SRMJEEE 2024 - SRM Joint Engineering Entrance Examination : Application Form, Exam Date, Eligibility, Syllabus and Exam Pattern

No. of Questions

35

35

40

10

5

125

Syllabus for Mathematics

Unit I: Sets, Relations, and Functions Sets and their representations, union, intersection, and complements of sets & their algebraic properties, relations, equivalence relations, mappings, one-one, into, and onto mappings, the composition of mappings.

Unit V: Quadratic Equations Quadratic equations in real and complex number system and their solutions. The relation between roots and coefficients, the nature of roots, the formation of quadratic equations with given roots; symmetric functions of roots, and equations reducible to quadratic equations.

Unit VIII: Binomial theorem and its Applications Binomial theorem for a positive integral index; general term and middle term; Binomial theorem for any index. Properties of binomial coefficients. Simple applications for approximations.

Unit X: Differential Calculus Polynomials, rational, trigonometric, logarithmic, and exponential functions. Inverse functions.

Graphs of simple functions. Limits, continuity, differentiation of the sum, difference, product, & quotient of two functions, differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, & implicit functions, derivatives of order up to two.

Unit XI: Applications of Differential Calculus Rate of change of quantities, monotonic-increasing and decreasing functions, maxima and minima of functions of one variable, tangents, and normals, Rolle’s and Lagrange’s mean value theorems.

Unit XII: Integral Calculus Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions.

Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Integral as the limit of a sum. Properties of definite integrals. Evaluation of definite integrals; Determining areas of the regions bounded by simple curves.

Unit XIII: Differential Equations Ordinary differential equations, their order, and degree. Formation of differential equations.

The solution of differential equations by the method of separation of variables. Solution of homogeneous and linear differential equations and those of the type d2y / dx2 = f(x).

Unit XIV: Straight Lines in Two Dimensions Cartesian system of rectangular co-ordinates in-plane, distance formula, area of a triangle, condition for the collinearity of three points and section formula, centroid and in-center of a triangle, locus and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, and the distance of a point from a line.

Unit XV: Circles in Two Dimensions Standard form of the equation of a circle, the general form of the equation of a circle, its radius, and center, equation of a circle in the parametric form, equation of a circle when the end-points of a diameter are given, points of intersection of a line and a circle with the center at the origin and condition for a line to be tangent to the circle, length of the tangent, equation of the tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.

Unit XX: Trigonometry Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles, including, incentre, circumcenter, and orthocenter, are the solution of triangles.

Syllabus for Physics:

Unit II: Mechanics Motion in one dimension-uniform and non-uniform motion-uniformly accelerated motion-scalar and vector quantities-Newton’s laws of motion-force and inertia-impulse and momentum-law of conservation of linear momentum-applications-motions in two dimension – projectile motion. Uniform circular motion-centripetal force-center of mass-torque angular momentum and its conservation-moment of inertia-theorems of the moment of inertia-work-energy-potential energy and kinetic energy power – collision-elastic and inelastic collisions.

Unit III: Gravitation, Mechanics of Solids and Fluids the universal law of gravitation, acceleration due to gravity-variation of ‘g’ with altitude, latitude, and depth-gravitation potential-escape velocity and orbital velocity-geostationary satellites. Solids-elastic behavior, stress-strain-Hooke’s law-Moduli of elasticity-relation between the surface tension-capillarity-applications-viscosity-Poiseuille’s formula – Stokes law-applications-Bernoulli’s theorem- applications.

Unit V: Heat and Thermodynamics Kinetic theory of gases-postulates-pressure of a gas-specific heat capacity-relation between Cp and Cv-first law of thermodynamics thermodynamical processes-isothermal and adiabatic-reversible and irreversible process-second law of thermodynamics-Carnot’s engine – Heat transfer-conduction-convection-radiation-thermal conductivity of solids-black body radiations-Kirchoff’s law-Wien’s displacement saw Stefan's law newton's law of cooling.

Unit VI: Ray and Wave Optics and Magnetism Reflection and refraction of light-total internal reflection-velocity of light determination-deviation and dispersion of light by a prism-wave nature of light-interference-Young’s double-slit experiment-diffraction and polarization.

Earth’s magnetic field and magnetic elements-magnetic field due to a magnetic dipole-torque on a magnetic dipole-tangent law tangent galvanometer-deflection magnetometer-magnetic properties of a material-dia, para, and ferromagnetic materials-applications.

Unit VIII: Atomic Physics and Relativity Atomic structure-properties of cathode rays and positive rays-specific charge of an electron-atom model-Thomson atom model-Rutherford atom model-Bohr atom model-merits and demerits-quantum numbers-X-rays-production-properties-Bragg’s law-Bragg’s X-ray spectrometer-Photoelectric effect-laser-spontaneous and stimulated emission-laser action-characteristics of laser light-ruby laser-applications of laser relativity einstein's mass-energy relation-variation of mass with velocity.

Unit IX: Dual Nature of Matter and Nuclear Physics Matter waves-wave nature of particles-De Broglie wavelength-electron microscope.

Nuclear properties; radius, mass, binding energy, density, isotopes, mass defect- Bainbridge mass spectrometer-nuclear force neutrons discovery-radioactivity-a, b and g decay-half life and mean life-artificial radio activity-radio isotopes-radio carbon dating-radiation hazards. Nuclear fission-nuclear reactor-nuclear fusion-hydrogen bomb cosmic rays-elementary particles.

Unit X: Electronics and Communication Semiconductors-doping-types-PN junction diode-biasing-diode as a rectifier-transistors-transistor characteristics-amplifier-gain-feedback in amplifiers-logic gates-basic logic gates-NOT, OR, AND, NOR, NAND-universal gates-De Morgan’s theorems-space communication propagation of electromagnetic waves in atmosphere-sky and space wave propagation-modulation types-demodulation-microwaves-radars.

Syllabus of Chemistry

Unit I: Some Basic Concepts in Chemistry Matter and its nature, Dalton’s atomic theory; the concept of the atom, molecule, element, and compound; physical quantities and their measurements in Chemistry, precision, and accuracy, significant figures, S.I. Units, dimensional analysis; Laws of chemical combination; atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae; Chemical equations and stoichiometry.

Unit II: States of Matter Classification of matter into solid, liquid, and gaseous states.

Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Bragg’s Law and its applications; unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, an imperfection in solids; electrical, magnetic and dielectric properties.
Liquid State: Properties of liquids – vapor pressure, viscosity, and surface tension and effect of temperature on them (qualitative treatment only).

Gaseous State: Measurable properties of gases; Gas laws-Boyle’s law, Charle’s law, Graham’s law of diffusion, Avogadro’s law, Dalton’s law of partial pressure; concept of absolute scale of temperature; ideal gas equation, kinetic theory of gases (only postulates); the concept of average, root mean square and most probable velocities; Real gases, deviation from ideal behavior, compressibility factor, Van der Waals equation, liquefaction of gases, critical constants.

Unit III: Chemical Families-Periodic Properties Modern periodic law and present form of the periodic table, s & p block elements, periodic trends in properties of elements, atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity.

Transition elements-d-block elements, inner transition elements-f-block elements. Periodic trends in properties-ionization energy, electron affinity atomic radii, ionic radii and periodicity, lanthanides and actinides-general characteristics.

Coordination Chemistry: Coordination compounds, nomenclature: terminology – Werner’s coordination theory. Applications of coordination compounds.

Unit IV: Atomic Structure Discovery of sub-atomic particles (electron, proton, and neutron); Thomson and Rutherford atomic models and their limitations; nature of electromagnetic radiation, photoelectric effect; the spectrum of the hydrogen atom, Bohr model of hydrogen atom-its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr’s model; dual nature of matter, De-Broglie’s relationship, Heisenberg uncertainty principle.

Elementary ideas of quantum mechanics, a quantum mechanical model of an atom, its important features, and 2, the concept of atomic orbitals as one-electron wave functions; Variation of and 2 with r for 1s and 2s orbitals; various quantum numbers (principal, angular momentum and magnetic quantum numbers) and their significance; shapes of s, p and d-orbitals, electron spin and spin quantum number; rules for filling electrons in orbitals-Aufbau principle, Pauli’s exclusion principle and Hund’s rule, electronic configuration of elements, extra stability of half-filled and completely filled orbitals.

Unit V: Chemical Bonding and Molecular Structure Covalent Bonding: Concept of electronegativity, Fagan’s rule, dipole moment; Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules.

Quantum mechanical approach to covalent bonding: Valence bond theory-Its important features, the concept of hybridization involving s, p, and orbitals; resonance.

Molecular orbital theory-Its important features, LCAOs, types of molecular orbitals (bonding, antibonding), sigma and pi-bonds, molecular orbital electronic configurations of homonuclear diatomic molecules, the concept of bond order, bond length, and bond energy. Elementary idea of metallic bonding. Hydrogen bonding and its applications.

Unit VI: Chemical Energetics Energy changes during a chemical reaction, internal energy and enthalpy, internal energy and enthalpy changes, the origin of enthalpy change in a reaction, Hess’s law of constant heat summation, numerical, based on these concepts. Enthalpies of reactions (enthalpy of neutralization, enthalpy of combustion, enthalpy of fusion, and vaporization).

Unit VII: Chemical Thermodynamics First law of thermodynamics-Concept of work, heat internal energy and enthalpy, heat capacity, molar heat capacity; Hess’s law of constant heat summation; enthalpies of bond dissociation, combustion, formation, atomization, sublimation, phase transition, hydration, ionization, and solution.

The second law of thermodynamics-Spontaneity of processes; DS of the universe and DG of the system as criteria for spontaneity, DGo (Standard Gibbs energy change), and equilibrium constant.

Unit VIII: Solutions Different methods for expressing the concentration of solution-Molality, molarity, mole fraction, percentage (by volume and mass both), the vapor pressure of solutions and Raoult’s law-ideal and non-ideal solutions, vapor pressure-composition, plots for ideal and non-ideal solutions; colligative properties of dilute solutions-relative lowering of vapor pressure, depression of freezing point, the elevation of boiling point and osmotic pressure; determination of molecular mass using colligative properties; Abnormal value of molar mass, Can't Hoff factor and its significance.

Unit IX: Chemical Equilibrium Meaning of equilibrium, the concept of dynamic equilibrium. Equilibria involving physical processes: Solid-liquid, liquid-gas, and solid-gas equilibria, Henry’s law, general characteristics of equilibrium involving physical processes.

Equilibria involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, the significance of DG and DGo in chemical equilibria, factors affecting equilibrium concentration, pressure, temperature, the effect of catalyst; Le Chatelier’s principle.

Unit X: Electrochemistry Electrolytic and metallic conduction, conductance in electrolytic solutions, specific and molar conductivities and their variation with concentration: Kohlrausch’s law and its applications.

Electrochemical cells-Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half-cell and cell reactions, emf of a galvanic cell and its measurement; Nernst equation and its applications; the relationship between cell potential and Gibbs’ energy change; dry cell and lead accumulator; fuel cells; corrosion and its prevention.

Unit XI: Surface Chemistry, Chemical Kinetics, and Catalysis Adsorption-Physisorption and chemisorption and their characteristics, factors affecting the adsorption of gases on solids-Freundlich and Langmuir adsorption isotherms, adsorption from solutions.

Catalysis-Homogeneous and heterogeneous, activity and selectivity of solid catalysts, enzyme catalysis, and its mechanism.

Colloidal state-Distinction among true solutions, colloids, and suspensions, classification of colloids-lyophilic, lyophobic; multi-molecular, macromolecular, and associated colloids (micelles), preparation and properties of colloids-Tyndall effect, Brownian movement, electrophoresis, dialysis, coagulation, and flocculation; Emulsions and their characteristics.

Unit XII: Purification and Characterisation of Organic Compounds Purification-Crystallization, sublimation, distillation, differential extraction, and chromatography principles and their applications.

Qualitative analysis-Detection of nitrogen, sulfur, phosphorus, and halogens. Quantitative analysis (basic principles only)-Estimation of carbon, hydrogen, nitrogen, halogens, sulfur, and phosphorus.

Calculations of empirical formulae and molecular formulae; Numerical problems in organic quantitative analysis.

Unit XIII: Some Basic Principles of Organic Chemistry Tetravalency of carbon; shapes of simple molecules-hybridization (s and p); classification of organic compounds based on functional groups: -C=C-,-C? C- and those containing halogens, oxygen, nitrogen, and sulfur; homologous series; isomerism-structural and stereoisomerism.

Nomenclature (Trivial and IUPAC)

Covalent bond fission- Homolytic, and heterolytic: free radicals, carbocations, and carbanions; stability of carbocations and free radicals, electrophiles, and nucleophiles.

Unit XIV: Hydrocarbons Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties, and reactions.

Alkanes-Conformations: Sawhorse and Newman projections (of ethane); Mechanism of halogenation of alkanes.

Alkenes-Geometrical isomerism; mechanism of electrophilic addition:

addition of hydrogen, halogens, water, hydrogen halides (Markownikoff’s and peroxide effect); ozonolysis, oxidation, and polymerization. Alkynes-Acidic character; the addition of hydrogen, halogens, water, and hydrogen halides; polymerization. Aromatic hydrocarbons

Unit XV: Organic Compounds Containing Oxygen General methods of preparation, properties, reactions and uses. Alcohols: Identification of primary, secondary, and tertiary alcohols; mechanism of dehydration.

Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration, and sulphonation, Reimer-Tiemann reaction. In addition to >C=O group, relative reactivities of aldehydes and ketones Ethers: Structure.

Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic-Nucleophilic addition reactions (addition of HCN, NH3, and itsClemmensen); the acidity of hydrogen, aldol condensation, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones. Carboxylic acids: Acidic strength and factors affecting it.

Unit XVII: Polymers General introduction and classification of polymers, general methods of polymerization-addition and condensation, copolymerization; natural and synthetic rubber and vulcanization; some important polymers with emphasis on their monomers and use – polyethylene, nylon, polyester, and bakelite.

Unit XVIII: Bio Molecules Carbohydrates-Classification: aldoses and ketoses; monosaccharides (glucose and fructose), constituent monosaccharides of oligosaccharides (sucrose, lactose, maltose), and polysaccharides (starch, cellulose, glycogen).

Proteins-Elementary Idea of amino acids, peptide bonds, polypeptides; proteins: primary, secondary, tertiary, and quaternary structure (qualitative idea only), denaturation of proteins, enzymes.

Unit XIX: Chemistry in Everyday Life Chemicals in medicines- Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids.

Antihistamines-their meaning and common examples. Chemicals in food preservatives, and artificial sweetening agents-common examples. Cleansing agents-Soaps and detergents, cleansing action.

Syllabus for Biology:

Botany

Unit I: Taxonomy of Angiosperm Types of classifications – Artificial, Natural, Phylogenetic – Biosystematics – Binomial Nomenclature – Herbaria and their uses – Bentham and Hooker’s classification of plants – Families Malvaceae, Solanaceae – Euphorbiaceae, Musaceae, and Economic Importance.

Unit III: Cell Biology and Genetics Chromosomes – Structure and types – genes and genome – Linkage and crossing over – Gene mapping – recombination of chromosomes – mutation – the chromosomal aberration – DNA as genetical material – Structure of DNA – replication of DNA – Structure of RNA and its type.

Unit V: Plant Physiology Photosynthesis – Significance – site of photosynthesis – photochemical and biosynthetic phases – electron transport system – cyclic and non-cyclic photophosphorylation – C3 and C4 pathway – photorespiration – factor affecting photosynthesis – mode of nutrition – autotrophic – heterotropic – saprophytic – parasitic and insectivorous plants – chemosynthesis – respiration – mechanism of glycolysis – Krebs cycle – pentose pathway – anaerobic respiration – respiratory quotient

Zoology

Unit I: Human Physiology Nutrition – introduction – carbohydrates – proteins – lipids – vitamins mineral – water – Balanced diet – calorie value – (ICBM standard )- obesity – Hyperglycemia – hypoglycemia – malnutrition. Digestion – enzymes and enzyme action – Brief account of following – Dental caries – Root canal therapy – peptic ulcer-Hernia-Appendicitis – Gallbladder stone – Liver cirrhosis – Hepatitis.

Unit II: Microbiology

Introduction-History of medical microbiology-The influence of Pasteur, Koch, and Lister-Virology-structure Genetics culture and diseases-AIDS and its control-Bacteriology structure, Genetics and diseases-protozoan microbiology-Diseases oriented-pathogenicity of micro organism-anti microbial resistance chemotherapy.

Unit III: Immunology

Innate immunity (Nonspecific)- anatomical Barriers-Physiological barriers-phagocytic barriers Lymphoidal organs-Thymus- Bursa of Fabricius-Peripheral Lymphoid organs-Lymph nodes-Spleen-antibodies immune globulins-regions of polypeptide chain-Transplantation immunology-classification of the grafts-Genetic basis of the organ transplant immune system disorder.

Unit IV: Modern Genetics

Introduction-scope-Human Genetics Karyotyping Chromosome gene mapping-Recombinant DNA technology and segmenting- genetic diseases – Human genome project-cloning- Transgenic organisms- Genetically modified organism(GMO)-Gene therapy-Bio informatics application DNA Sequencing and protein structure-Biological database.

Unit V: Environmental Science

Human population and explosion-issue-Global Warming Crisis – Greenhouse effect – Ozone layer depletion- waste management- Biodiversity conservation (Biosphere reserve) Government and non-governmental organizations involved-Energy crisis and environmental impact-poverty and environment-Freshwater crisis and management.

Unit VI: Applied Biology

Livestock and management Dairy-Breed of cattle-Miltch breed-Drought breed Dual purpose-common diseases and control-Exotic and cross breeds-Techniques adapted in cattle breeding.

Medical lab techniques-stethoscope-sphygmomanometer Haemocytometer-urine sugar analysis-ECG-PQRST Wave CT Scan-Endoscopic (Laparoscopic) techniques artificial pace maker-Auto analyzer.

Unit VII: Theories of Evolution Lamarckism-Darwinism-Neo-Darwinism/Modern concept of natural selection- species of concept-origin of species and isolating mechanism.