Joint Admission Test for M.Sc Programmes (JAM)
Admit Card Date 05 Jan, 2021
About JAM 2021
IISc Bangalore will conduct the JAM 2021 examination on February 14 in computer based mode. The application form of JAM 2021 had been released on September 10 in online mode. Candidates could register for the national-level examination through JAM Online Application Processing System (JOAPS) portal. The last date to apply for JAM 2021 entrance examination was October 17. The online process of admission is carried out on one single generated online portal called JAM Online Processing System (JOAPS). A total of 2894 seats will be offered at 20 IITs and IISc Bangalore for various programmes including M.Sc, Joint M.Sc-Ph.D, M.Sc PhD dual programme, integrated PhD, M.Sc-M.Tech and M.Sc-M.S (Research). IIT JAM 2021 will be held for seven papers-
- Biotechnology (BT)
- Chemistry (CY)
- Geology (GG)
- Mathematics (MA)
- Mathematical Sciences (MS)
- Physics (PH)
- Economics
Candidates could apply for one or two tests depending upon their eligibility for the same. Candidates who score equal to or above the qualifying cutoff are eligible to participate in the counselling that is common for the participating institutes. The result of JAM 2021 will be declared on March 20 and the scorecard will be released on March 27.
JAM News/ Updates
- IIT JAM 2021 application form last date extended to October 17
- IIT JAM 2021 to be organized by IISc Bangalore; Check details
- IISc Bangalore launches JAM 2021 portal; registration to begin from Sept 10
- IIT JAM 2021: Application form to be released today @JOAPS portal; check details
What is JAM?
Joint Admission Test for MSc programmes or JAM is a national level online entrance examination for admission to MSc and above other postgraduate level programmes offered by 20 IITs and IISc Bangalore. Every year, thousands of students appear for the entrane examination conducted by one of the participating institutes of IIT JAM. Last year, around 73,30 students registered for the examination and and 62654 candidates appeared on the day of examination. The duration of the entrance examination will be three hours. The entrance test takes place in around 70 JAM exam centres, which are assigned in 8 different IIT zones.
JAM 2021 Helpline
GATE-JAM Office
Indian Institute of Science, Bangalore
Bengaluru - 560012, Karnataka, India
Phone No.: 080-22932392
E-mail: jam@iisc.ac.in
JAM 2021 Highlights
| Full Exam Name | Joint Admission Test for M.Sc Programmes |
| Short Exam Name | JAM |
| Conducting Body | Indian Institute of Science Bangalore |
| Frequency of Conduct | Once a year |
| Exam Level | National Level Exam |
| Languages | English |
| Mode of Application | Online |
| Application Fee (General) | 1500 Rs [Online] |
| Mode of Exam | Online |
| Mode of Counselling | Online |
| Participating Colleges | 35 |
| Exam Duration | 3 Hours |
| Number of Seats | 2894 Seats |
JAM 2021 Important Dates
Upcoming Dates and Events
05 Jan, 2021
Admit Card | Mode: Online
14 Feb, 2021
Exam | Mode: Online
20 Mar, 2021
Result | Mode: Online
15 Apr, 2021 - 28 Apr, 2021
Admission FORM | Mode: Online
16 Jun, 2021
1st Admission List - Start Date | Mode: Online
01 Jul, 2021
2nd Admission List - Start Date | Mode: Online
16 Jul, 2021
3rd Admission List - Start Date | Mode: Online
Past Dates and Events
02 Nov, 2020 - 10 Nov, 2020
Application Correction | Mode: Online
10 Sep, 2020 - 17 Oct, 2020
Application | Mode: Online
Candidates wishing to apply for M.Sc programmes at the IITs and NITs must meet the eligibility criteria of JAM 2021. The eligibility criteria are different for each of the M.Sc programmes offered by the participating institutes.
JAM eligibility criteria are as follows
All candidates should have a Bachelor’s degree. Proof of graduation should be submitted by September 30, 2021.
General/OBC (NCL) candidates must have obtained at least 55% or 5.5 out of 10 CGPA/CPI in aggregate without rounding-off.
Marks must be calculated taking into account all subjects, including languages and subsidiaries for all years combined
SC/ST and PwD category candidates must have obtained at least 50% or 5.0 out of 10 in their graduation
Mode of Application : Online
Mode of Payment : Net Banking | Credit Card | Debit Card
The application form of JAM 2021 was made available from September 10, 2020. The last date to fill the application form was October 17. The JAM application process is completely online. IISc Bangalore has released the JAM application form on its candidate portal, JAM Online Application Processing System (JOAPS). The following details were to be entered in the application form-
- Personal Details
- Exam Centre Details
- Academic Details
While filling the JAM 2021 application form, it is mandatory for the candidates to upload the following documents-
- Class 10 mark sheet
- Class 12 mark sheet
- Qualifying degree certificate
- Photograph
- Signature
IIT JAM 2021 Application Form Fee
| Category | Application fee amount | Application For for two Subjects |
| General/ OBC | Rs. 1500 | Rs.2100 |
| SC/ST/PwD | Rs. 750 | Rs. 1050 |
| Female (all categories) | Rs. 750 | Rs. 1050 |
Application Fees
| Category | Quota | Mode | Gender | Amount |
|---|---|---|---|---|
| General | Online | Male | ₹ 1500 | |
| OBC | Online | Male, Female | ₹ 750 | |
| OBC, ST, SC | Online | Transgender | ₹ 750 | |
| General | PWD | Online | Transgender, Male, Female | ₹ 750 |
JAM E-books and Sample Papers
JAM 2020 Mathematical Statistics Question Paper
JAM 2020 Geology Question Paper
JAM 2021 Syllabus
JAM Biotechnology Syllabus
Biology
General biology |
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| Taxonomy; heredity; genetic variation; conservation; principles of ecology; evolution; techniques in modern biology |
Biochemistry and physiology |
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| Carbohydrates; proteins; lipids; nucleic acids; enzymes; vitamins; hormones; metabolism-glycolysis, TCA cycle, oxidative phosphorylation; photosynthesis |
| Nitrogen fixation, fertilization and osmoregulation; vertebrates-nervous system; endocrine system; vascular system; immune system; digestive system and reproductive system |
Basic biotechnology |
|---|
| Tissue culture; application of enzymes; antigen-antibody interaction; antibody production; diagnostic aids |
Molecular biology |
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| 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 |
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| Isolation; cultivation; structural features of virus; bacteria; fungi; protozoa; pathogenic micro-organisms |
Chemistry
Atomic structure |
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| Bohr's theory and Schrodinger wave equation |
Periodicity in properties |
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Chemical bonding |
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Properties of s, p, d, and f block elements |
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Complex formation |
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Coordination compounds |
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Chemical equilibria |
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Chemical thermodynamics (first and second law) |
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Chemical kinetics (zero, first, second, and third order reactions) |
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Photochemistry |
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Electrochemistry |
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Acid-base concepts |
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Stereochemistry of carbon compounds |
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Inductive, electromeric, conjugative effects and resonance |
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Chemistry of functional groups |
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| 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 |
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Soaps and detergents |
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Synthetic polymers |
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Biomolecules |
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| Amino acids, proteins, nucleic acids, lipids and carbohydrates (polysaccharides) |
Instrumental techniques |
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| Chromatography (TLC, HPLC), electrophoresis, UV-Vis, IR and NMR spectroscopy, mass spectrometry |
Sets |
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Relations and Functions |
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Mathematical induction |
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Mathematics
Logarithms |
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Complex numbers |
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Linear and quadratic equations |
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Sequences and series |
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Trigonometry |
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Cartesian system of rectangular coordinates |
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Straight lines and family |
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Circles |
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Conic sections |
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Permutations and combinations |
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Binomial theorem |
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Exponential and logarithmic series |
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Mathematical logic |
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Statistics |
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Three dimensional geometry |
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Vectors |
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Matrices and determinants |
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Boolean algebra |
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Probability |
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Functions |
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Limits and continuity |
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Differentiation |
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Application of derivatives |
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Definite and indefinite integrals |
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Differential equations |
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Physics
Physical world and measurement |
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Elementary statics and dynamics |
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Kinematics |
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Laws of motion |
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Work |
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Energy, and power |
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Electrostatics |
|---|
Current electricity |
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Magnetic effects of current and magnetism |
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Electromagnetic induction and alternating current |
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Electromagnetic waves |
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Optics |
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Dual nature of matter and radiation |
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Atomic nucleus |
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Solids and semiconductor devices |
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Principles of communication |
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Motion of system of particles and rigid body |
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Gravitation |
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Mechanics of solids and fluids |
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Heat and thermodynamics |
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Oscillations |
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Waves |
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JAM Chemistry Syllabus
Chemistry-Physical chemistry
Basic mathematical concepts |
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| Functions; maxima and minima; integrals; ordinary differential equations; vectors and matrices; determinants; elementary statistics and probability theory |
Atomic and molecular structure |
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| Fundamental particles; Bohr's theory of hydrogen-like atom; wave-particle 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 |
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| Equation of state for ideal and non-ideal (Van der Waals) gases; kinetic theory of gases; Maxwell-Boltzmann distribution law; equipartition of energy |
Solid state |
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| Crystals and crystal systems; X-rays; NaCl and KCl structures; close packing; atomic and ionic radii; radius ratio rules; lattice energy; Born-Haber cycle; isomorphism; heat capacity of solids |
Chemical thermodynamics |
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| Reversible and irreversible processes; first law and its application to ideal and non-ideal gases; thermochemistry; second law; entropy and free energy; criteria for spontaneity |
Chemical and phase equilibria |
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| 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 one-component and two-component 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; Debey-Huckel-Onsager theory of strong electrolytes |
Chemical kinetics |
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| Reactions of various order; Arrhenius equation; collision theory; transition state theory; chain reactions-normal and branched; enzyme kinetics; photochemical processes; catalysis |
Adsorption |
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| Gibbs adsorption equation; adsorption isotherm; types of adsorption; surface area of adsorbents; surface films on liquids |
Spectroscopy |
|---|
| Beer-Lambert law; fundamental concepts of rotational, vibrational, electronic and magnetic resonance spectroscopy |
Chemistry-Organic chemistry
Basic concepts in organic chemistry and stereochemistry |
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| 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/ n-propane/ n-butane) and cyclic systems (mono- and di-substituted cyclohexanes) |
Organic reaction mechanism and synthetic applications |
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| Chemistry of reactive intermediates (carbocations, carbanions, free radicals, carbenes, nitrenes, benzynes, etc); Hofmann-Curtius-Lossen rearrangement, Wolff rearrangement, Simmons-Smith reaction, Reimer-Tiemann reaction, Michael reaction |
| Darzens reaction, Wittig reaction and McMurry reaction; Pinacol-pinacolone, Favorskii, benzilic acid rearrangement, dienone-phenol rearrangement, Baeyer-Villeger reaction; oxidation and reduction reactions in organic chemistry |
| Organometallic reagents in organic synthesis (Grignard, organolithium, and organocopper); Diels-Alder, electrocyclic and sigmatropic reactions; functional group inter-conversions and structural problems using chemical reactions |
Qualitative organic analysis |
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| Identification of functional groups by chemical tests; elementary UV, IR and 1H NMR spectroscopic techniques as tools for structural elucidation. |
Natural products chemistry |
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| Chemistry of alkaloids, steroids, terpenes, carbohydrates, amino acids, peptides and nucleic acids |
Aromatic and heterocyclic chemistry |
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| Monocyclic, bicyclic, and tricyclic aromatic hydrocarbons, and monocyclic compounds with one hetero atom: Synthesis, reactivity, and properties |
Chemistry-Inorganic chemistry
Periodic table |
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| Periodic classification of elements and periodicity in properties; general methods of isolation and purification of elements |
Chemical bonding and shapes of compounds |
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| 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) |
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| General concepts on group relationships and gradation in properties; structure of electron deficient compounds involving main group elements |
Transition metals (d block) |
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| 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 |
| Colour 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 |
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| 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 UV-vis spectrophotometry; analysis of water, air and soil samples |
Analytical chemistry |
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| Principles of qualitative and quantitative analysis; acid-base, oxidation-reduction and complexometric titrations using EDTA; precipitation reactions; use of indicators; use of organic reagents in inorganic analysis; radioactivity; nuclear reactions |
| Applications of isotopes |
JAM Geology Syllabus
Geology
The planet earth |
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| Origin of the solar system and the Earth; geosphere and the composition of the Earth; shape and size of the earth; Earth-moon 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 |
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| Weathering and erosion; transportation and deposition due to wind, ice, river, sea, and resulting landforms, structurally controlled landforms |
Structural geology |
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| 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 bore-holes |
Palaeontology |
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| 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 |
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| Principles of stratigraphy; litho-, chrono-, and biostratigraphic classification; distribution and classification of the stratigraphic horizons of India from Archaean to recent |
Mineralogy |
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| Symmetry and forms in common crystal classes; physical properties of minerals; isomorphism and polymorphism, classification of minerals; structure of silicates; mineralogy of common rock-forming minerals; mode of occurrence of minerals in rocks |
| Transmitted polarised light microscopy and optical properties of uniaxial and biaxial minerals |
Petrology |
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| Definition and classification of rocks; igneous rocks-forms 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 |
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| 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 non-metallic mineral deposits; coal and petroleum occurrences in India |
Applied geology |
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| Ground water; principles of engineering geology |
JAM Mathematics Syllabus
Mathematics
Sequences and series of real numbers |
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| Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass 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 real variable |
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| 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 |
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| Limit, continuity, partial derivatives, differentiability, maxima and minima |
Integral calculus |
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| 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 |
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| 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, Cauchy-Euler equation |
Vector calculus |
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| Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes and Gauss theorems |
Group theory |
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| Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups |
Linear algebra |
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| Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem |
| Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues and eigenvectors for matrices, Cayley-Hamilton theorem |
Real analysis |
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| 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 |
| Term-wise differentiation and integration of power series |
JAM Mathematical Statistics Syllabus
Mathematics
Sequences and series |
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| Convergence of sequences of real numbers, comparison, root and ratio tests for convergence of series of real numbers |
Differential calculus |
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| 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 |
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| Fundamental theorems of integral calculus |
| Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes. |
Matrices |
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| Rank, inverse of a matrix |
| Systems of linear equations |
| Linear transformations, eigenvalues and eigenvectors |
| Cayley-Hamilton theorem, symmetric, skew-symmetric and orthogonal matrices |
Statistics
Probability |
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| Axiomatic definition of probability and properties, conditional probability, multiplication rule |
| Theorem of total probability |
| Baye's theorem and independence of events |
Random variables |
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| 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 |
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| Binomial, negative binomial, geometric, Poisson, hypergeometric, uniform, exponential, gamma, beta and normal distributions |
| Poisson and normal approximations of a binomial distribution |
Joint distributions |
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| 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 |
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| Chi-square, T and F distributions, and their properties |
Limit theorems |
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| Weak law of large numbers |
| Central limit theorem (i.i.d. with finite variance case only) |
Estimation |
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| Unbiasedness, consistency and efficiency of estimators, method of moments and method of maximum likelihood |
| Sufficiency, factorization theorem |
| Completeness, Rao-Blackwell and Lehmann-Scheffe theorems, uniformly minimum variance unbiased estimators |
| Rao-Cramer inequality |
| Confidence intervals for the parameters of univariate normal, two independent normal, and one parameter exponential distributions |
Testing of hypotheses |
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| Basic concepts, applications of Neyman-Pearson Lemma for testing simple and composite hypotheses |
| Likelihood ratio tests for parameters of univariate normal distribution |
JAM Physics Syllabus
Physics
Mathematical methods |
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| 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 |
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| 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 non-conservative 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 |
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| 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 one-dimension |
| 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 |
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| 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 |
| Biot-Savart 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 tri-atomic gases |
| Ideal gas, Van-der-Waals 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 quasi-static processes |
| Second law and entropy |
| Carnot cycle |
| Maxwell's thermodynamic relations and simple applications |
| Thermodynamic potentials and their applications |
| Phase transitions and Clausius-Clapeyron equation |
| Ideas of ensembles, Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein 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, X-rays |
| Wave-particle 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 |
| X-ray diffraction and Bragg's law; intrinsic and extrinsic semiconductors, variation of resistivity with temperature |
| Fermi level |
| p-n junction diode, I-V characteristics, Zener diode and its applications, BJT: Characteristics in CB, CE, CC modes |
| Single stage amplifier, two stage R-C coupled amplifiers |
| Simple oscillators: Barkhausen condition, sinusoidal oscillators |
| OPAMP and applications: Inverting and non-inverting 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 |
JAM Economics Syllabus
Economics
Microeconomics |
|---|
| Consumer theory: Preference, utility and representation theorem, budget constraint, choice, demand (ordinary and compensated), Slutsky equations, choice under risk and uncertainty, revealed preference axioms |
| Production, costs with perfectly competitive markets: Technology, isoquants, production with one and more variable inputs, returns to scale, short run and long run costs, cost curves in the short run and long run, perfect competition in markets |
| General equilibrium and welfare: Equilibrium and efficiency under pure exchange and production, welfare economics, theorems of welfare economics |
| Market structure: Monopoly, pricing with market power, price discrimination (first, second, and third), monopolistic competition and oligopoly |
| Game theory: Strategic form games, Nash equilibrium, mixed extension and mixed strategy Nash equilibrium, iterated elimination of dominated strategies, examples: Cournot, Bertrand duopolies, Prisoner's dilemma |
| Game theory: Cooperative game theory-Shapley value, Nash bargaining |
| Public goods and market failure: Externalities, public goods and markets with asymmetric information (adverse selection and moral hazard), VCG mechanism and transfer rules |
Macroeconomics |
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| National income accounting: Structure, key concepts, measurements, and circular flow of income-for closed and open economy, money, fiscal and foreign sector variables-concepts and measurements |
| Behavioural and technological functions: Consumption functions-absolute income hypothesis, life-cycle and permanent income hypothesis, investment functions-Keynesian, money demand and supply functions, production function |
| Business cycles and economic models: Business cycles-facts and features, the classical model of the business cycle. The Keynesian model of the business cycle, |
| Business cycles and economic models: Simple Keynesian cross model of income and employment determination and the multiplier (in a closed economy), IS-LM Model, Hicks' S-LM synthesis, role of monetary and fiscal policy |
| Business cycles and economic models (open economy): Open economy, Mundell-Fleming model, Keynesian flexible price (aggregate demand and aggregate supply) model, role of monetary and fiscal policy |
| Inflation and unemployment: Inflation-theories, measurement, causes, and effects, unemployment-types, measurement, causes, and effects |
| Growth models: Harrod-Domar, Solow and neo-classical growth models |
Statistics for economics |
|---|
| Probability theory, sample spaces and events, axioms of probability and their properties, conditional probability and Bayes' rule, independent events |
| Random variables and probability distributions, probability distributions, expected values and functions of random variables, properties of commonly used discrete and continuous distributions |
| Random sampling, density and distribution functions for jointly distributed random variables, computing expected values of jointly distributed random variables, covariance and correlation coefficients |
| Point and interval estimation, estimation of population parameters using methods of moments and maximum likelihood procedures, properties of estimators, confidence intervals |
| Hypothesis testing, distributions of test statistics, testing hypotheses related to population parameters, type I and type II errors, the power of a test, tests for comparing parameters from two samples |
Indian economy |
|---|
| Indian economy before 1950: Transfer of tribute, deindustrialization of India |
| Planning and Indian development: Planning models, relation between agricultural and industrial growth, challenges faced by Indian planning |
| Indian economy after 1991: Balance of payments crisis in 1991, major aspects of economic reforms in India after 1991, reforms in trade and foreign investment |
| Banking, finance, and macroeconomic policies: Aspects of banking in India, CRR and SLR, financial sector reforms in India, fiscal deficit, savings and investment rates in India |
| Inequalities in social development: India's achievements in health, education and other social sectors, disparities between Indian states in human development |
| Poverty: Methodology of poverty estimation, issues in poverty estimation in India |
| India's labour market: Unemployment, labour force participation rates |
Mathematics for economics |
|---|
| Preliminaries and functions of one real variable: a) Set theory and number theory, graphs, elementary types of functions: Quadratic, polynomial, power, exponential, logarithmic, sequences and series: Convergence, algebraic properties and applications |
| Preliminaries and functions of one real variable: b) Continuous functions-characterisations, properties with respect to various operations and applications |
| Preliminaries and functions of one real variable: c) Differentiable functions: Characterisations, properties with respect to various operations and applications, d) second and higher order derivatives: Properties and applications |
| Single-variable optimization: Geometric properties of functions-convex functions, their characterisations and applications, local and global optima: Geometric and calculus-based characterisations, and applications |
| Linear algebra: Vector spaces-algebraic and geometric properties, scalar products, norms, orthogonality, linear transformations: Properties, matrix representations and elementary operations, systems of linear equations: Properties of their solution sets |
| Linear algebra: Determinants-characterisation, properties and applications |
| Functions of several real variables: Geometric representations-graphs and level curves, differentiable functions: Characterisations, properties with respect to various operations and applications |
| Functions of several real variables: Second order derivatives-properties and applications, the implicit function theorem, and application to comparative statics problems, homogeneous and homothetic functions: Characterisations and applications |
| Multivariate optimization: Convex sets, geometric properties of functions: Convex functions, their characterisations, properties and applications |
| Multivariate optimization: Further geometric properties of functions-quasi-convex functions, their characterisations, properties and applications, unconstrained optimisation: Geometric characterisations, characterisations using calculus and applications |
| Multivariate optimization: Constrained optimisation with equality constraints-geometric characterisations, Lagrange characterisation using calculus and applications, properties of value function: Envelope theorem and applications |
| Linear programming: Graphical solution, matrix formulation, duality, economic interpretation |
| Integration, differential equations, and difference equations: Definite integrals, indefinite integrals and economic applications, first order difference equations, equilibrium and its stability, first order differential equations |
| Integration, differential equations, and difference equations: Phase diagrams and stability |
JAM Paper Pattern 2021 – Section-wise division
Sections/Types | Section A | Section B | Section C |
Number of Questions | 30 | 10 | 20 |
Duration | 3 hours | ||
Marks | 1 mark 10 questions 2 marks 20 questions | Each question carries 2 marks | 10 questions for 1 marks each 10 questions for 2 marks each |
Negative Marking | 1/3 of marks will be deducted for 1 mark questions and 2/3 marks will be deducted for 2 marks questions, | Negative marking will not be applicable | Negative marking will not be applicable |
Types of Question | Multiple Choice questions | Multiple Choice questions | No options will be displayed |
Mode of Exam | Online | Online | Online |
Total number of Question | 60 | ||
Total Marks | 100 | ||
IISc Bangalore will release the JAM 2021 admit card on January 5, 2021. Candidates can download the admit card of JAM 2021 by visiting the JOAPS portal. Only the registered candidates will be able to download the IIT JAM admit card. The admit card will be available to download till the exam date.
How to Download JAM Admit Card 2021
- Visit the official website.
- Click on 'Download JAM Admit card'
- Enter the login credentials (enrollment ID and Password/ JOAPS password)
- Evaluate the arithmetic expression or enter the captcha given.
- Click on the ‘Submit’ button
- A window displaying admit card will appear.
While downloading the admit card of JAM 2021 candidates must make sure to check for the following details-
- Name and D.O.B
- Photograph and signature uploaded
- Exam centre details
- Duration and session of examination
Candidates must make sure to follow the instructions mentioned in the IIT JAM admit card regarding the examination.
JAM 2021 Exam Centers
| State | City |
|---|---|
| Karnataka | Bengaluru |
| Hubli | |
| Mangalore | |
| Telangana | Hyderabad |
| Warangal | |
| Kerala | Kannur |
| Kozhikode | |
| Palakkad | |
| Thrissur | |
| Ernakulam | |
| Kollam | |
| Kottayam | |
| Thiruvananthapuram | |
| Gujarat | Ahmedabad |
| Vadodara | |
| Maharashtra | Mumbai |
| Nanded | |
| Nashik | |
| Pune | |
| Goa | Panjim |
| Haryana | Faridabad |
| Gurugram | |
| Hisar | |
| Kurukshetra | |
| Uttar Pradesh | Ghaziabad |
| Greater Noida | |
| Agra | |
| Allahabad | |
| Bareilly | |
| Kanpur | |
| Lucknow | |
| Varanasi | |
| Noida | |
| Moradabad | |
| Madhya Pradesh | Indore |
| Rajasthan | Jaipur |
| Jodhpur | |
| Jammu and Kashmir | Jammu |
| Delhi | New Delhi |
| West Bengal | Asansol |
| Kalyani | |
| Siliguri | |
| Kharagpur | |
| Kolkata | |
| Jharkhand | Dhanbad |
| Ranchi | |
| Assam | Dibrugarh |
| Guwahati | |
| Jorhat | |
| Bihar | Patna |
| Odisha | Bhubaneshwar |
| Chhattisgarh | Raipur |
| Andhra Pradesh | Vijayawada |
| Visakhapatnam | |
| Tamil Nadu | Chennai |
| Coimbatore | |
| Madurai | |
| Tiruchirappalli | |
| Tirunelveli | |
| Uttarakhand | Dehradun |
| Roorkee | |
| Punjab | Jalandhar |
| Mohali |
Documents Required at Exam
- JAM 2020 admit card
- Valid ID proof
IISc Bangalore will release the JAM 2021 result on March 20 in online mode. Candidates who have appeared for the entrance examination can check their JAM 2021 result by entering their email ID or enrolment ID and password. The result of JAM 2021 will be available only on the JOAPS portal.
How to check JAM Result 2021?
- Visit the official website off IIT JAM 2021 (jam.iisc.ac.in)
- Click on 'JAM Results 2021'
- Enter the login credentials such as enrolment ID or email ID and password.
- Type the given captcha and solve the arithmetic expression.
- Click on "Submit" tab.
- The result will appear on the screen.
Mode of Counselling: Online
The counselling of IIT JAM 2021 will be started with the release of the admission forms from April 15, 2021. Candidates who qualify the JAM 2021 exams can apply for the counselling process by filling the admission forms. The last date of filling and submitting JAM admission form 2021 will be April 28.
Documents to be submitted
- Class 10 and Class 12 Certificate
- Degree Marksheet (If completed)
- Qualifying Degree Certificate
- Marksheet until last semester attempted (If in Final Year)
- ID Proof (Passport/ Voters ID/ PAN/ Aadhaar Card)
- College Transfer Certificate
- Caste and reservation certificate (OBC (Non Creamy Layer)), SC, ST
- Valid Certificate for PwD candidates
- Birth Certificate
- Nationality Certificate (General Category)
JAM 2020 Counselling - Seat booking fees
| Category | Seat booking fee amount |
| General/ OBC (Non-Creamy Layer) | Rs. 10,000 |
| SC | Rs. 5,000 |
| ST | Rs. 5,000 |
| PH | Rs. 5,000 |
Documents Required at Counselling
- Class 10 and class 12 certificate
- Qualifying degree certificate
- Mark sheet until last semester attempted (if in final year)
- Degree mark sheet (if completed)
- Nationality certificate (general category)
- ID proof (passport/voters ID/PAN/aadhar)
- Birth certificate
- College transfer certificate
- Caste and reservation certificate (OBC-non creamy layer), SC, ST
- Valid certificate for PwD candidates
- Scorecard
General Information
Frequently Asked Questions (FAQs)
Question: When will the JAM 2021 application form be released?
Answer:
The application form of JAM 2021 had been released on September 10.
Question: When will the JAM mock test window be available?
Answer:
IISc Bangalore will open the IIT JAM mock test window in the third week of November.
Question: How many admission list will be released by IISc Bangaore?
Answer:
A total of three JAM 2021 admission list will be released by IISc Bangalore.
Question: What is JOAPS?
Answer:
Joint Online Application Processing System is an online system for the applicants of IIT JAM examination. Applicants can get all the information about the JAM admissions from registration to counselling on JOAPS portal, using their login credentials created during registration.
Question: How can I pay the JAM 2020 admission fee?
Answer:
Candidates can pay the JAM 2021 admission fee using the debit card, credit card or net banking through the payment gateway.
Question: Can I change my programme preferences after filling the JAM application form?
Answer:
Yes, candidates can change the JAM programmes preferences after filling the application form, but not only after the deadline of JAM application form submission.
Question: Who will conduct JAM 2021?
Answer:
IIT JAM 2021 will be conducted by Indian Institute of Science, Bangalore.
Question: Where will the JAM 2021 applicants receive the enrolment ID and password for JAM 2021?
Answer:
The conducting body will send the JAM 2021 login password and enrolment ID on the registered email ID and mobile number of the applicants.
Question: When will IISc Bangalore hold IIT JAM 2021?
Answer:
JAM 2021 will be conducted by IISc Bangalore on February 14.
Question: How many test papers are there for JAM 2021?
Answer:
There are six test papers for IIT JAM 2021, Physics, Mathematical Statistics, Chemistry, Biotechnology, Chemistry, Economics and Geology.
Question: Can I get the refund of JAM 2021 application fee?
Answer:
The application fee of IIT JAM 2021 is non refundable.
Question: Can I apply for admission to MSc programmes offered by NITs using JAM scores?
Answer:
JAM scores are also used for admission to MSc programmes offered by NITs and CFTIs through Centralized counselling for M. SC./M. SC. (TECH.) admission.
Question: How many participating institutes are there for JAM 2021?
Answer:
There are total 20 IITs and IISc Bangalore which will participate in JAM 2021 admission.
Question: When will the JAM 2021 counselling start?
Answer:
JAM counselling 2021 will start with the release of admission form on April 15 in online mode.
Question: Which institutes of JAM 2021 will offer MSc Economics programme?
Answer:
IIT Delhi an IIT Roorkee will offer MSc Economics programme through JAM 2021.
Questions related to JAM
what is exam date of jam 2021?
Hello aspirant,
Hope you are doing well,
As per the present announcement the exam for JAM will be on February 14 2021.
The tentative dates for JEE JAM are as below,
| Starting of online application form | 10th September 2020 |
| Last date of online application submission & uploading of documents | 17th October 2020 |
| Admit card release | 5th January 2021 |
| IIT JAM 2021 exam date | 14th February 2021 |
| Announcement of result | 20th March 2021 |
Hope this information helps,
Best of luck
Answer laterhello i am in bsc 3rd year and i want to appear for iit jam mathematics 2021.which iit is the best for msc in mathematics . and how much rank do i need to get into the best iit
Hello!
There are several IITs that provide MSc/M.Tech in Mathematics course and they accept IIT JAM scores for admission into this course.
- IIT-Delhi - M.Tech. in mathematics and computing
- IIT- Kharagpur - M. sc. degree in mathematics and computing.
- IIT - Roorkee - M. sc. in applied mathematics
- IIT-Kanpur - M. sc. in mathematics and scientific computing.
If you want to pursue research and PhD in the field of algebra and analysis, then go for IIT Kanpur, which is one of the oldest IITs and is best in this field. If you want to eleborate your career in applied maths, then IIT Delhi must be your destination.
The IIT Jam cutoff will differ according to your category. For general category, the cutoff for MSc Mathematics was around 33.65 in 2020. In IIT Delhi, the closing rank for Applied Mathematics was 1302 for general category, 1500 for IIT Kanpur, 1603 for IIT Kharagpur and 1804 for IIT Roorke. So, the overall idea is that you must secure a rank around 1200 to get best IITs for MSc Mathematics.
Some preparation tips for IIT JAM Mathematics:-
https://www.google.com/amp/s/university.careers360.com/articles/how-prepare-jam-mathematics/amp
Hope this helps!
what is difference between IIT Delhi MSc economics entrance exam and IIT jam MSc eco exam
Hey!
Master of Science in Economics in Indian Institute of Technology Delhi follows an application process which is: Eligible candidates can apply for the programme only through JAM 2021 (https://jam.iisc.ac.in/).
JAM 2021 or Joint Admission Test for Masters is an admission test conducted every year for admission for Master of Science and other post-graduate science programs at the IITs, IISc, IISERs, NISER, Bhubaneswar, NITs, etc.
Thank you.
can u pls suggest me book for iit jam economics specially for maths and stats sections of MSc economics
Hello aspirant,
Integral calculus -Most of the questions are from definite integral. I referred Integral Calculus by Samvedna publications .
Differential calculus - Concentrate on Rolles theorem,Lagrange’s theorem, and Intermediate value theorem. Also focus on partial differentiation. I referred Differential equations by Samvedna publications .
Vector algebra - Concentrate on Stokes’ theorem, Divergence theorem and Greens’ theorem. Questions are asked from these topics only. I referred Vector calculus by Samvedna publications.
Differential calculus - This is the easiest topic. Only ordinary differential equations is in the syllabus. I referred Differential calculus by Samvedna publications.
Linear algebra -Questions are mostly application oriented.You can either refer Linear algebra by Hoffman and Kunze (which gives a strong theoretical foundation but lacks examples and exercises for practice) or Linear algebra by Gilbert Strang( which is more application oriented and has a lot of exercises for practice).If your sole aim is to crack JAM go for the latter. But if you also want to build a strong foundation,go for the first one.
which course has more scope and better placements among MSc mathematics,MSc mathematical statistics and MSc economics from IIT jam delhi
Hey
The courses that you mentioned that are masters in mathematics, mathematical statistics and economics are all popular courses and high demand. The scope is somewhat similar for all these as they candidates who have a masters degree in all the respective courses are needed in field of applied sciences, finance and investment, statistical department etc.
Hence, it is not a one course that can have a better placements but an overall academic record of a students that will make him/her get placed in a company.
Hope you understood. Thank you.
