SAEEE - Syllabus
Sathyabama All India Entrance Examination
Exam Date: 26 Jun 2021,27 Jun 2021
Computer Based Test
Updated On - May 15 2021 by Anusha Pachauri
Union, Intersection and Complement of sets and their algebraic properties; Power set; Relation, Types of relations, Equivalence relations, functions, Sets and their representation, one-one, into and onto functions, the composition of functions.
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, Modulus and Argument (or Amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Algebra of complex numbers, Relation between roots and coefficients, nature of roots, the formation of quadratic equations with given roots.
Matrices, Algebra of matrices, types of matrices, Determinants, and matrices of order two and three. Properties of determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
The fundamental principle of counting, permutation as an arrangement and combination as a selection.
Principle of Mathematical Induction and its simple applications.
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. The relation between A.M. and G.M. Sum up to n terms of special series: Sn, Sn2, Sn3, Sn3. Arithmetic Geometric regression.
Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity, and differentiability. 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. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives.d
Integral as an antiderivative. Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities.
Evaluation of simple integrals of the type Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
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 of the type:
Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, locus, and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate ax
Coordinates of a point in space, the distance between two point
Modes of occurrence of elements in nature, minerals, ores; Steps involved in the extraction of metals - concentration, reduction (chemical and electrolytic methods) and refining with special reference to the extraction of Al, Cu, Zn, and Fe; Thermodynamic and electrochemical principles involved in the extraction of metals.
Position of hydrogen in periodic table, isotopes, preparation, properties and uses of hydrogen; Physical and chemical properties of water and heavy water; Structure, preparation, reactions, and uses of hydrogen peroxide; Classification of hydrides - ionic, covalent and interstitial; Hydrogen as a fuel.
Group - 1 and 2 Elements General introduction, electronic configuration, and general trends in physical and chemical properties of elements, anomalous properties of the first element of each group, diagonal relationships. Preparation and properties of some important compounds - sodium carbonate, sodium chloride, sodium hydroxide, and sodium hydrogen carbonate; Industrial uses of lime, limestone, Plaster of Paris and cement; Biological significance of Na, K, Mg and Ca.
Group - 13 to Group 18 Elements
General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups, unique behavior of the first element in each group. Groupwise study of the p block elements Group 13 Preparation, properties, and uses of boron and aluminum.
The tendency for catenation; Structure, properties, and uses of allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites, and silicones.
Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure, and uses of ammonia, nitric acid, phosphine, and phosphorus halides, (PCl3, PCl5); Structures of oxides and oxoacids of nitrogen and phosphorus.
Preparation, properties, structures and uses of dioxygen and ozone; Allotropic forms of sulfur; Preparation, properties, structures, and uses of sulfur dioxide, sulphuric acid (including its industrial preparation); Structures of oxoacids of sulfur.
Preparation, properties, and uses of chlorine and hydrochloric acid; Trends in the acidic nature of hydrogen halides; Structures of Interhalogen compounds and oxides and oxoacids of halogens.
Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon.
General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the first-row transition elements – physical properties, ionization enthalpy, oxidation states, atomic radii, color, catalytic behavior, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties, and uses of K2 Cr2 O7 and KMnO4.
Inner Transition Elements
Lanthanoids - Electronic configuration, oxidation states, chemical reactivity, and lanthanoid contraction. Actinoids - Electronic configuration and oxidation states.
Introduction to coordination compounds, Werner’s theory; ligands, coordination number, denticity, chelation; IUPAC nomenclature of mononuclear coordination compounds, isomerism; Bonding-Valence bond approach and basic ideas of Crystal field theory, color and magnetic properties; Importance of coordination compounds (in qualitative analysis, extraction of metals and in biological systems).
Environmental pollution - Atmospheric, water, and soil.
Atmospheric pollution - Tropospheric and Stratospheric
Tropospheric pollutants Gaseous pollutants: Oxides of carbon, nitrogen, and sulfur, hydrocarbons; their sources, harmful effects, and prevention; Greenhouse effect and Global warming; Acid rain; Particulate pollutants: Smoke, dust, smog, fumes, mist; their sources, harmful effects, and prevention. Stratospheric pollution- Formation and breakdown of ozone, depletion of the ozone layer - its mechanism and effects.
Water Pollution - Major pollutants such as pathogens, organic wastes, and chemical pollutants; their harmful effects and prevention.
Soil pollution - Major pollutants such as Pesticides (insecticides, herbicides, and fungicides), their harmful effects, and prevention. Strategies to control environmental pollution.
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, phosphorus. Calculations of empirical formulae and molecular formulae; Numerical problems in organic quantitative analysis.
Tetravalency of carbon; Shapes of simple molecules - hybridization (s and p); Classification of organic compounds based on functional groups: - C = C -, - C h 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. Electronic displacement in a covalent bond- Inductive effect, electromeric effect, resonance, and hyperconjugation.
Common types of organic reactions - Substitution, addition, elimination, and rearrangement.
Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties, and reactions.
Alkanes - Conformations: Sawhorse and Newman projections (of ethane); Mechanism of halogenations 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 influence of the functional group in mono-substituted benzene.
General methods of preparation, properties, and reactions; Nature of C-X bond; Mechanisms of substitution reactions. Uses; Environmental effects of chloroform, iodoform, freons, and DDT.
General methods of preparation, properties, reactions, and uses.
ALCOHOLS, PHENOLS, AND ETHERS
Alcohols: Identification of primary, secondary, and tertiary alcohols; mechanism of dehydration.
Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration, and sulphonation,
Reimer - Tiemann reaction.
Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as Nucleophilic addition reactions (addition of HCN, NH3, and its derivatives), Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); the acidity of _ - hydrogen, aldol condensation, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones.
Acidic strength and factors affecting it.
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.
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.
General introduction and importance of biomolecules.
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 bond, polypeptides; Proteins: primary, secondary, tertiary, and quaternary structure (qualitative idea only), denaturation of proteins, enzymes.
VITAMINS - Classification and functions.
NUCLEIC ACIDS - Chemical constitution of DNA and RNA. Biological functions of nucleic acids.
Chemicals in medicines - Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamines – their meaning, and common examples.
Chemicals in food - Preservatives, artificial sweetening agents - common examples.
Cleansing agents - Soaps and detergents, cleansing action.
Detection of extra elements (N, S, halogens) in organic compounds; Detection of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, and amino groups in organic compounds.
The chemistry involved in the preparation of the following: Inorganic compounds: Mohr’s salt, potash alum.
Organic compounds: Acetanilide, pnitroacetanilide, aniline yellow, iodoform.
The chemistry involved in the titrimetric exercises - acid bases and the use of indicators, oxalic-acid vs KMnO4, Mohr’s salt vs KMnO4.
Chemical principles involved in the qualitative salt analysis:
Cations - Pb2+ , Cu2+, AI3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+.
Anions- CO3 2-, S2-, SO4 2-, NO2-, NO3-, CI -, Br, I.
(Insoluble salts excluded).
Chemical principles involved in the following experiments:
1. Enthalpy of solution of CuSO4
2. Enthalpy of neutralization of strong acid and strong base.
3. Preparation of lyophilic and lyophobic sols.
4. Kinetic study of the reaction of iodide ion with hydrogen peroxide at room temperature.
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26 Jun 2021, 27 Jun 2021