Exam Date

Jul 11, 2021

Result Date

Jul 17, 2021

Apr 7, 2021 | Engineering

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AEEE 2021 will have various topics from 3 subjects which are Physics, Mathematics, and Chemistry of class 11th and class 12th. While some topics from these subjects will be omitted, some extra topics will be added to ensure that student has a strong knowledge in subjects apart from the standardly prescribed syllabus for AEEE 2021.

## AEEE Syllabus 2021

 Physics Chemistry Mathematics Units and dimensions Basic concepts Complex Numbers Mechanics Atomic structure, chemical bonding, and molecular structure Linear Inequalities Solids and fluids Equilibrium and thermodynamics Permutations and Combinations Heat and thermodynamics Electrochemistry, kinetics and surface chemistry Binomial Theorem Ray and wave optics Solid-state and solutions Sequences and Series Modern physics Hydrogen Matrices and Determinants Electrostatics, current electricity, and Magnetostatics S - block elements Quadratic Equations Electromagnetic induction and electromagnetic waves P - block elements Relations and Functions Oscillations and waves D, F - block elements Probability Coordination compounds Differential Calculus Basic organic chemistry and techniques Integral Calculus Hydrocarbons, haloalkanes, and haloarenes Differential Equations Alcohols, phenols, and ethers Trigonometry Aldehydes, ketones, carboxylic acids and amines Measures of Central Tendency and Dispersion Polymers and biomolecules Two-Dimensional Geometry Environmental chemistry The straight line and a pair of straight lines Chemistry in everyday life Circles and Family of Circles Conic Sections Vector Algebra Three Dimensional Geometry

## AEEE 2021 Mathematics Syllabus

COMPLEX NUMBERS:

• Complex numbers in the form a+ib and their representation in a plane. Properties of complex numbers. Argand Plane and Polar Representation. 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.

PERMUTATIONS AND COMBINATIONS:

• A fundamental principle of counting; Permutation as an arrangement and combination as selection, Meaning of P(n,r)and C(n,r).Simple applications.

BINOMIAL THEOREM:

• Binomial theorem for positive integral indices. Pascal’s triangle. General and middle terms in binomial expansions, simple applications.

SEQUENCES AND SERIES:

• Arithmetic, Geometric and Harmonic progressions. Insertion of Arithmetic Mean (A.M), Geometric mean(G.M) and Harmonic mean (H.M) between two given numbers. Relation between A.M., G.M. and H.M. Special series ∑n, ∑n2, ∑n3. Arithmetic-Geometric Series, Exponential and Logarithmic Series.

MATRICES AND DETERMINANTS:

• Determinants and matrices of order two and three, properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Evaluation of determinants. Addition and multiplication of matrices, adjoint, and the inverse of the matrix. A solution of simultaneous linear equations using determinants.

• Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, nature of roots, a formation of quadratic equations with given roots;

TRIGONOMETRY:

• Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles, including centroid, incentre, circumcentre and orthocentre, the solution of triangles. Heights and distances.

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.

PROBABILITY:

• A probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability; Bayes’ theorem, Probability distribution of a random variate; Binomial and Poisson distributions and their properties.

DIFFERENTIAL CALCULUS:

• Polynomials, rational, trigonometric, logarithmic and exponential 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. Applications of derivatives: Rate of change, Maxima and Minima of functions one variable, tangents and normals, Rolle’s and Langrage’s Mean Value Theorems.

INTEGRAL CALCULUS:

• 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. Integral to a limit of the sum. Properties of definite integrals. Evaluation of definite integral; Determining areas of the regions bounded by simple curves.

DIFFERENTIAL EQUATIONS:

• Ordinary differential equations, their order, and degree. Formation of a differential equation. Solutions of differential equations by the method of separation of variables. The solution of Homogeneous and linear differential equations, and those of type d2y/dx2= f(x).

TWO DIMENSIONAL GEOMETRY:

• Review of Cartesian system of rectangular co-ordinates in a plane, distance formula, area of a triangle, condition for the collinearity of three points, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

THE STRAIGHT LINE AND PAIR OF STRAIGHT LINES:

• Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line. Equations of internal and external bisectors of angles between two lines, equation of family lines passing through the point of intersection of two lines, homogeneous equation of second degree in x and y, the 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 intersections and angles between two lines.

CIRCLES AND FAMILY OF CIRCLES:

• The standard form of the 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 endpoints of a diameter are given, points of intersection of a line and circle with the centre at the origin and condition for a line to be tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.

CONIC SECTIONS:

• Sections of cones, equations of conic sections ( parabola, ellipse, and hyperbola) in standard forms, conditions for y = mx+c to be a tangent and point(s) of tangency.

VECTOR ALGEBRA:

• Vector and scalars, an addition of two 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.

THREE DIMENSIONAL GEOMETRY:

• A distance between two points. Direction cosines of a line joining two points. Cartesian and vector equation of a line. Coplanar and skew lines. The shortest distance between two lines.Cartesian and vector equation of a plane. An angle between (i) two lines (ii) two planes (iii) a line and a plane Distance of a point from a plane.

## AEEE 2021 Physics Syllabus

UNITS AND DIMENSIONS:

• Units for measurement, a system of units, SI, fundamental and derived units, dimensions and their applications.

MECHANICS:

• Motion in a straight line, uniform, and non-uniform motion, uniformly accelerated motion and its applications Scalars and Vectors, and their properties;

• Resolution of vectors, scalar and vector products; uniform circular motion and its applications, projectile motion Newton’s Laws of motion; conservation of linear momentum and its applications, laws of friction, Concept of work, energy and power; energy-kinetic and potential;

• Conservation of energy; different forms of energy. Elastic collisions in one and two dimensions. Center of a mass of a many-particle system; a centre of mass of a rigid body, rotational motion, and torque. Angular momentum and its conservation. Moments of inertia, parallel and perpendicular axes theorem, the moment of inertia for a thin rod, ring, disc, and sphere. Gravitation: Acceleration due to gravity and its properties. One and two-dimensional motion under gravity. The universal law of gravitation, planetary motion, Kepler’s laws, artificial satellite - geostationary satellite, gravitational potential energy near the surface of the earth, gravitational potential and escape velocity.

SOLIDS AND FLUIDS:

• Solids: Elastic properties, Hooke’s law, Young’s modulus, bulk modulus, modulus of rigidity.Liquids: Cohesion and adhesion; surface energy and surface tension; a flow of fluids, Bernoulli’s theorem and its applications; viscosity, Stoke’s Law, terminal velocity.

OSCILLATIONS AND WAVES:

• Periodic motion, simple harmonic motion and its equation, oscillations of a spring and simple pendulum. Wave motion, properties of waves, longitudinal and transverse waves, superposition of waves, Progressive and standing waves. Free and forced oscillations, resonance, a vibration of strings and air columns, beats, Doppler effect.

HEAT AND THERMODYNAMICS:

• Thermal expansion of solids, liquids and gases and their specific heats, a relationship between Cp and Cv for gases, first and second laws of thermodynamics, Carnot cycle, an efficiency of heat engines. Transference of heat; thermal conductivity; black body radiations, Kirchoff’s law, Wein’s Law, Stefan’s law of radiation and Newton’s law of cooling.

ELECTROSTATICS, CURRENT ELECTRICITY AND MAGNETOSTATICS:

• Coulomb's law, dielectric constant, electric field, lines of force, field due to dipole, electric flux, Gauss’s theorem and its applications; electric potential, potential due to a point charge; conductors and insulators, distribution of charge on conductors; capacitance, parallel plate capacitor, a combination of capacitors, energy stored in a capacitor. Electric current: Cells-primary and secondary, the grouping of cells; resistance and specific resistivity and its temperature dependence. Ohm’s law, Kirchoff’s Law. Series and parallel circuits; Wheatstone’s Bridge and the potentiometer with their applications. Heating effects of current, electric power, a concept of thermoelectricity, Seebeck effect and thermocouple; the chemical effect of current- Faraday’s laws of electrolysis. Magnetic effects: Oersted’s experiment, Biot Saver's law, magnetic field due to straight wire, circular loop and solenoid, the force on a moving charge in a uniform magnetic field(Lorentz force), forces and torques on a current-carrying conductor in a magnetic field, the force between current-carrying wires, moving coil galvanometer and conversion to ammeter and voltmeter. Magnetostatics: Bar magnet, magnetic field, lines of force, the torque on a bar magnet in a magnetic field, earth’s magnetic field; para, dia and ferromagnetism, magnetic induction, magnetic susceptibility.

ELECTROMAGNETIC INDUCTION AND ELECTROMAGNETIC WAVES:

• Induced electromagnetic force Faraday’s law, Lenz’s law, self, and mutual inductance; alternating currents, impedance and reactance, power in ac; circuits with LC and R series combination, resonant circuits, transformer, and AC generator. Electromagnetic waves and their characteristics; electromagnetic spectrum from gamma to radio waves.

RAY AND WAVE OPTICS:

• Reflection and refraction of light at plane and curved surfaces, total internal reflection; optical fibre; deviation and dispersion of light by a prism; lens formula, magnification and resolving power; microscope and telescope, Wave nature of light, interference, Young’s double experiment; thin films, Newton’s rings. Diffraction: diffraction due to a single slit; the diffraction grating, polarization, and applications.

MODERN PHYSICS:

• Dual nature of Radiation - De Broglie relation, photoelectric effect, Alpha particle scattering experiment, atomic masses, size of the nucleus; radioactivity, alpha, beta and gamma particles/rays. Radioactive decay law, half-life and mean life of radioactive nuclei; Nuclear binding energy, mass-energy relationship, nuclear fission, and nuclear fusion. Energy bands in solids, conductors, insulators and semiconductors, PN junction, diode, diode as a rectifier, transistor action, transistor as an amplifier.

## AEEE 2021 Chemistry Syllabus

BASIC CONCEPTS:

• Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry and calculations based on stoichiometry.

ATOMIC STRUCTURE, CHEMICAL BONDING, AND MOLECULAR STRUCTURE:

• Bohr’s model, de Broglie’s and Heisenberg’s principles, Quantum mechanical model, Orbital concept and filling up of electrons; Bond formation and bond parameters; Valence bond and molecular orbital theory; VSEPR theory; Hybridization involving s, p, and d orbital; Hydrogen bond.

EQUILIBRIUM AND THERMODYNAMICS:

• Law of chemical equilibrium and Equilibrium Constant; Homogeneous and Heterogeneous equilibria; LeChatelier’s principle, Ionic equilibrium; Acids, Bases, Salts and Buffers; Solubility product; Thermodynamic state; Enthalpy, Entropy and Gibb’s free energy; Heats of reactions; Spontaneous and nonspontaneous processes.

ELECTROCHEMISTRY, KINETICS AND SURFACE CHEMISTRY:

• The specific, molar and equivalent conductance of weak and strong electrolytes; Kohlrausch law; Electrochemical cells and Nernst equation; batteries, fuel cells and corrosion Rate of a reaction and factors affecting the rate: Rate constant, order and molecularity, collision theory. Physisorption and chemisorptions; colloids and emulsions; homogeneous and heterogeneous catalysis.

SOLID STATE AND SOLUTIONS:

• Molecular, ionic, covalent and metallic solids; amorphous and crystalline solids; crystal lattices and Unit cells; packing efficiency and imperfections; electrical and magnetic properties. Normality, molarity, and molality of solutions, the vapour pressure of liquid solutions; ideal and non-ideal solutions, colligative properties; abnormality.

HYDROGEN:

• The position of hydrogen in the periodic table; dihydrogen and hydrides- preparation and properties; water, hydrogen peroxide and heavy water; hydrogen as a fuel.

S - BLOCK ELEMENTS:

• Group 1 and 2 Alkali and Alkaline earth elements; general characteristics of compounds of the elements; anomalous behaviour of the first element; preparation and properties of compounds like sodium and calcium carbonates, sodium chloride, sodium hydroxide; the biological importance of sodium, potassium, and calcium.

P - BLOCK ELEMENTS:

• Groups 13 to 17 elements: General aspects like electronic configuration, occurrence, oxidation states, trends in physical and chemical properties of all the families of elements; compounds of boron like borax, boron hydrides and allotropes of carbon; compounds of nitrogen and phosphorus, oxygen and sulphur; oxides and oxyacids of halogens.

D, F - BLOCK ELEMENTS:

• Electronic configuration and general characteristics of transition metals; ionization enthalpy, ionic radii, oxidations states, and magnetic properties; interstitial compounds and alloy formation; lanthanides and actinoids and their applications.

CO-ORDINATION COMPOUNDS:

• Werner’s theory and IUPAC nomenclature of coordination compounds; coordination number and isomerism; Bonding in coordination compounds and metal carbonyls and stability; application in analytical methods, extraction of metals and biological systems.

BASIC ORGANIC CHEMISTRY AND TECHNIQUES:

• Tetravalence of carbon and shapes or organic compounds; electronic displacement in a covalent bond inductive and electromeric effects, resonance, and hyperconjugation; hemolytic and heterolytic cleavage of covalent bond free radicals, carbocations, carbanions electrophiles and nucleophiles; methods of purification of organic compounds; qualitative and quantitative analysis.

HYDROCARBONS, HALOALKANES, AND HALOARENES:

• Alkanes, alkenes, alkynes and aromatic hydrocarbons; IUPAC nomenclature, isomerism; confirmation of ethane, geometric isomerism, general methods of preparation and properties, free radical mechanism of halogenation, Markownikoff’s addition and peroxide effect; benzene, resonance and aromaticity, substitution reactions; Nature of C-X bond in haloalkanes and haloarenes; mechanism of substitution reactions.

ALCOHOLS, PHENOLS AND ETHERS IUPAC:

• Nomenclature, general methods of preparation, physical and chemical properties, identification of primary, secondary and tertiary alcohols, mechanism of dehydration; electrophilic substitution reactions.

ALDEHYDES, KETONES, CARBOXYLIC ACIDS AND AMINES:

• Nomenclature, general methods of preparation, physical and chemical properties of the group members; nucleophilic addition and its mechanism; reactivity of alpha hydrogen in aldehydes; mono and dicarboxylic acids-preparation and reactions; identification of primary, secondary and tertiary amines; preparation and reactions of diazonium salts and their importance in synthesis.

POLYMERS AND BIOMOLECULES:

• Natural and synthetic polymers, methods of polymerization, copolymerization, molecular weight of polymers, Polymers of commercial importance, Carbohydrates: mono, oligo and polysaccharides; Proteins Alpha-amino acid, peptide linkage and polypeptides: Enzymes, Vitamins and Nucleic acids (DNA and RNA)

ENVIRONMENTAL CHEMISTRY:

• Air, water and soil pollution, chemical reactions in the atmosphere, acid rain; ozone and its depletion; greenhouse effect and global warming; pollution control.

CHEMISTRY IN EVERYDAY LIFE:

• Drugs and their interaction; chemicals as analgesics, tranquillizers, antiseptics, antibiotics, antacids, and antihistamines; Chemicals in food- preservatives, artificial sweetening agents; cleansing agents – soaps and detergents.

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