The Joint Entrance Examination (Advanced) 2018 will be conducted by the IITs under the guidance of the Joint Admission Board (JAB) 2018. The performance of a candidate in this examination will form the basis for admission to the Bachelor’s, Integrated Master’s and Dual Degree programs (entry at the 10+2 level) in all the IITs. The decisions of the JAB 2018 will be final in all matters related to JEE (Advanced) 2018 and admission to IITs.

The examination consists of two papers, Paper 1 and Paper 2, each of three hours duration and will be held as per the following schedule:

Item | Day | Date | Time | Session |
---|---|---|---|---|

Paper-1 | Sunday | 20-May-2018 | 09:00 to 12:00 IST | Session 1 |

Paper-2 | Sunday | 20-May-2018 | 14:00 to 17:00 IST | Session 2 |

Both the papers are compulsory. The exam will be held in fully computer-based test mode.

The schedule will remain the same even if the day of examination is declared a public holiday.

All the candidates must fulfil each and every one of the following five criteria to appear in JEE (Advanced) 2018.

Criterion 1 – Performance in JEE (Main) 2018: Candidates should be among the top 2,24,000* (including all categories) in Paper-1 of JEE (Main) 2018.

The percentages of various categories of candidates to be shortlisted are: 27% for OBC-NCL, 15% for SC, 7.5% for ST and the remaining 50.5% is OPEN for all. Within each of these four categories, 5% horizontal reservation is available for PwD candidates.

The following table show the order to be followed while choosing top 2,24,000* candidates in various categories based on the performance in Paper-1 of JEE (Main) 2018.

Category-wise distribution of top 2,24,000* candidates (Criterion 1)

ORDER | CATEGORY | Number of “Top” candidates | |
---|---|---|---|

1 | OPEN | 1,07,464 | Total 1,13,120 |

2 | OPEN-PwD | 5,656 | |

3 | OBC-NCL | 57,456 | Total 60,480 |

4 | OBC-NCL-PwD | 3,024 | |

5 | SC | 31,920 | Total 33,600 |

6 | SC-PwD | 1,680 | |

7 | ST | 15,960 | Total 15,960 |

8 | ST-PwD | 840 |

The total number of candidates can be slightly greater than 2,24,000 in the presence of “tied” ranks/scores in any category.

Criterion 2 – Age limit: Candidates should have been born on or after October 1, 1993. Five years relaxation is given to SC, ST and PwD candidates, i.e., these candidates should have been born on or after October 1, 1988.

Criterion 3 – Number of attempts: A candidate can attempt JEE (Advanced) a maximum of two times in consecutive years.

Criterion 4 – Appearance in Class XII (or equivalent) examination: A candidate should have appeared for the Class XII (or equivalent) examination for the first time in either 2017 or 2018. However, if the examination Board of Class XII (or equivalent) declares the results for the academic year 2015-16 after June 2016, then the candidates of that board who appeared for their class XII exam in 2016 are also eligible to appear in JEE (Advanced) 2018, provided they meet the other eligibility criteria. In case, the examination Board of Class XII (or equivalent) declared the results for the academic year 2015-16 before June 2016 but the result of a particular candidate was withheld, then the candidate will not be eligible to appear in JEE (Advanced) 2018.

Criterion 5 – Earlier admission at IITs: A candidate should NOT have been admitted in an IIT irrespective of whether or not he/she continued in the program OR accepted an IIT seat by reporting at a reporting centre in the past. Candidates whose admission at IITs was cancelled after joining any IIT are also NOTeligible to appear in JEE (Advanced) 2018. Candidates who have been admitted to a preparatory course in any of the IITs for the first time in 2017 can appear in JEE (Advanced) 2018.

The candidates who paid seat acceptance fee in 2017 but (i) did not report at any reporting centre OR, (ii) withdrew before the last round of seat allotment, OR, (iii) had their seat cancelled (for whatever reason) before the last round of seat allotment for IITs, during the joint seat allocation in 2017 are eligible to appear in JEE (Advanced) 2018.

However, in any of the above cases, the candidate is required to fulfil the conditions mentioned from criterion 1 to criterion 4.

This information is meant for foreign candidates only.

1. Who can apply as foreign nationals?

Candidates who are NOT citizens of India (by birth or naturalized), do not belong to OCI/PIO category, and whose parents are not citizens of India and do not come under OCI/PIO category at the time of registering for JEE (Advanced) 2018 are treated as foreign nationals. Seats allotted to foreign nationals are supernumerary with a cap of 10% of total number of seats in every course.

Foreign nationals are outside the ambit of reservation of seats under the OBC-NCL, SC, ST and PwD(Persons with Disability) categories as mandated by Govt. of India.

These candidates are not required to write JEE(Main) 2018 and may register for JEE(Advanced) 2018 directly subject to fulfilment of other eligibility criteria.

Identity Proof: Identity proof of both the parents and the candidate is required in the form of citizenship certificate/Passport

2. Registration fee for JEE (Advanced) 2018

All foreign candidates who desire to appear for JEE (Advanced) 2018 have to register online through the JEE (Advanced) 2018 website, www.jeeadv.ac.in. The registration fee for JEE (Advanced) 2018 applicable to foreign nationals is given in the following table.Registration fee for JEE (Advanced) 2018

Registration Fee for Examination Centres in India | ||
---|---|---|

Foreign Nationals | Candidates from SAARC countries | USD 160 + GST* |

Candidates from Non-SAARC countries | USD 300 + GST* |

Registration Fee for Examination Centres in Foreign countries | ||
---|---|---|

Foreign Nationals | Candidates from SAARC countries | USD 160 + GST* |

Candidates from Non-SAARC countries | USD 300 + GST* |

* Exact GST (Goods and Services Tax) amount will be specified as per Government of India rules at the time of registration.

- The registration fee shown above DOES NOT INCLUDE service charges, processing fees and any other charges that the banks may levy.
- Detailed instructions related to the payment of registration fee will be given on the online registration portal.

3. Eligibility Criteria for appearing in JEE (Advanced) 2018

All foreign candidates must fulfil each and every one of the following four criteria to appear in JEE (Advanced) 2018.

Criterion 1 – Age limit: Candidates should have been born on or after October 1, 1993. In countries where a minimum stint in the armed forces (or allied) for a certain period is mandatory before/after Class XII (or equivalent) exam, the candidate will be given a relaxation of required number of years. In such cases, the candidate is required to upload a certificate/testimonial issued by competent authority to this effect at the time of registration.

Criterion 2 – Number of attempts: A candidate can attempt JEE (Advanced) a maximum of two times in consecutive years.

Criterion 3 – Appearance in Class XII (or equivalent) examination: A candidate should have appeared for the Class XII (or equivalent) examination for the first time in either 2017 or 2018.

However, if the examination Board of Class XII (or equivalent) declares the results for the academic year 2015-16 after June 2016, then the candidates of that board who appeared for their class XII exam in 2016 are also eligible to appear in JEE (Advanced) 2018, provided they meet the other eligibility criteria. In case, the examination Board of Class XII (or equivalent) declared the results for the academic year 2015-16 before June 2016 but the result of a particular candidate was withheld, then the candidate will not be eligible to appear in JEE (Advanced) 2018.

Criterion 4 – Earlier admission at IITs: A candidate should NOT have been admitted in an IIT irrespective of whether or not he/she continued in the program OR accepted an IIT seat by reporting at a reporting centre in the past. Candidates whose admission at IITs was cancelled after joining any IIT are also NOT eligible to appear in JEE (Advanced) 2018.

The candidates who paid seat acceptance fee in 2017 but (i) did not report at any reporting centre OR, (ii) withdrew before the last round of seat allotment, OR, (iii) had their seat cancelled (for whatever reason) before the last round of seat allotment for IITs, during the joint seat allocation in 2017, are eligible to appear in JEE (Advanced) 2018.

However, in any of the above cases, the candidate is required to fulfil the conditions mentioned from Criterion 1 to Criterion 3.

4. Performance in Class XII (or equivalent) board examination

The candidates should satisfy at least one of the following two criteria for admission to IITs:

- Must have secured at least 75% aggregate marks in the Class XII (or equivalent) Board examination.
- Must be within the top 20 percentile of successful candidates in their respective Class XII (or equivalent) board examination.

The percentile calculation will be done for the required subjects in a single academic year only. Therefore, candidates appearing for improvement in Board examinations can EITHER appear in one or more subjects and secure 75% aggregate marks after improvement, OR, appear for improvement in ALL subjects to be in top 20 percentileof the corresponding academic year.

- The marks scored in the following five subjects will be considered for calculating the aggregate marks and the cut-off marks for fulfilling the top 20 percentile criterion.
- Physics
- Chemistry
- Mathematics
- A language (if the candidate has taken more than one language, then the language with the higher marks will be considered)
- Any subject other than the above four (the subject with the highest marks will be considered).

- For calculation of the total marks for five subjects, if the marks awarded in a subject is NOT out of 100, then the marks will be scaled (up or down) to 100 so that the total aggregate marks is out of 500.
- If a Board awards only letter grades without providing an equivalent percentage of marks on the grade sheet, the candidate should obtain a certificate from the Board specifying the equivalent marks and submit it at the time of acceptance of the allocated seat. In case such a certificate is not provided, the decision taken by the Joint Implementation Committee of JEE (Advanced) 2018 will be final.
- In case any of the subjects Physics, Chemistry, Mathematics and Language are not evaluated in the final year (e.g., in a 3-year diploma course), then the marks for the same subject from the previous year/s will be used for calculating percentage of aggregate marks.
- For candidates who appeared in the Class XII (or equivalent) Board examination for the first time in 2017 and reappeared in ALL subjects (for whatsoever reason) in 2018, the best of the two performances will be considered.
- If a Board gives aggregate marks considering both Class XI and Class XII examinations (in the 10+2 system), then only Class XII marks will be considered. If a Board gives aggregate marks considering the results of all three years of a 3-year diploma or courses of equivalent duration, then only the marks scored in the final year will be considered. Similarly, for Boards which follow a semester system, the marks scored in the final two semesters will be considered.
- If a Board does not give marks scored in individual subjects but gives only the aggregate marks, then the aggregate marks given by the Board will be considered as such.

Regarding the cut-off marks for the top 20 percentile

- The cut-off marks for the top 20 percentile are calculated based on the marks scored by the candidates who pass in their respective boards in the particular year.
- It is reiterated that top 20 percentile cut-off for the academic year 2018 will be considered for the candidates who pass the Class XII (or equivalent) examination in 2018.
- Similarly, top 20 percentile cut-off for the academic year 2017 will be considered for the candidates who pass the Class XII (or equivalent) examination in 2017.
- Candidates who appeared in Class XII (or equivalent) examination for the first time in 2017 and wish to (or have to) reappear in 2018 with the objective to qualify through top 20 percentile cut-off criteria, should reappear in all the subjects. For such candidates, top 20 percentile cut-off for 2018 will be considered.
- In case a Board does not provide information about the cut-off for the top 20 percentile, the candidate will have to produce a certificate from the respective Board stating that he/she falls within the top 20 percentile of successful candidates. If the candidate fails to do so, then the cut-off marks, in the respective categories, for the CBSE will be used.

Regarding the aggregate marks of 75%

- The aggregate marks scored by the candidate in the 2018 Class XII (or equivalent) Board examination will be considered for candidates who pass the Class XII examination in 2018.
- The aggregate marks scored by the candidate in the 2017 Class XII (or equivalent) Board examination will be considered provided the candidate does not reappear in the Class XII (or equivalent) examination in 2018 in any of the subjects.
- If a candidate has passed his/her Class XII (or equivalent) in 2017 and wishes to improve his/her aggregate marks to meet the “aggregate marks of 75% criterion”, he/she can reappear for any number of subjects he/she wishes for improvement. The percentage marks in this situation will be calculated by considering the marks obtained in 2017 or 2018, whichever is higher, in the respective subjects, in his/her two attempts in 2017 and 2018.

5. Documents required for registration

- Birth certificate for age proof
- Class XII marks sheet/certificate for 75% cut-off (if available at the time of registration)
- Identity proof of the candidate
- Citizenship certificate/Passport of both the parents
- Testimonial (if required)

6. Foreign centres where JEE (Advanced) 2018 will be held

Addis Ababa (Ethiopia), Colombo (Sri Lanka), Dhaka (Bangladesh), Dubai (UAE), Kathmandu (Nepal) and Singapore.

7. Architecture aptitude test for B.Arch. Program

Successful foreign candidates, if interested in B. Arch. Program, are required to come to one of the Zonal IITs to write the Architecture aptitude test for B.Arch. Program.

Registration Fee for Examination Centres in India | ||
---|---|---|

Indian Nationals(including PIO/OCI) | Female Candidates (all categories) | INR 1300 + GST* |

SC, ST, PwD Candidates | INR 1300 + GST* | |

All Other Candidates | NR 2600 + GST* | |

Foreign Nationals | Candidates from SAARC countries | USD 160 + GST* |

Candidates from Non-SAARC countries | USD 300 + GST* |

Registration Fee for Examination Centres in Foreign countries | ||
---|---|---|

Indian Nationals (including PIO/OCI) | All Indian Nationals | USD 160 + GST* |

Foreign Nationals | Candidates from SAARC countries | USD 160 + GST* |

Candidates from Non-SAARC countries | USD 300 + GST* |

* Exact GST (Goods and Services Tax) amount will be specified as per Government of India rules at the time of registration.

- The registration fee shown above DOES NOT INCLUDE service charges, processing fees and any other charges that the payment gateway/banks may levy.
- Detailed instructions related to the payment of registration fee will be given on the online registration portal.

- The services of a scribe (amanuensis) are available only to those PwD (Persons with Disability) candidates who are visually impaired, dyslexic, have disability in the upper limbs or have lost fingers / hands thereby preventing them to properly operate the Computer Based Test (CBT) platform. The PwD candidates who desire to avail the services of scribe need to opt for the same during the online registration of JEE (Advanced) 2018. PwD candidates permitted to use the services of a scribe will get one hour compensatory time i.e., end time will be 13:00 IST for Paper 1 and 18:00 IST for Paper 2.
- To avail the services of scribe, the candidate should request the Chairman, JEE (Advanced) 2018, of the respective zonal coordinating IIT in the prescribed format (FORM-SCRIBE). The requisition, along with a copy of the PwD certificate (FORM-PwD [II/III/IV, whichever is applicable]) OR a copy of the certificate of Dyslexic candidate (FORMS-DYSLEXIC 1 and DYSLEXIC 2, whichever is applicable), should be uploaded at the time of online registration for JEE (Advanced) 2018.
- Zonal coordinating IITs will make arrangements, through the Presiding Officer (PO) of the Examination Centre, to provide a panel of scribes (amanuenses). Such Scribes will be students of Class XI from the science stream with Mathematics as one of the subject. The PwD/dyslexic candidate has to choose a scribe from this panel. The candidates will NOT be allowed to bring their own scribes.
- The candidate will be allowed to meet the panel of scribe one day prior to the examination i.e., on Saturday, 19 May 2018, in the presence of the IIT Representatives (IRs), Presiding Officer (PO) and an Invigilator, and choose her/his scribe.
- If it is found at any stage that a candidate has used the services of a scribe, and consequently availed the benefit of one extra hour, but does not possess the extent of disability that warrants the use of a scribe, she/he will be excluded from the process of evaluation, ranking and admission. In case such a candidate has already been admitted to any IIT, her/his admission will be cancelled.
The formats for the request letter and PwD/Dyslexic certificate are given below.

- Form Scribe : Format of request letter for scribe and extra time for PwD candidates
- Form PwD-1 : Disability Certificate (In cases of amputation or complete permanent paralysis of limbs and in case of blindness)
- Form PwD-2 : Disability Certificate (In cases multiple disabilities)
- Form PwD-3 : Disability Certificate (In cases other than those mentioned in forms II and III)
- Form DYSLEXIC-1 : Format of Medical Certificate/Report to be produced by Dyslexic Candidate
- Form DYSLEXIC-2 : Certificate to be produced by Dyslexic Candidate from the Principal of the School/College last attended

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, trigonal bipyramidal, 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.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 (3d 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.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.Algebra:

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

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 geometry

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.Differential calculus

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

Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals 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.Vectors

Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.General

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 Vernier calipers 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.Mechanics

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

Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law.Electricity and magnetism

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 physics

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.Freehand drawing

This would comprise of simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale. Common domestic or day-to-day life usable objects like furniture, equipment, etc., from memory.Geometrical drawing

Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc. Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc.Three-dimensional perception

Understanding and appreciation of three-dimensional forms with building elements, colour, volume and orientation. Visualization through structuring objects in memory.Imagination and aesthetic sensitivity

Composition exercise with given elements. Context mapping. Creativity check through innovative uncommon test with familiar objects. Sense of colour grouping or application.Architectural awareness

General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain.