IITs and IISc are institutions of national importance and are well known, the world over, for quality education in engineering, science & technology and research in frontier areas. The aim of IITs and IISc is to build a sound foundation of knowledge, pursue excellence and enhance creativity in an intellectually stimulating environment. The vibrant academic ambience and wellequipped research infrastructure of IISc & IITs motivate the students to pursue Research and Development careers in frontier areas of basic sciences as well as interdisciplinary areas of science and technology.
Joint Admission Test for M.Sc. (JAM) is being conducted from 2004 to provide admissions to M.Sc. (Four Semesters), Joint M.Sc.Ph.D., M.Sc.Ph.D. Dual Degree, etc. Programmes at the IITs and Integrated Ph.D. Degree Programmes at IISc for consolidating Science as a career option for bright students. These postgraduate programmes at IITs and IISc offer high quality education in their respective disciplines, comparable to the best in the world. The curricula for these programmes are designed to provide opportunities to the students to develop academic talent leading to challenging and rewarding professional life.
IIT JAM 2019 Exam Dates
Check here official JAM dates for the JAM examination.
Events 
Dates (Announced) 
Availability of Online Application 
1st September 2018 
Last date to submit application 
1st October 2018 
Admit Card Release 
4th January 2019 
Mock Test Available 
10th January 2019 
IIT JAM Exam Date 
10th February 2019 
Candidates Response 
19th February 2019 
Answer Key Release 
25th February 2019 
Result Declaration 
20th March 2019 
Rank & Merit List 
5th April 2019 
Score Card Release 
5th April to 31st July 2019 
Admission Form Availability 
11th April to 24th April 2019 
Last Date for receipt of request for change of category 
Till 7th May 2019 
Declaration of First Admission List 
3rd June 2019 
ADMISSION PROCEDURE
Only the candidates who qualify in JAM 2019 (whose names appear on the Merit List) will be eligible to apply for admission to any of the corresponding academic programmes available at IITs (refer to AppendicesI & II of the Information Brochure). Candidates are advised, in their own interest, to refer to the brief profiles of the Admitting Institutes and Departments at their respective websites. Applicants should note that they have to apply for admission by filling an online Application Form for Admission (henceforth called Admission Form) available only at JAM 2019 website. Based on the test paper(s) qualified, an applicant can apply to one or more academic programmes covered under that test paper(s), subject to fulfilment of the Minimum Educational Qualifications (MEQs) and the Eligibility Requirements (ERs) of the Admitting Institute(s). For the academic session 201819, the following admission procedure shall be followed for all the Programmes at IITs covered under JAM 2019. Candidates are also advised to refer to the JAM 2019 website for latest updates.
After JAM 2019 results are announced, a qualified candidate will have to apply ONLINE only using the prescribed Admission Form available at JAM 2019 website http://jam.iitb.ac.in, irrespective of IITs where the admission is sought. The duration for online Admission Form submission is from April 0317, 2018.
NOTE to OBCNCL Candidates: The candidates must upload a valid OBCNCL certificate issued after 31st March 2017, in the prescribed format when they submit their application form for admission after the declaration of JAM 2019 results. The final seat allotment will be done based on the OBCNCL certificate submitted along with the application form for admission. The candidate will be considered in the General category in case the OBCNCL Certificate is invalid or not in the prescribed format or not uploaded within prescribed time.
Note: Applicants are requested to periodically check the web site for knowing the status of the application/any communication. They should also check the messages sent to their registered email and mobile.
Important Note:
o Verification of Minimum Educational Qualifications (MEQs) and the Eligibility Requirements (ERs) for admission is the prerogative of the Admitting Institute(s) only and the Organizing Institute will not respond to any queries in this regard.
o The offer of admission to a candidate will be provisional, subject to the fulfilment of all the requirements by the dates specified.
o Candidates should note that being in the Merit List of any test paper neither guarantees nor provides any automatic entitlement for admission. Admissions shall be made in order of merit and depending on the number of seats available at the Admitting Institute(s).
For all latest Govt Jobs 2018, Railway Jobs, Bank Jobs and SSC Jobs log on to https://goo.gl/YPjt94 We bring you fastest and relevant notifications on Bank, Railways and Govt Jobs. Stay Connected
http://fyjc.vidyarthimitra.org/
Govt. & Private Jobs, Internships, Campus Drive, Offcampus & many more 
Recommended Books
Books play a very important role for the preparation of any kind of examination. The following table shows the names of the books which every aspirant must study:
JAM

Get free Educational & jobs alert on WhatsApp OR Telegram(https://t.me/VidyarthiMitra) Save this mobile number (77200 25900) on your phone as VidyarthiMitra.org and send WHATSAPP message (Your Name, City & Interest)

'विद्यार्थी मित्र' जॉईन करा आणि मिळवा न्यूज, नोकरी, शासकीय व निमशासकीय नोकऱ्यांच्या जाहिराती व माहिती अगदी विनामूल्य ते ही आपल्या व्हॉटस्अॅपवर किंवा* *टेलेग्राम (https://t.me/VidyarthiMitra) हा मोबाईल नं. सेव्ह करून आपले <नाव> <शहराचे नाव> <नोकरी> ७७२०० २५९०० मेसेज पाठवा

IIT JAM Eligibility 2019 should be checked by candidates before applying. Joint Admission Test for M.Sc (JAM) is the national level exam for admission to M.Sc and other postbachelor degree & dual degree programmes at IITs. IIT JAM eligibility criteria is given below in detail. The JAM exam is gateway for admission to integrated Ph.D programme at Indian Institute of Science (IISc) & IITs. IIT, Kharagpur is the organizing institute for JAM 2019 examination. Every year, this entrance test is taken by a number of students. The JAM exam will be conducted on 10th February 2019. Only eligible candidates will apply for JAM 2019. Through this article, candidates can check JAM 2019 eligibility.
Get latest news & updates about IIT JAM 2019 via SMS and email, by entering your details below:
General Eligibility Criteria
Indian national as well as foreign national are eligible for JAM.
Qualifying Exam: Candidates applying for JAM should have bachelor’s degree as a qualifying examination degree.
Minimum Marks: The qualifying examination must be passed with minimum 55% aggregate marks (in all subjects including Languages and Subsidiaries, all years combined) without rounding off.
Candidates belonging from SC/ST category are required to obtain at least 50% aggregate marks, without rounding off.
In case of grading system/CGPA, the equivalence in percentage of marks will be decided by the Admitting Institute.
Candidates who are pursuing the qualifying examination have to submit the proof of passing the qualifying examination to the admitted institute by 30th September 2019.
There is no restriction in the upper age limit for JAM.
Candidates must check the eligibility before filling the IIT JAM application form.
Test Papers & Codes & Eligibility for Admission
Here we are providing the eligibility criteria of various courses offered under IIT JAM exam 2019. The examination will be organized in seven subjects, also referred to as Test Papers, of Biological Sciences (BL), Biotechnology (BT), Chemistry (CY), Geology (GG), Mathematics (MA), Mathematical Statistics (MS) and Physics (PH).
Test Paper (Test paper code)  Academic Programme(s)  Institute(s)  Minimum Educational Qualification(s) for Admission  
Essential subjects in Bachelor’s Degree along with minimum duration  Essential subjects at (10+2) level  
Biotechnology (BT)  M.Sc. Biotechnology  IITI  Any Branch/ Subject  No Restrictions 
M.Sc. Biotechnology  IITB, IITR  Any Branch/ Subject  Mathematics  
M.Sc. Ph.D. Dual Degree in Environmental Science and Engineering  IITB  Any one of Biology, Biotechnology, Chemistry, Mathematics and Physics for two years/four semesters, and any one of the other four subjects for at least one year/two semesters  
Chemistry (CY) 
M.Sc. Chemistry  IITB, IITD, IITG, IITGN, IITH, IITI, IITJ, IITK, IITM, IITP, IITR, IITRPR, IITISM, IITBHU, IIT Bhilai  Chemistry for three years/six semesters  Mathematics 
Joint M.Sc. Ph.D. in Chemistry  IITBBS, IITKGP  
M.Sc. Ph.D. Dual Degree in Environmental Science and Engineering  IITB  Any one of Biology, Biotechnology, Chemistry, Mathematics and Physics for two years/four semesters, and any one of the other four subjects for at least one year/two semesters  Mathematics  
Joint M.Sc. Ph.D. in Atmosphere and Ocean Sciences  IITBBS  Mathematics and Physics with any one of these subjects among Chemistry, Computer Science, Computer Application, Geology and Statistics  No Restrictions  
Geology (GG) 
M.Sc. Applied Geology  IITB, IITR  Geology for three years/six semesters and any two subjects among Mathematics, Physics, Chemistry and Biological Science  Mathematics 
Joint M.Sc. Ph.D. in Geophysics  IITKGP  Geology as a subject for three years/six semesters and any two subjects among Mathematics, Physics and Chemistry  
Joint M.Sc. Ph.D. in Geology  IITKGP, IITBBS  
Joint M.Sc. Ph.D. in Atmosphere and Ocean Sciences  IITBBS  Mathematics and Physics and any one of these subjects among Chemistry, Computer Science, Computer Application, Geology and Statistics  No Restrictions  
M.Sc.(Tech) in Applied Geology*  IITISM  B.Sc degree (3 year) with Geology as Honours/ Major/ Main/Equivalent subject and any 2 subsidiary subjects from Mathematics, Physics and Chemistry.  Mathematics  
Mathematics (MA)  M.Sc. in Economics  IITR  Mathematics as one of the core subjects  No Restrictions 
M.Sc. Mathematics  IITB, IITD, IITGN, IITI, IITJ,IITK, IITM, IITP, IITR, IITRPR  Mathematics for at least two years/four semesters  
M.Sc. Mathematics/ Mathematics and Computing  IITISM  
M.Sc. Mathematics and Computing  IITG, IIT Bhilai 

M.Sc. Mathematics/ Applied Mathematics and Computing  IITH  
Joint M.Sc. Ph.D. in Mathematics  IITBBS, IITKGP  Mathematics/ Statistics as a subject for at least two years/four semesters.  
M.Sc. Ph.D. Dual Degree in Operations Research  IITB  
M.Sc. Ph.D. Dual Degree in Environmental Science and Engineering  IITB  Any one of Biology, Biotechnology, Chemistry, Mathematics and Physics for two years/four semesters, and any one of the other four subjects for at least one year/two semesters.  Mathematics  
Joint M.Sc. Ph.D. in Atmosphere and Ocean Sciences  IITBBS  Mathematics and Physics and any one of these subjects among Chemistry, Computer Science, Computer Application, Geology and Statistics  No Restrictions  
Mathematical Statistics (MS)  M.Sc. Applied Statistics and Informatics  IITB  Mathematics or Statistics for at least two years/ four semesters  No Restrictions 
M.Sc. Ph.D. Dual Degree in Operations Research  IITB  
M.Sc. Statistics  IITK  Statistics for at least two years/ four semesters  
Joint M.Sc. Ph.D. in Atmosphere and Ocean Sciences  IITBBS  Mathematics and Physics and any one of these subjects among Chemistry, Computer Science, Computer Application, Geology and Statistics  
Physics (PH)

M.Sc. Physics  IITB, IITD, IITG, IITGN, IITH, IITI,IITJ,IITK, IITM, IITP, IITR, IITRPR, IITISM, IITBHU, IIT Bhilai  Physics for at least two years/four semesters and Mathematics for at least one year/two semesters  No Restrictions 
Joint M.Sc. Ph.D. in Physics  IITBBS, IITKGP  
M.Sc. Ph.D. Dual Degree in Physics  IITK  
M.Sc. Applied Geophysics  IITB  Physics and Mathematics/Mathematical Physics for two years/four semesters and at least one of them as subject for three years/six semesters  
M.Sc. Astronomy  IITI  Physics and Mathematics for two years/four semesters and at least one of them as subject for three years/six semesters / Degree in Computer Science, Electrical or Mechanical Engineering  
Joint M.Sc. Ph.D. in Atmosphere and Ocean Sciences  IITBBS  Mathematics and Physics and any one of these subjects among Chemistry, Computer Science, Computer Application, Geology and Statistics  
Joint M.Sc. Ph.D. in Geophysics  IITKGP  Geology as a subject for three years/six semesters and any two subjects among Mathematics, Physics and Chemistry  Mathematics  
M.Sc. Ph.D. Dual Degree in Environmental Science and Engineering  IITB  Any one of Biology, Biotechnology, Chemistry, Mathematics and Physics for two years/four semesters, and any one of the other four subjects for at least one year/two semesters  
M.Sc.(Tech) in AppliedGeophysics  IITISM  B.Sc Degree (3 yr.) with Physics as Honours/ Major/ Main/ Equivalent subject, Mathematics as a subsidiary subject for 2 years/4 semesters and another subsidiary subject from Chemistry, Geology, Electronics, and Statistics for 1 year/ 2 semesters.  No Restrict 
For all latest Govt Jobs 2018, Railway Jobs, Bank Jobs and SSC Jobs log on to https://goo.gl/YPjt94 We bring you fastest and relevant notifications on Bank, Railways and Govt Jobs. Stay Connected
http://fyjc.vidyarthimitra.org/
Govt. & Private Jobs, Internships, Campus Drive, Offcampus & many more 
Recommended Books
Books play a very important role for the preparation of any kind of examination. The following table shows the names of the books which every aspirant must study:
JAM

Get free Educational & jobs alert on WhatsApp OR Telegram(https://t.me/VidyarthiMitra) Save this mobile number (77200 25900) on your phone as VidyarthiMitra.org and send WHATSAPP message (Your Name, City & Interest)

'विद्यार्थी मित्र' जॉईन करा आणि मिळवा न्यूज, नोकरी, शासकीय व निमशासकीय नोकऱ्यांच्या जाहिराती व माहिती अगदी विनामूल्य ते ही आपल्या व्हॉटस्अॅपवर किंवा* *टेलेग्राम (https://t.me/VidyarthiMitra) हा मोबाईल नं. सेव्ह करून आपले <नाव> <शहराचे नाव> <नोकरी> ७७२०० २५९०० मेसेज पाठवा

IIT JAM Syllabus 2019 is vary as per the courses opted by the students. IIT, Kharagpur is conducting the IIT Joint Admission Test (IIT JAM 2019) for admission to 2years M.Sc and other post bachelor degree programmes offered by the IITs. Candidates who wish to take admission into integrated Ph.D programme offered by IISc can also take this test. The IIT JAM will be conducted on 10th February 2019. In this article, students can check details about IIT JAM 2019 syllabus for all the papers.
Get latest news & updates about IIT JAM 2019 via SMS and email, by entering your details below:
IIT JAM Exam Pattern 2019
JAM 2019 will be conducted online for all the seven papers. The duration of the examination will be 3 hours. In JAM, there are total 60 questions comprising of 100 marks. The question paper will consists of three sections namely SectionA, SectionB and SectionC. Questions in SectionA and SectionB will be of objective type while questions in SectionC will be of Numerical Answer Type (NAT). There will be negative marking for SectionA but no negative marking for SectionB and SectionC.
IIT JAM Syllabus 2019
In IIT JAM 2019 syllabus, will be released by the authority along with the information bulletin. Students can check the syllabus of JAM 2019 for all the seven papers. The seven papers of JAM are Biological Sciences, Biotechnology, Chemistry, Geology, Mathematics, Mathematical Statistics and Physics. Check below the official syllabus paperwise.
General Biology: Taxonomy of plants and animals; proand eukaryotic organisms; cell organelles and their function; multicellular organization; general physiology; energy transformations; internal transport systems of plants and animals; photosynthesis; respiration; regulation of body fluids and excretory mechanisms; reproductive biology; plant and animal hormones and their action; nervous systems; animal behavior; plant and animal diseases; Mendelian genetics and heredity; basics of developmental biology; biology of populations and communities; evolution; basic principles of ecology; genesis and diversity of organisms.
Basics of Biochemistry, Biophysics, Molecular Biology: Buffers; trace elements in biological systems; enzymes and proteins; vitamins; biological oxidations, photosynthesis; carbohydrates and lipids and their metabolism; digestion and absorption; detoxifying mechanisms; nucleic acids; nucleic acid metabolism; nature of gene and its function; genetic code; synthesis of nucleic acids and proteins; regulation of gene expression; operons.
Structure of biomolecules; intra and intermolecular forces; thermodynamics and kinetics of biological systems; enzyme mechanisms and kinetics; principles of Xray diffraction; IR and UV spectroscopy; analytical and biochemical techniques
Microbiology, Cell Biology and Immunology: Classification of microorganisms and their characterization; nutrient requirement for growth; laboratory techniques in microbiology; pathogenic microorganisms and disease; applied microbiology; viruses and fungi; microbial genetics; cell theory; cell architecture; cell division; types of chromosome structure; biochemical genetics inborn errors of metabolisms; innate and adaptive immunity, antigen antibodies; principles of processes of development.
Mathematical Sciences: Mathematical functions (algebraic, exponential, trigonometric) and their derivatives (derivatives and integrals of simple functions); permutations and combinations; basic probability and volumetric calculations.
Syllabus – Geology (GG)
The Planet Earth: Origin of the Solar System and the Earth; Geosphere and the composition of the Earth; Shape and size of the earth; Earthmoon system; Formation of continents and oceans; Dating rocks and age of the Earth; Volcanism and volcanic landforms; Interior of earth; Earthquakes; Earth’s magnetism and gravity, Isostasy; Elements of Plate tectonics; Orogenic cycles.
Geomorphology: Weathering and erosion; Transportation and deposition due to wind, ice, river, sea, and resulting landforms, Structurally controlled landforms.
Structural Geology: Concept of stratum; Contour; Outcrop patterns; Maps and cross sections; Dip and strike; Classification and origin of folds, faults, joints, unconformities, foliations and lineations,; shear zones. Stereographic and equal area projections of planes and lines; computation of true thickness of beds from outcrops and boreholes.
Palaeontology:Major steps in the evolution of life forms; Fossils; their mode of preservation and utility; Morphological characters, major evolutionary trends and ages of important groups of animals – Brachiopoda, Mollusca, Trilobita, Graptolitoidea, Anthozoa, Echinodermata; Gondwana plant fossils; Elementary idea of verterbrate fossils in India.
Stratigraphy: Principles of stratigraphy; Litho, chrono and biostratigraphic classification; distribution and classification of the stratigraphic horizons of India from Archaean to Recent.
Mineralogy: Symmetry and forms in common crystal classes; Physical properties of minerals; Isomorphism and polymorphism, Classification of minerals; Structure of silicates; Mineralogy of common rockforming minerals; Mode of occurrence of minerals in rocks. Transmitted polarised light microscopy and optical properties of uniaxial and biaxial minerals.
Petrology: Definition and classification of rocks; Igneous rocksforms of igneous bodies; Crystallization from magma; classification, association and genesis of igneous rocks; Sedimentary rocks – classification, texture and structure; size and shape of sedimentary bodies. Metamorphic rocks – classification, facies, zones and texture. Characteristic mineral assemblages of pelites in the Barrovian zones and mafic rocks in common facies.
Economic Geology: Properties of common economic minerals; General processes of formation of mineral deposits; Physical characters; Mode of occurrence and distribution in India both of metallic and nonmetallic mineral deposits; Coal and petroleum occurrences in India.
Applied Geology: Ground Water; Principles of Engineering Geology.
Mathematical Methods: Calculus of single and multiple variables, partial derivatives, Jacobian, imperfect and perfect differentials, Taylor expansion, Fourier series. Vector algebra, Vector Calculus, Multiple integrals, Divergence theorem, Green’s theorem, Stokes’ theorem. First order equations and linear second order differential equations with constant coefficients. Matrices and determinants, Algebra of complex numbers.
Mechanics and General Properties of Matter: Newton’s laws of motion and applications, Velocity and acceleration in Cartesian, polar and cylindrical coordinate systems, uniformly rotating frame, centrifugal and Coriolis forces, Motion under a central force, Kepler’s laws, Gravitational Law and field, Conservative and nonconservative forces. System of particles, Center of mass, equation of motion of the CM, conservation of linear and angular momentum, conservation of energy, variable mass systems. Elastic and inelastic collisions. Rigid body motion, fixed axis rotations, rotation and translation, moments of Inertia and products of Inertia, parallel and perpendicular axes theorem. Principal moments and axes. Kinematics of moving fluids, equation of continuity, Euler’s equation, Bernoulli’s theorem.
Oscillations, Waves and Optics: Differential equation for simple harmonic oscillator and its general solution. Superposition of two or more simple harmonic oscillators. Lissajous figures. Damped and forced oscillators, resonance. Wave equation, traveling and standing waves in onedimension. Energy density and energy transmission in waves. Group velocity and phase velocity. Sound waves in media. Doppler Effect. Fermat’s Principle. General theory of image formation. Thick lens, thin lens and lens combinations. Interference of light, optical path retardation. Fraunhofer diffraction. Rayleigh criterion and resolving power. Diffraction gratings. Polarization: linear, circular and elliptic polarization. Double refraction and optical rotation.
Electricity and Magnetism: Coulomb’s law, Gauss’s law. Electric field and potential. Electrostatic boundary conditions, Solution of Laplace’s equation for simple cases. Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. BiotSavart law, Ampere’s law, Faraday’s law of electromagnetic induction, Self and mutual inductance. Alternating currents. Simple DC and AC circuits with R, L and C components. Displacement current, Maxwell’s equations and plane electromagnetic waves, Poynting’s theorem, reflection and refraction at a dielectric interface, transmission and reflection coefficients (normal incidence only). Lorentz Force and motion of charged particles in electric and magnetic fields.
Kinetic theory, Thermodynamics: Elements of Kinetic theory of gases. Velocity distribution and Equipartition of energy. Specific heat of Mono, di and triatomic gases. Ideal gas, vanderWaals gas and equation of state. Mean free path. Laws of thermodynamics. Zeroth law and concept of thermal equilibrium. First law and its consequences. Isothermal and adiabatic processes. Reversible, irreversible and quasistatic processes. Second law and entropy. Carnot cycle. Maxwell’s thermodynamic relations and simple applications. Thermodynamic potentials and their applications. Phase transitions and ClausiusClapeyron equation. Ideas of ensembles, MaxwellBoltzmann, FermiDirac and BoseEinstein distributions.
Modern Physics: Inertial frames and Galilean invariance. Postulates of special relativity. Lorentz transformations. Length contraction, time dilation. Relativistic velocity addition theorem, mass energy equivalence. Blackbody radiation, photoelectric effect, Compton effect, Bohr’s atomic model, Xrays. Waveparticle duality, Uncertainty principle, the superposition principle, calculation of expectation values, Schrödinger equation and its solution for one, two and three dimensional boxes. Solution of Schrödinger equation for the one dimensional harmonic oscillator. Reflection and transmission at a step potential, Pauli exclusion principle. Structure of atomic nucleus, mass and binding energy. Radioactivity and its applications. Laws of radioactive decay.
Solid State Physics, Devices and Electronics: Crystal structure, Bravais lattices and basis. Miller indices. Xray diffraction and Bragg’s law; Intrinsic and extrinsic semiconductors, variation of resistivity with temperature. Fermi level. pn junction diode, IV characteristics, Zener diode and its applications, BJT: characteristics in CB, CE, CC modes. Single stage amplifier, two stage RC coupled amplifiers. Simple Oscillators: Barkhausen condition, sinusoidal oscillators. OPAMP and applications: Inverting and noninverting amplifier. Boolean algebra: Binary number systems; conversion from one system to another system; binary addition and subtraction. Logic Gates AND, OR, NOT, NAND, NOR exclusive OR; Truth tables; combination of gates; de Morgan’s theorem.
In MS paper, 40% weightage is provided to Mathematics and rest of the 60% weightage to Statistics.
Sequences and Series: CConvergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers.
Differential Calculus: Limits, continuity and differentiability of functions of one and two variables. Rolle’s theorem, mean value theorems, Taylor’s theorem, indeterminate forms, maxima and minima of functions of one and two variables.
Integral Calculus: Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes.
Matrices: Rank, inverse of a matrix. Systems of linear equations. Linear transformations, eigenvalues and eigenvectors. CayleyHamilton theorem, symmetric, skewsymmetric and orthogonal matrices.
Probability: Axiomatic definition of probability and properties, conditional probability, multiplication rule. Theorem of total probability. Bayes’ theorem and independence of events.
Random Variables: Probability mass function, probability density function and cumulative distribution functions, distribution of a function of a random variable. Mathematical expectation, moments and moment generating function. Chebyshev’s inequality.
Standard Distributions: BBinomial, negative binomial, geometric, Poisson, hypergeometric, uniform, exponential, gamma, beta and normal distributions. Poisson and normal approximations of a binomial distribution.
Joint Distributions: Joint, marginal and conditional distributions. Distribution of functions of random variables. Joint moment generating function. Product moments, correlation, simple linear regression. Independence of random variables.
Sampling distributions: Chisquare, t and F distributions, and their properties.
Limit Theorems: Weak law of large numbers. Central limit theorem (i.i.d.with finite variance case only).
Estimation: Unbiasedness, consistency and efficiency of estimators, method of moments and method of maximum likelihood. Sufficiency, factorization theorem. Completeness, RaoBlackwell and LehmannScheffe theorems, uniformly minimum variance unbiased estimators. RaoCramer inequality. Confidence intervals for the parameters of univariate normal, two independent normal, and one parameter exponential distributions.
Testing of Hypotheses: Basic concepts, applications of NeymanPearson Lemma for testing simple and composite hypotheses. Likelihood ratio tests for parameters of univariate normal distribution.
Syllabus – Biotechnology (BT):
The test paper of BT comprises of Biology (44% weightage), Chemistry (20% weightage), Mathematics (18% weightage) and Physics (18% weightage).
BIOLOGY (10+2+3 level):
General Biology: Taxonomy; Heredity; Genetic variation; Conservation; Principles of ecology; Evolution; Techniques in modern biology.
Biochemistry and Physiology: Carbohydrates; Proteins; Lipids; Nucleic acids; Enzymes; Vitamins; Hormones; Metabolism – Glycolysis, TCA cycle, Oxidative Phosphoryation; Photosynthesis. Nitrogen Fixation, Fertilization and Osmoregulation; VertebratesNervous system; Endocrine system; Vascular system; Immune system; Digestive system and Reproductive System.
Basic Biotechnology: Tissue culture; Application of enzymes; Antigenantibody interaction; Antibody production; Diagnostic aids, Molecular Biology: DNA; RNA; Replication; Transcription; Translation; Proteins; Lipids and Membranes; Operon model; Gene transfer, Cell Biology: Cell cycle; Cytoskeletal elements; Mitochondria; Endoplasmic reticulum; Chloroplast; Golgi apparatus; Signaling, Microbiology: Isolation; Cultivation; Structural features of virus; Bacteria; Fungi; Protozoa; Pathogenic microorganizms.
CHEMISTRY (10+2+3 level):
Atomic Structure: Bohr’s theory and Schrodinger wave equation; Periodicity in properties; Chemical bonding; Properties of s, p, d and f block elements; Complex formation; Coordination compounds; Chemical equilibria; Chemical thermodynamics (first and second law); Chemical kinetics (zero, first, second and third order reactions); Photochemistry; Electrochemistry; Acidbase concepts; Stereochemistry of carbon compounds; Inductive, electromeric, conjugative effects and resonance; Chemistry of Functional Groups: Hydrocarbons, alkyl halides, alcohols, aldehydes, ketones, carboxylic acids, amines and their derivatives; Aromatic hydrocarbons, halides, nitro and amino compounds, phenols, diazonium salts, carboxylic and sulphonic acids; Mechanism of organic reactions; Soaps and detergents; Synthetic polymers; Biomolecules – amino acids, proteins, nucleic acids, lipids and carbohydrates (polysaccharides); Instrumental techniques – chromatography (TLC, HPLC), electrophoresis, UVVis, IR and NMR spectroscopy, mass spectrometry.
MATHEMATICS (10+2 level):
Sets, Relations and Functions, Mathematical Induction, Logarithms, Complex numbers, Linear and Quadratic equations, Sequences and Series, Trigonometry, Cartesian System of Rectangular Coordinates, Straight lines and Family, Circles, Conic Sections, Permutations and Combinations, Binomial Theorem, Exponential and Logarithmic Series, Mathematical Logic, Statistics, Three Dimensional Geometry, Vectors, Matrices and Determinants, Boolean Algebra, Probability, Functions, limits and Continuity, Differentiation, Application of Derivatives, Definite and Indefinite Integrals, Differential Equations.
PHYSICS (10+2 level):
Physical World and Measurement, Elementary Statics and Dynamics, Kinematics, Laws of Motion, Work, Energy and Power, Electrostatics, Current electricity, Magnetic Effects of Current and Magnetism, Electromagnetic Induction and Alternating Current, Electromagnetic waves, Optics, Dual Nature of Matter and Radiations, Atomic Nucleus, Solids and Semiconductor Devices, Principles of Communication, Motion of System of Particles and Rigid Body, Gravitation, Mechanics of Solids and Fluids, Heat and Thermodynamics, Oscillations, Waves.
PHYSICAL CHEMISTRY:
Basic Mathematical Concepts: Functions; maxima and minima; integrals; ordinary differential equations; vectors and matrices; determinants; elementary statistics and probability theory.
Atomic and Molecular Structure: Fundamental particles; Bohr’s theory of hydrogenlike atom; waveparticle duality; uncertainty principle; Schrödinger’s wave equation; quantum numbers; shapes of orbitals; Hund’s rule and Pauli’s exclusion principle; electronic configuration of simple homonuclear diatomic molecules.
Theory of Gases: Equation of state for ideal and nonideal (van der Waals) gases; Kinetic theory of gases; MaxwellBoltzmann distribution law; equipartition of energy.
Solid state: Crystals and crystal systems; Xrays; NaCl and KCl structures; close packing; atomic and ionic radii; radius ratio rules; lattice energy; BornHaber cycle; isomorphism; heat capacity of solids.
Chemical Thermodynamics: Reversible and irreversible processes; first law and its application to ideal and nonideal gases; thermochemistry; second law; entropy and free energy; criteria for spontaneity.
Chemical and Phase Equilibria: Law of mass action; Kp, Kc, Kx and Kn; effect of temperature on K; ionic equilibria in solutions; pH and buffer solutions; hydrolysis; solubility product; phase equilibria–phase rule and its application to onecomponent and twocomponent systems; colligative properties.
Electrochemistry: Conductance and its applications; transport number; galvanic cells; EMF and free energy; concentration cells with and without transport; polarography; concentration cells with and without transport; DebeyHuckelOnsagar theory of strong electrolytes. Chemical Kinetics: Reactions of various order; Arrhenius equation; collision theory; transition state theory; chain reactions – normal and branched; enzyme kinetics; photochemical processes; catalysis.
Adsorption: Gibbs adsorption equation; adsorption isotherm; types of adsorption; surface area of adsorbents; surface films on liquids.
Spectroscopy: BeerLambert law; fundamental concepts of rotational, vibrational, electronic and magnetic resonance spectroscopy.
ORGANIC CHEMISTRY:
Basic Concepts in Organic Chemistry and Stereochemistry: Electronic effects (resonance, inductive, hyperconjugation) and steric effects and its applications (acid/base property); optical isomerism in compounds with and without any stereocenters (allenes, biphenyls); conformation of acyclic systems (substituted ethane/npropane/nbutane) and cyclic systems (mono and disubstituted cyclohexanes).
Organic Reaction Mechanism and Synthetic Applications: Chemistry of reactive intermediates (carbocations, carbanions, free radicals, carbenes, nitrenes, benzynes etc…); HofmannCurtiusLossen rearrangement, Wolff rearrangement, SimmonsSmith reaction, ReimerTiemann reaction, Michael reaction, Darzens reaction, Wittig reaction and McMurry reaction; Pinacolpinacolone, Favorskii, benzilic acid rearrangement, dienonephenol rearrangement, BaeyerVilleger reaction; oxidation and reduction reactions in organic chemistry; organometallic reagents in organic synthesis (Grignard, organolithium and organocopper); DielsAlder, electrocyclic and sigmatropic reactions; functional group interconversions and structural problems using chemical reactions.
Qualitative Organic Analysis: Identification of functional groups by chemical tests; elementary UV, IR and 1H NMR spectroscopic techniques as tools for structural elucidation.
Natural Products Chemistry: Chemistry of alkaloids, steroids, terpenes, carbohydrates, amino acids, peptides and nucleic acids.
Aromatic and Heterocyclic Chemistry: Monocyclic, bicyclic and tricyclic aromatic hydrocarbons, and monocyclic compounds with one hetero atom: synthesis, reactivity and properties.
Periodic Table: Periodic classification of elements and periodicity in properties; general methods of isolation and purification of elements.
Chemical Bonding and Shapes of Compounds: Types of bonding; VSEPR theory and shapes of molecules;
hybridization; dipole moment; ionic solids; structure of NaCl, CsCl, diamond and graphite; lattice energy.
Main Group Elements (s and p blocks): General concepts on group relationships and gradation in properties; structure of electron deficient compounds involving main group elements.
Transition Metals (d block): Characteristics of 3d elements; oxide, hydroxide and salts of first row metals; coordination complexes: structure, isomerism, reaction mechanism and electronic spectra; VB, MO and Crystal Field theoretical approaches for structure, color and magnetic properties of metal complexes; organometallic compounds having ligands with back bonding capabilities such as metal carbonyls, carbenes, nitrosyls and metallocenes; homogenous catalysis.
Bioinorganic Chemistry: Essentials and trace elements of life; basic reactions in the biological systems and the role of metal ions, especially Fe2+, Fe3+, Cu2+ and Zn2+; structure and function of hemoglobin and myoglobin and carbonic anhydrase.
Instrumental Methods of Analysis: Basic principles; instrumentations and simple applications of conductometry, potentiometry and UVvis spectrophotometry; analysis of water, air and soil samples.
Analytical Chemistry: Principles of qualitative and quantitative analysis; acidbase, oxidationreduction and complexometric titrations using EDTA; precipitation reactions; use of indicators; use of organic reagents in inorganic analysis; radioactivity; nuclear reactions; applications of isotopes.
Sequences and Series of Real Numbers: Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, BolzanoWeierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series.
Functions of One Variable: Limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L’Hospital rule, Taylor’s theorem, maxima and minima.
Functions of Two or Three Real Variables: Limit, continuity, partial derivatives, differentiability, maxima and minima.
Integral Calculus:Integration as the inverse process of differentiation, definite integrals and their properties, fundamental theorem of calculus. Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.
Differential Equations: Ordinary differential equations of the first order of the form y’=f(x,y), Bernoulli’s equation, exact differential equations, integrating factor, orthogonal trajectories, homogeneous differential equations, variable separable equations, linear differential equations of second order with constant coefficients, method of variation of parameters, CauchyEuler equation.
Vector Calculus: Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes and Gauss theorems.
Group Theory: Groups, subgroups, Abelian groups, nonAbelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange’s Theorem for finite groups, group homomorphisms and basic concepts of quotient groups.
Linear Algebra: Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, ranknullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigen values and eigenvectors for matrices, CayleyHamilton theorem.
Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), Taylor’s series, radius and interval of convergence, termwise differentiation and integration of power series.
For all latest Govt Jobs 2018, Railway Jobs, Bank Jobs and SSC Jobs log on to https://goo.gl/YPjt94 We bring you fastest and relevant notifications on Bank, Railways and Govt Jobs. Stay Connected
http://fyjc.vidyarthimitra.org/
Govt. & Private Jobs, Internships, Campus Drive, Offcampus & many more 
Recommended Books
Books play a very important role for the preparation of any kind of examination. The following table shows the names of the books which every aspirant must study:
JAM

Get free Educational & jobs alert on WhatsApp OR Telegram(https://t.me/VidyarthiMitra) Save this mobile number (77200 25900) on your phone as VidyarthiMitra.org and send WHATSAPP message (Your Name, City & Interest)

'विद्यार्थी मित्र' जॉईन करा आणि मिळवा न्यूज, नोकरी, शासकीय व निमशासकीय नोकऱ्यांच्या जाहिराती व माहिती अगदी विनामूल्य ते ही आपल्या व्हॉटस्अॅपवर किंवा* *टेलेग्राम (https://t.me/VidyarthiMitra) हा मोबाईल नं. सेव्ह करून आपले <नाव> <शहराचे नाव> <नोकरी> ७७२०० २५९०० मेसेज पाठवा

Application Start Date  :  1st September 2018 

Application End Date  :  10th October 2018 
Exam Date  :  10th February 2019 
Result Date  :  20th March 2019 
Conducted By  :  IIT Bombay 
Official Website  :  www.jam.iitkgp.ac.in 