lattice enthalpy. Covalent Bonding: Concept of electronegativity. Fajan’s rule, dipole moment: Valence Shell Electron Pair Repulsion (VSEPR ) theory and shapes of simple molecules. Quantum mechanical approach to covalent bonding: Valence bond theory  its important features, the concept of hybridization involving s, p, and d orbitals; Resonance. Molecular Orbital Theory  Its important features. LCAOs, types of molecular orbitals (bonding, antibonding), sigma and pibonds, molecular orbital electronic configurations of homonuclear diatomic molecules, the concept of bond order, bond length, and bond energy. Elementary idea of metallic bonding. Hydrogen bonding and its applications. 
UNIT 4 
CHEMICAL THERMODYNAMICS 
Fundamentals of thermodynamics: System and surroundings, extensive and intensive properties, state functions, types of processes. The first law of thermodynamics  Concept of work, heat internal energy and enthalpy, heat capacity, molar heat capacity; Hess’s law of constant heat summation; Enthalpies of bond dissociation, combustion, formation, atomization, sublimation, phase transition, hydration, ionization, and solution. The second law of thermodynamics  Spontaneity of processes; DS of the universe and DG of the system as criteria for spontaneity. DG° (Standard Gibbs energy change) and equilibrium constant. 
UNIT 5 
SOLUTIONS 
Different methods for expressing the concentration of solution  molality, molarity, mole fraction, percentage (by volume and mass both), the vapour pressure of solutions and Raoult's Law  Ideal and nonideal solutions, vapour pressure  composition, plots for ideal and nonideal solutions; Colligative properties of dilute solutions  a relative lowering of vapour pressure, depression of freezing point, the elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, van’t Hoff factor and its significance. 
UNIT 6 
EQUILIBRIUM 
Meaning of equilibrium, the concept of dynamic equilibrium. Equilibria involving physical processes: Solidliquid, liquid  gas and solidgas equilibria, Henry's law. General characteristics of equilibrium involving physical processes. Equilibrium involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, the significance of DG and DG° in chemical equilibrium, factors affecting equilibrium concentration, pressure, temperature, the effect of catalyst; Le Chatelier’s principle. Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius. Bronsted  Lowry and Lewis) and their ionization, acidbase, equilibria (including multistage ionization) and ionization constants, ionization of water. pH scale, common ion effect, hydrolysis of salts and pH of their solutions, the solubility of sparingly soluble salts and solubility products, buffer solutions. 
UNIT 7 
REDOX REACTIONS AND ELECTROCHEMISTRY 
Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, balancing of redox reactions. Electrolytic and metallic conduction, conductance in electrolytic solutions, molar conductivities and their variation with concentration: Kohlrausch’s law and its applications. Electrochemical cells  Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half  cell and cell reactions, emf of a Galvanic cell and its measurement: Nernst equation and its applications; Relationship between cell potential and Gibbs' energy change: Dry cell and lead accumulator; Fuel cells 
UNIT 8 
CHEMICAL KINETICS 
Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure, and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and firstorder reactions, their characteristics and halflives, the effect of temperature on the rate of reactions, Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation). 
INORGANIC CHEMISTRY 

UNIT 9 
CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES 
Modem periodic law and present form of the periodic table, s, p. d and f block elements, periodic trends in properties of elements atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity. 
UNIT 10 
P BLOCK ELEMENTS 
Group 13 to Group 18 Elements General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups; unique behaviour of the first element in each group. Group wise study of the p  block elements Group 13 Preparation, properties, and uses of boron and aluminum; Structure, properties, and uses of borax, boric acid, diborane, boron trifluoride, aluminum chloride, and alums. Group 14 The tendency for catenation; Structure, properties, and uses of Allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites, and silicones. Group 15 Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure, and uses of ammonia, nitric acid, phosphine, and phosphorus halides, (PCl3. PCl5); Structures of oxides and oxoacids of nitrogen and phosphorus. Group 16 Preparation, properties, structures, and uses of ozone: Allotropic forms of sulphur; Preparation, properties, structures, and uses of sulphuric acid (including its industrial preparation); Structures of oxoacids of sulphur. Group17 Preparation, properties, and uses of hydrochloric acid; Trends in the acidic nature of hydrogen halides; Structures of Interhalogen compounds and oxides and oxoacids of halogens. Group18 Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon. 
UNIT 11 
d  and f BLOCK ELEMENTS 
Transition Elements General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the firstrow transition elements  physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties, and uses of K2Cr2O7, and KMnO4. Inner Transition Elements Lanthanoids  Electronic configuration, oxidation states, and lanthanoid contraction. Actinoids  Electronic configuration and oxidation states. 
UNIT 12 
COORDINATION COMPOUNDS 
Introduction to coordination compounds. Werner's theory; ligands, coordination number, denticity. chelation; IUPAC nomenclature of mononuclear coordination compounds, isomerism; BondingValence bond approach and basic ideas of Crystal field theory, colour and magnetic properties; Importance of coordination compounds (in qualitative analysis, extraction of metals and in biological systems). 
ORGANIC CHEMISTRY 

UNIT 13 
PURIFICATION AND CHARACTERISATION OF ORGANIC COMPOUNDS 
Purification  Crystallization, sublimation, distillation, differential extraction, and chromatography  principles and their applications. Qualitative analysis  Detection of nitrogen, sulphur, phosphorus, and halogens. Quantitative analysis (basic principles only)  Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus. Calculations of empirical formulae and molecular formulae: Numerical problems in organic quantitative analysis, 
UNIT 14 
SOME BASIC PRINCIPLES OF ORGANIC CHEMISTRY 
Tetravalency of carbon: Shapes of simple molecules  hybridization (s and p): Classification of organic compounds based on functional groups: and those containing halogens, oxygen, nitrogen, and sulphur; Homologous series: Isomerism  structural and stereoisomerism. Nomenclature (Trivial and IUPAC) Covalent bond fission  Homolytic and heterolytic: free radicals, carbocations, and carbanions; stability of carbocations and free radicals, electrophiles, and nucleophiles. Electronic displacement in a covalent bond  Inductive effect, electromeric effect, resonance, and hyperconjugation. Common types of organic reactions Substitution, addition, elimination, and rearrangement. 
UNIT 15 
HYDROCARBONS 
Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties, and reactions. Alkanes  Conformations: Sawhorse and Newman projections (of ethane): Mechanism of halogenation of alkanes. Alkenes  Geometrical isomerism: Mechanism of electrophilic addition: addition of hydrogen, halogens, water, hydrogen halides (Markownikoffs and peroxide effect): Ozonolysis and polymerization. Alkynes  Acidic character: Addition of hydrogen, halogens, water, and hydrogen halides: Polymerization. Aromatic hydrocarbons  Nomenclature, benzene  structure and aromaticity: Mechanism of electrophilic substitution: halogenation, nitration. Friedel  Craft's alkylation and acylation, directive influence of the functional group in monosubstituted benzene. 
UNIT 16 
ORGANIC COMPOUNDS CONTAINING HALOGENS 
General methods of preparation, properties, and reactions; Nature of CX bond; Mechanisms of substitution reactions. Uses; Environmental effects of chloroform, iodoform freons, and DDT. 
UNIT 17 
ORGANIC COMPOUNDS CONTAINING OXYGEN 
General methods of preparation, properties, reactions, and uses. ALCOHOLS, PHENOLS, AND ETHERS Alcohols: Identification of primary, secondary, and tertiary alcohols: mechanism of dehydration. Phenols: Acidic nature, electrophilic substitution reactions: halogenation. nitration and sulphonation. Reimer  Tiemann reaction. Ethers: Structure. Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as  Nucleophilic addition reactions (addition of HCN. NH3, and its derivatives), Grignard reagent; oxidation: reduction (Wolf Kishner and Clemmensen); the acidity of ahydrogen. aldol condensation, Cannizzaro reaction. Haloform reaction, Chemical tests to distinguish between aldehydes and Ketones. Carboxylic Acids Acidic strength and factors affecting it, 
UNIT 18 
ORGANIC COMPOUNDS CONTAINING NITROGEN 
General methods of preparation. Properties, reactions, and uses. Amines: Nomenclature, classification structure, basic character, and identification of primary, secondary, and tertiary amines and their basic character. Diazonium Salts: Importance in synthetic organic chemistry 
UNIT 19 
BIOMOLECULES 
General introduction and importance of biomolecules. CARBOHYDRATES  Classification; aldoses and ketoses: monosaccharides (glucose and fructose) and constituent monosaccharides of oligosaccharides (sucrose, lactose, and maltose). PROTEINS  Elementary Idea of aamino acids, peptide bond, polypeptides. Proteins: primary, secondary, tertiary, and quaternary structure (qualitative idea only), denaturation of proteins, enzymes. VITAMINS – Classification and functions. NUCLEIC ACIDS – Chemical constitution of DNA and RNA. Biological functions of nucleic acids. 
UNIT 20 
PRINCIPLES RELATED TO PRACTICAL CHEMISTRY 
Detection of extra elements (Nitrogen, Sulphur, halogens) in organic compounds; Detection of the following functional groups; hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketones) carboxyl, and amino groups in organic compounds. The chemistry involved in the preparation of the following: Inorganic compounds; Mohr’s salt, potash alum. Organic compounds: Acetanilide, pnitro acetanilide, aniline yellow, iodoform. The chemistry involved in the titrimetric exercises – Acids, bases and the use of indicators, oxalicacid vs KMnO4, Mohr’s salt vs KMnO4 Chemical principles involved in the qualitative salt analysis:
Chemical principles involved in the following experiments: 1. Enthalpy of solution of CuSO4 2. Enthalpy of neutralization of strong acid and strong base. 3. Preparation of lyophilic and lyophobic sols. 4. Kinetic study of the reaction of iodide ions with hydrogen peroxide at room temperature. 
Mathematics Syllabus for Paper 2A (B.Arch)
Unit 
Topic 
Details 
UNIT 1 
SETS, RELATIONS, AND FUNCTIONS 
Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; oneone, into and onto functions, the composition of functions. 
UNIT 2 
COMPLEX NUMBERS AND QUADRATIC EQUATIONS 
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and coefficient, nature of roots, the formation of quadratic equations with given roots. 
UNIT 3 
MATRICES AND DETERMINANTS 
Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. 
UNIT 4 
PERMUTATIONS AND COMBINATIONS 
The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications 
UNIT 5 
BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS 
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications 
UNIT 6 
SEQUENCE AND SERIES 
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. ArithmeticoGeometric progression. 
UNIT 7 
LIMIT, CONTINUITY, AND DIFFERENTIABILITY 
Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange's Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonicIncreasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal. 
UNIT 8 
INTEGRAL CALCULAS 
Integral as an antiderivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithms functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities. Evaluation of simple integrals of the type
Integral as limit of a sum. The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form 
UNIT 9 
DIFFRENTIAL EQUATIONS 
Ordinary differential equations, their order, and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type 
UNIT 10 
COORDINATE GEOMETRY 
Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axis. Straight line Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, equations of internal and external by sectors of angles between two lines coordinate of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines. Circle, conic sections A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent, sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for Y = mx +c to be a tangent and point (s) of tangency. 
UNIT 11 
THREE DIMENSIONAL GEOMETRY 
Coordinates of a point in space, the distance between two points, section formula, directions ratios, and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines 
UNIT 12 
VECTOR ALGEBRA 
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product. 
UNIT 13 
STATISTICS AND PROBABILITY 
Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials, and binomial distribution. 
UNIT 14 
TRIGONOMETRY 
Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, and their properties, heights, and distance. 
Part –II APTITUDE TEST 

UNIT 1 
Awareness of persons. Buildings, Materials. Objects, Texture related to Architecture and BuildenvirounmentVisusalising threedimensional objects from twodimensional drawings. Visualizing. Different sides of threedimensional objects. Analytical Reasoning Mental Ability (Visual. Numerical and Verbal) 

UNIT 2 
Three dimensional perception: Understanding and appreciation of scale and proportions of objects, building forms and elements, colour texture harmony and contrast Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms both 2D and 3D union, subtraction rotation, development of surfaces and volumes, Generation of plans, elevations, and 3D views of objects, Creating twodimensional and threedimensional compositions using given shapes and forms. 

Part – III DRAWING TEST 

UNIT 1 
Sketching of scenes and activities from memory of urbanscape (public space, market, festivals, street scenes, monuments, recreational spaces, etc). landscape (riverfronts. Jungle. Gardens, trees. Plants, etc.) and rural life. To be conducted in a Drawing sheet. Note: Candidates are advised to bring pencils. Own geometry box set, crasets and colour pencils, and crayons for the Drawing Test. 
Mathematics Syllabus for Paper 2B (B.Planning)
Unit 
Topic 
Details 
UNIT 1 
SETS, RELATIONS, AND FUNCTIONS 
Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; oneone, into and onto functions, the composition of functions. 
UNIT 2 
COMPLEX NUMBERS AND QUADRATIC EQUATIONS 
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and coefficient, nature of roots, the formation of quadratic equations with given roots. 
UNIT 3 
MATRICES AND DETERMINANTS 
Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. 
UNIT 4 
PERMUTATIONS AND COMBINATIONS 
The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications 
UNIT 5 
BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS 
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications 
UNIT 6 
SEQUENCE AND SERIES 
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. ArithmeticoGeometric progression. 
UNIT 7 
LIMIT, CONTINUITY, AND DIFFERENTIABILITY 
Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange's Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonicIncreasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal. 
UNIT 8 
INTEGRAL CALCULAS 
Integral as an antiderivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithms functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities. Evaluation of simple integrals of the type
Integral as limit of a sum. The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form 
UNIT 9 
DIFFRENTIAL EQUATIONS 
Ordinary differential equations, their order, and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type 
UNIT 10 
COORDINATE GEOMETRY 
Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axis. Straight line Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, equations of internal and external by sectors of angles between two lines coordinate of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines. Circle, conic sections A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent, sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for Y = mx +c to be a tangent and point (s) of tangency. 
UNIT 11 
THREE DIMENSIONAL GEOMETRY 
Coordinates of a point in space, the distance between two points, section formula, directions ratios, and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines 
UNIT 12 
VECTOR ALGEBRA 
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product. 
UNIT 13 
STATISTICS AND PROBABILITY 
Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials, and binomial distribution. 
UNIT 14 
TRIGONOMETRY 
Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, and their properties, heights, and distance. 
APTITUDE TEST 

UNIT 1 
Awareness of persons. Buildings, Materials. Objects, Texture related to Architecture and BuildenvirounmentVisusalising threedimensional objects from twodimensional drawings. Visualizing. Different sides of threedimensional objects. Analytical Reasoning Mental Ability (Visual. Numerical and Verbal) 

UNIT 2 
Three dimensional perception: Understanding and appreciation of scale and proportions of objects, building forms and elements, colour texture harmony and contrast Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms both 2D and 3D union, subtraction rotation, development of surfaces and volumes, Generation of Plan, elevations and 3D views of objects, Creating twodimensional and threedimensional compositions using given shapes and forms. 

PLANNING  
UNIT 1 
GENERAL AWARENESS 
General knowledge questions and knowledge about prominent cities, development issues, government programs, etc. 
UNIT 2 
SOCIAL SCIENCES 
The idea of nationalism, nationalism in India, premodern world, 19thcentury global economy, colonialism, and colonial cities, industrialization, resources, and development, types of resources, agriculture, water, mineral resources, industries, national economy; Human Settlements Powersharing, federalism, political parties, democracy, the constitution of India Economic development economic sectors, globalization, the concept of development, poverty; Population structure, social exclusion, and inequality, urbanization, rural development, colonial cities, 
UNIT 3 
THINKING SKILLS 
Comprehension (unseen passage); map reading skills, scale, distance, direction, area, etc.; critical reasoning; understanding of charts, graphs, and tables; basic concepts of statistics and quantitative reasoning. 