SRMEE Important Dates
SRMEE 2014 Mathematics Syllabus
PART 3 – MATHEMATICS (35 Questions)
UNIT 1: Sets, Relations and Functions
Sets and their representations, union, intersection and complements of sets and their algebraic properties, relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
UNIT 2: Complex Numbers
Complex numbers in the form a+ib and their representation in a plane. Argand diagram. Algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number. Cube roots of unity, triangle inequality.
UNIT 3: Matrices and Determinants
Determinants and matrices of order two and three, properties of determinants, evaluation of determinants. Addition and multiplication of matrices, adjoint and inverse of matrix.
UNIT 4: Applications of Matrices and Determinants
Computing the rank of a matrix-test of consistency and solution of simultaneous linear equations using determinants and matrices.
UNIT 5: Quadratic Equations
Quadratic equations in real and complex number system and their solutions. Relation between roots and coef cients, nature of roots, formation of quadratic equations with given roots; symmetric functions of roots, equations reducible to quadratic equations.
UNIT 6: Permutations and Combinations
Fundamental principle of counting: permutation as an arrangement and combination as selection, meaning of P(n,r) and C(n,r). Simple applications.
UNIT 7: Mathematical Induction and its Applications
Stating and interpreting the principle of mathematical induction. Using it to prove formula and facts.
UNIT 8: 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 coeffi cients. Simple applications for approximations.
UNIT 9: Sequences and Series
Arithmetic, geometric and harmonic progressions. Insertion of arithmetic, geometric and harmonic means between two given numbers. Relation between A.M., G.M. and H.M. arithmetic, geometric series, exponential and logarithmic series.
UNIT 10: Differential Calculus
Polynomials, rational, trigonometric, logarithmic and exponential functions. Inverse functions. Graphs of simple functions. Limits, continuity, differentiation of the sum, difference, product and quotient of two functions. differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions, derivatives of order up to two.
UNIT 11: Applications of Differential Calculus
Rate of change of quantities, onotonic – increasing and decreasing functions, maxima and minima of functions of one variable, tangents and normals, Rolle’s and Lagrange’s mean value theorems.
UNIT 12: 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 limit of a sum. Properties of de nite integrals. Evaluation of de nite integrals; Determining areas of the regions bounded by simple curves.
UNIT 13: Differential Equations
Ordinary differential equations, their order and degree. Formation of differential equations. 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 14: 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-centre of a triangle, locus and its equation, translation of axes, 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, distance of a point from a line. Equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines, homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent a pair of lines, point of intersection and angle between two lines.
UNIT 15: Circles in Two Dimensions
Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, 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 centre 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 16: Conic Sections in Two Dimensions
Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard form, condition for y = mx+c to be a tangent and point(s) of tangency.
UNIT 17: Vector Algebra
Vectors and scalars, addition of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, scalar and vector triple product. Application of vectors to plane geometry.
UNIT 18: Measures of Central Tendency and Dispersion
Calculation of mean, median and mode of grouped and ungrouped data. Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
UNIT 19: Probability
Probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability; Baye’s theorem, probability distribution of a random variate; binomial and poisson distributions and their properties.
UNIT 20: Trigonometry
Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles, including, incentre, circumcentre and orthocenter, solution of triangles.
SRMEE 2014 Chemistry Syllabus
PART 2 – CHEMISTRY (35 Questions)
UNIT 1: Some Basic Concepts in Chemistry
Matter and its nature, Dalton’s atomic theory; concept of atom, molecule, element and compound; physical quantities and their measurements in chemistry, precision and accuracy, signifi cant figures, S.I. Units, dimensional analysis; laws of chemical combination; atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae; chemical equations and stoichiometry.
UNIT 2: States of Matter
Classi cation of matter into solid, liquid and gaseous states.
Solid State: Classi cation 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, imperfection in solids; electrical, magnetic and dielectric properties.
Liquid State: Properties of liquids – vapour 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); concept of average, root mean square and most probable velocities; real gases, deviation from ideal behaviour, compressibility factor, Van der Waals equation, liquefaction of gases, critical constants.
UNIT 3: 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. Ionization energy, lanthanides and actinides-general characteristics.
Coordination Chemistry: Coordination compounds, nomenclature: terminology – Werner’s coordination theory. Applications of coordination compounds.
UNIT 4: 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; spectrum of hydrogen atom, Bohr model of hydrogen atom-its postulates, derivation of the relations for energy of the electron and radii of the different orbits, limitations of Bohr’s model; dual nature of matter, De-Broglie’s relationship, Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanical model of atom, its important features, various quantum numbers (principal, angular momentum and magnetic quantum numbers) and their signifi cance; shapes of s, p and d-orbitals, electron spin and spin quantum number; rules for lling electrons in orbitals–Aufbau principle, Pauli’s exclusion principle and Hund’s rule, electronic con guration of elements, extra stability of half-fi lled and completely fi lled orbitals.
UNIT 5: Chemical Bonding and Molecular Structure
Covalent bonding: Concept of electronegativity, Fajan’s rule, dipole moment; Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules.
Quantum mechanical approach to covalent bonding: Valence bond theory – Its important features, concept of hybridization involving s, p and d orbitals; resonance.
Molecular orbital theory – Its important features, LCAOs, types of molecular orbitals (bonding, anti-bonding), sigma and pi-bonds, molecular orbital electronic con figurations of homonuclear diatomic molecules, concept of bond order, bond length and bond energy. Elementary idea of metallic bonding. Hydrogen bonding and its applications.
Extractive metallurgy of sodium, lithium, properties of alkali metals, basic nature of oxides and hydroxides, compounds of alkaline earth metals, compounds of boron. Oxides, carbides, halides and sulphides of carbon group. Oxides-classi cation-acidic, basic, neutral, peroxide and amphoteric oxides.
UNIT 6: Chemical Energetics
First law of thermodynamics, Energy changes during a chemical reaction, internal energy and Enthalpy, 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 7: Chemical Thermodynamics
Second law of thermodynamics–Spontaneity of processes; ∆S of the universe and ∆G of the system as criteria for spontaneity, ∆Go (Standard Gibbs energy change) and equilibrium constant.
UNIT 8: Solutions
Different methods for expressing concentration of solution-Molality, molarity, mole fraction, percentage (by volume and mass both), vapour pressure of solutions and Raoult’s law-ideal and non-ideal solutions, vapour pressure-composition plots for ideal and non-ideal solutions; colligative properties of dilute solutions-relative lowering of vapour pressure, depression of freezing point, elevation of boiling point and osmotic pressure; determination of molecular mass using colligative properties; abnormal value of molar mass, Van’t Hoff factor and its signi cance.
UNIT 9: Chemical Equilibrium
Meaning of equilibrium, concept of dynamic equilibrium. Equilibria involving physical processes: Solid-liquid, liquid-gas and solid-gas equilibria, Henry’s law, Equilibria involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their signi cance, signi cance of ∆G and ∆Go in chemical equilibria, factors affecting equilibrium concentration, pressure, temperature, effect of catalyst; Le Chatelier’s principle. Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius, Bronsted-Lowry and Lewis) and their ionization, acid-base equilibria (including multistage ionization) and ionization constants, ionization of water, pH scale, common ion effect, hydrolysis of salts and pH of their solutions, solubility of sparingly soluble salts and solubility products, buffer solutions.
UNIT 10: Electrochemistry
Electrolytic and metallic conduction, conductance in electrolytic solutions, speci fic 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; dry cell and lead accumulator; fuel cells; corrosion and its prevention.
UNIT 11: Surface Chemistry, Chemical Kinetics and Catalysis
Adsorption-Physisorption and chemisorption and their characteristics, factors affecting 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, classi cation of colloids-lyophilic, lyophobic; multi molecular, macromolecular and associated colloids (micelles), preparation and properties of colloids-Tyndall effect, Brownian movement, electrophoresis, dialysis, coagulation and occulation; emulsions and their characteristics. Rate of reaction, instantaneous rate of reaction and order of reaction. Factors affecting rates of reactions – factors affecting rate of collisions encountered between the reactant molecules, effect of temperature on the reaction rate, concept of activation energy, catalyst. Rate law expression. Order of a reaction (with suitable examples). Units of rates and speci c rate constants. Order of reaction and effect of concentration (study will be con ned to rst order only). Theories of catalysis adsorption theory-some of important industrial process using catalysts.
Nuclear Chemistry: Radioactivity: isotopes and isobars: Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon datting; Stability of nuclei with respect to proton-neutron ratio; Brief discussion on ssion and fusion reactions.
UNIT 12: Purifi cation and Characterisation of Organic Compounds
Puri fication – Crystallization, sublimation, distillation, differential extraction and chromatography – principles and their applications.
Qualitative analysis – Detection of nitrogen, sulphur, phosphorus and halogens.
Quantitative analysis (basic principles only) – Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus. Calculations of empirical formulae and molecular formulae; numerical problems in organic quantitative analysis.
UNIT 13: Some Basic Principles of Organic Chemistry
Tetravalency of carbon; shapes of simple molecules-hybridization (s and p); classi cation of organic compounds based on functional groups: -C=C-, -CΞC- and those containing halogens, oxygen, nitrogen and sulphur; homologous series; isomerism-structural and stereoisomerism.
Nomenclature (Trivial and IUPAC)
Covalent bond fission – Homolytic and heterolytic: free radicals, carbocations and carbanions; stability of carbocations and free radicals, electrophiles and nucleophiles. Electronic displacement in a covalent bond-inductive effect, electromeric effect, resonance and hyperconjugation. Common types of organic reactions – Substitution, addition, elimination and rearrangement.
UNIT 14: Hydrocarbons
Classifi cation, 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; addition of hydrogen, halogens, water and hydrogen halides; polymerization. Aromatic hydrocarbons- nomenclature, benzene-structure and aromaticity; mechanism of electrophilic substitution: halogenation, nitration, Friedel-Craft’s alkylation and acylation, directive in uence of functional group in monosubstituted benzene.
UNIT 15: Organic Compounds Containing Oxygen
General methods of preparation, properties, reactions and uses.
Alcohols: Distinction of primary, secondary and tertiary alcohols; mechanism of dehydration. Reactions of hydroxyl derivatives.
Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration and sulphonation, Reimer-Tiemann reaction. Addition to >C=O group, relative reactivities of aldehydes and ketones.
Ethers: Structure.
Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition reactions (addition of HCN, NH3 and its derivatives), Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); acidity of-hydrogen, aldol condensation, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones.
Carboxylic acids: Reactions, Acidic strength and factors affecting it; reactions of acid derivatives.
UNIT 16: Organic Compounds Containing Nitrogen
General methods of preparation, properties, reactions and uses.
Amines: Nomenclature, classi fication, structure, basic character and identi fication of primary, secondary and tertiary amines and their basic character.
Diazonium salts: Importance in synthetic organic chemistry.
UNIT 17: Polymers
General introduction and classi fication 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 uses – polythene, nylon, polyester and bakelite.
UNIT 18: Biomolecules
Carbohydrates-Classifi cation: aldoses and ketoses; monosaccharides (glucose and fructose), constituent monosaccharides of oligosacchorides (sucrose, lactose, maltose) and polysaccharides (starch, cellulose, glycogen).
Proteins – Elementary Idea of amino acids, peptide bond, polypeptides; proteins: primary, secondary, tertiary and quaternary structure (qualitative idea only), denaturation of proteins, enzymes.
Vitamins – Classi cation and functions.
Nucleic acids – Chemical constitution of DNA and RNA. Biological functions of nucleic acids.
UNIT 19: Chemistry in Everyday Life
Chemicals in medicines-Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids.
Antihistamins-their meaning and common examples. Chemicals in food-preservatives, arti cial sweetening agents-common examples.
Cleansing agents–Soaps and detergents, cleansing action.
SRMEE 2014 Important Dates
| Last date for receipt offilled-in application | 15th March 2014 |
| Entrance Examination (a) Paper-pencil examination (b) Online examination | 27th April 2014 17th to 22nd April 2014 |
| Publication of rank list & counseling schedule | 3rd May 2014 |
| Counseling for admission to B.Tech | 17th to 24th May 2014 |
| Counseling for admission to Undergraduate programs in Health Sciences | 24th May 2014 |
| Last date for receipt of NATA score and higher secondary marks for B.Arch admission | 5th June 2014 |
| Publication of rank list & counseling schedule for B.Arch | 8th June 2014 |
| Counseling for admission to B.Arch | 13th June 2014 |
| Last date for payment of full tuition fees for B.Tech | 15th June 2014 |
SRMEE 2014 Eligibility
- Nationality
(i)The applicant for admission should be a resident Indian national.
(ii) should have studied in schools located in India in the preceding two years for admission to Undergraduate program.
(iii) should have studied in educational institutions in India and completed their qualifying examination.
- Eligibility Criteria in Qualifying Examination
Undergraduate Programs
B.Tech.:
A pass in 10+2 or its equivalent and
(a) For all programs: Minimum 70% aggregate in Mathematics, Physics & Chemistry
(b) For biotechnology, biomedical engineering and genetic engineering: Minimum 70% aggregate in Mathematics / Biology, Physics and Chemistry.
In SRMEE-2014
• Candidates who have attempted Physics, Chemistry and Mathematics in the SRMEE are eligible for all the B.Tech. degree programs.
• Candidates who have attempted Physics, Chemistry and Biology in the SRMEE are eligible for B.Tech. Biotechnology, Biomedical Engineering and Genetic engineering programs and also for various programs in Health Sciences.
B.Des.:
A pass in 10+2 or its equivalent in academic stream having a minimum total aggregate of 70%.
B.Arch.:
(a) A pass in 10+2 or its equivalent having a minimum total aggregate of 70% with English and Mathematics as subjects of study or 10+3
Diploma (Any Stream) recognized by Central / State Government with 70% aggregate marks.
(b) A pass in National Aptitude Test in Architecture (NATA) conducted by the Council of Architecture.
(c) No separate entrance examination will be conducted by SRM University. However, the candidates have to apply in the prescribed application form for admission to B.Arch. program.