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 coefcients,  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 coefficients. 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 denite integrals.  Evaluation of denite 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, 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 2: States of Matter

Classication of matter into solid, liquid and  gaseous states.

Solid State: Classication 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 significance;  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 conguration of elements, extra stability of  half-filled and completely filled 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 configurations 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-classication-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 signicance.

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 signicance,  signicance 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, 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; 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, classication 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 specic rate constants. Order of  reaction and effect of concentration (study will be conned 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: Purification and Characterisation of  Organic Compounds

Purification – 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); classication 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

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; 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 inuence 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, classification, structure, basic  character and identification of primary, secondary and  tertiary amines and their basic character.

Diazonium salts: Importance in synthetic organic chemistry.

UNIT 17: 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 uses – polythene, nylon, polyester and  bakelite.

UNIT 18: Biomolecules

Carbohydrates-Classification: 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 – Classication 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, articial 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.

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