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AEEE - Syllabus

Amrita Engineering Entrance Examination 2020

Form Date: 01 Jan - 28 Feb 2021 (Tentative)

Pen & Paper Mode, Computer Based Test

Updated On - March 27 2020 by Brahmjeet Dagar

- The official authority of the Amrita Engineering Entrance Examination has released the syllabus for AEEE 2020 examination so that the aspiring candidates get to know about the most crucial topics they would eventually be prepared.
- Being aware of the proper syllabus will help the candidates strategize their examination self-study plans.
- This will eventually help the candidates organize their schedules and manage the time accordingly.
- The syllabus of AEEE will consist of the topics from class 11th and 12th standard syllabus of science.

The Amrita Engineering Entrance Test 2020 important topics are mentioned below:

The syllabus for Mathematics for Amrita Engineering Entrance Exam is given below in detail:

- 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.

- Fundamental principle of counting
- Permutation is an arrangement
- Combination as selection
- Meaning of P(n,r)and C(n,r).
- Simple applications.

- Binomial theorem for positive integral indices.
- Pascal’s triangle.
- General and middle terms in binomial expansions
- Simple Applications.

- 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.
- Special series ∑n, ∑n2, ∑n3.
- Arithmetico-Geometric Series, Exponential and Logarithmic Series.

- Determinants and matrices of order two and three
- Properties of determinants.
- Evaluation of determinants.
- Addition and multiplication of matrices
- Adjoint and Inverse of a matrix.
- 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
- Formation of quadratic
- Equations with given roots

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

- 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 of an event addition
- Multiplication theorems of probability and their applications
- Conditional probability
- Bayes’ theorem
- Probability distribution of a random variation
- Binomial and Poisson distributions and their properties.

- 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
- Maxima and Minima of functions one variable, tangents and normals, Rolle’s Langrage’s Mean Value Theorems.

- 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 as a limit of a sum.
- Properties of definite integrals.
- Evaluation of definite integral
- Determining areas of the regions bounded by simple curves.

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

- Review of the Cartesian system of rectangular co-ordinates in a plane
- distance formula
- area of triangle
- condition for the collinearity of three points
- 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, a 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
- 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.

- 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.

- 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 and scalars
- 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.

- Distance between two points.
- Direction cosines of a line joining two points.
- Cartesian and vector equation of a line.
- Coplanar and skew lines.
- Shortest distance between two lines.
- Cartesian and vector equation of a plane.
- Angle between (i) two lines (ii) two planes (iii) a line and a plane Distance of a point from a plane.

The AEEE syllabus 2020 for the Chemistry subject is given below in detail:

- Density - mole concept - empirical and molecular formula – stoichiometry -

volumetry - Equivalent and molecular masses
- Percentage composition

- Atomic models
- sub-atomic particles
- orbital shapes
- Pauli’s exclusion

Hund’s rule - Aufbau principle
- de-Broglie relation
- Heisenberg’s uncertainty
- electronic configuration and periodic properties.

- Ionic bonding, lattice energy – Born-Haber cycle
- covalent bond - Fajan’s Rule –VSEPR theory - - hybridization
- valence bond and molecular orbital theory
- coordinate
- metallic and hydrogen bonding

- Hydrogen, isotopes, liquid hydrogen as fuel, alkali metals, oxides and hydroxides, extraction and properties of lithium, sodium and potassium.
- Group 2 elements and their properties.

- Boron - borax, boranes, diborane, Carbon - allotropes, oxides, carbides, halides and sulphides of carbon group- silicon and silicates – silicones, Nitrogen – Fixation – compounds of nitrogen- Phosphorous– allotropes and compounds. Oxygen - oxides and peroxide.
- Sulphur – its compounds - inter-halogen compounds.

- d-block elements configuration and properties - transition elements, chromium, copper, zinc, silver, interstitial compounds and alloys, f - block elements and extraction, lanthanides and actinides.

- Solids - amorphous and crystalline, classification of a crystalline - unit cell, Miller indices - packing efficiency, unit cell dimensions, crystal structure, ionic crystals, imperfections in solids, electric and magnetic properties.

- Terminology in coordination- isomerism, Werner, VBT, CFT theories - Biocoordination compounds.

- Gaseous state and gas laws, deviation- van der Waal’s constants - Joule-Thomson effect - liquefaction of gases, the theory of catalysis, colloids and emulsions.

- Lowering of vapour pressure, Depression of freezing point, Elevation in boiling point, Osmotic pressure, abnormality - dissociation and association.

- Faraday’s laws - specific, equivalent and molar conductances, Kohlraush’s law and applications- electrode potentials - EMF, electrochemical and, galvanic cells, Nernst equation, batteries, fuel cells, corrosion and its prevention.

- First and second law- internal energy, enthalpy, entropy, free energy changes– specific heats at constant pressure and constant volume – enthalpy of combustion, formation and neutralization, Kirchoff law – Hess’s law - bond energy.

- Law of chemical equilibrium, homogenous and heterogeneous equilibrium, Le Chatlier’s principle, equilibrium constants, factors affecting- Ionic equilibrium, ionization of acids and bases, buffer solutions, pH -solubility of sparingly soluble salts.

- Order, molecularity, rate and rate constant – first and second-order reactions - temperature dependence, factors influencing the rate of reaction, integrated rate equation, collision theory of chemical reaction.

- Classification, functional groups, nomenclature and isomerism, types of organic reactions, mechanism, purification, qualitative and quantitative analysis carbocation, carbanion and free radical, electron displacement in a covalent bond.

- IUPAC nomenclature, alkanes –alkynes – aromatic hydrocarbon nomenclature, preparation, physical and chemical properties use.
- Polymerization – types, molecular mass, biodegradable and commercial polymers.

- Nature of C-X bond- preparation - properties and reactions of alkyl and aryl halides- polyhalogen compounds - substitution and elimination – mechanism- Grignard reagents.

- Preparation - properties and uses of Aliphatic and aromatic nitro compounds --aliphatic and aromatic amines, nitriles, Diazonium salts. – 1°, 2°, and 3° amines – distinction - Optical activity.

- Nomenclature, preparation, properties and uses of alcohols, ethers, aldehydes, ketones, aliphatic carboxylic acids, benzoic acid - salicylic acid.

- Carbohydrates, proteins, amino acids - enzymes, vitamins and nucleic acids - lipids. Pollution.- air, water and soil - industrial waste, acid rain, greenhouse effect, global warming, Strategies to control pollution.

Candidates can check the topics that they have to prepare for the Physics section for Amrita Engineering Entrance Test 2020 given below:

- Units for measurement
- system of units
- SI and fundamental and derived units
- dimensions and their applications.

- Motion in a straight line, uniform and non-uniform motion, uniformly accelerated the motion and its applications.
- Scalars and Vectors resolution of Vectors, vector properties.
- Motion in a plane, Projectile motion, Uniform circular motion.
- Newton’s Laws of motion, conservation of linear momentum, Friction
- Work-Energy theorem, kinetic energy, potential energy, conservation of energy
- Elastic collision in one and two dimensions.
- Center of the mass of a system of particles, centre of mass of a rigid body, rotational motion and torque, angular momentum and its conservation, moments of inertia for various geometries, parallel and perpendicular axes theorem.
- Universal law of gravitation, acceleration due to gravity, planetary motion, Kepler’s laws, Satellites, gravitational potential and potential energy and escape velocity.

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

- Oscillatory motion - periodic and non-periodic motion
- simple harmonic motion (SHM), angular SHM, linear harmonic oscillator – both horizontal and vertical
- combination of springs – series and parallel, simple pendulum
- Expression of energy – potential energy, kinetic energy and total energy
- Graphical representation of SHM
- Types of oscillations – free, damped, maintained and forced oscillations and resonance.

- Properties of waves
- Transverse and Longitudinal waves
- Superposition of waves, Progressive and Standing waves
- Vibration of strings and air columns, beats, Doppler Effect.

- Heat, work and temperature; Ideal gas laws
- Specific heat capacity, Thermal expansion of solids, liquids and gases, Relationship between Cp and Cv for gases
- Newton’s law of cooling, black body, Kirchoff’s law, Stefan's law and Wein’s law, thermodynamic equilibrium, internal energy
- Zeroth, the first and second law of thermodynamics, thermodynamic processes, Carnot cycle, the efficiency of heat engines, refrigerator

**Electric charges and Fields:**Electric Charge; Conductors and Insulators, Charging by Induction, Basic Properties of Electric Charge, Coulomb’s Law, Forces between Multiple Charges, Electric Field, Electric Field Lines, Electric Flux, Electric Dipole, Dipole in a Uniform External Field, Continuous Charge Distribution, Gauss’s Law, Applications of Gauss’s Law.**Electrostatic potential and Capacitance:**Electrostatic potential, Potential due to a point charge, electric dipole, system of charges. Equipotential surfaces; Potential energy of a system of charges, potential energy in an external field, Electrostatics of conductors, Dielectric and Polarization, Capacitors and Capacitance, parallel plate capacitor, the effect of dielectric on capacitance combination of capacitors, energy stored in a capacitor, Van de Graaff Generator.**Current Electricity:**Electric current, electric currents in conductors, Ohm’s law, drift of electrons and the origin of Resistivity, temperature dependence of resistivity, electrical energy, power, combination of resistors, series and parallel, cells, emf, internal resistance, cells in series and in parallel, Kirchhoff’s Rules, Wheatstone bridge, Meter bridge, potentiometer.**Heating effects of current:**Electric power; the concept of thermoelectricity – Seebeck effect and thermocouple, chemical effect of current – Faraday’s laws of electrolysis.**Magnetic effects:**Oersted’s experiment, BiotSavart’s law, magnetic field due to a straight wire, circular loop and solenoid, force on a moving charge in a uniform magnetic field (Lorentz force), forces and torques on a current-carrying conductor in a magnetic field, force between current-carrying wires, moving coil galvanometer and conversion to ammeter and voltmeter.**Magnetostatics:**Bar magnet, magnetic field, lines of force, torque on a bar magnet in a magnetic field, earth’s magnetic field; para, dia, and ferromagnetism, magnetic induction and magnetic susceptibility.

**Electromagnetic Induction:**Induced e. m. f: Magnetic flux, Faraday’s law, Lenz’s Law and Conservation of Energy, Self and mutual inductance.**Alternating Current:**Impedance and reactance; power in AC circuits; AC voltage applied to resistor, inductor, capacitor, LCR circuits and resonance, transformer and AC generator.**Electromagnetic Waves:**Electromagnetic waves characteristics, the electromagnetic spectrum from gamma to radio waves.

**Ray Optics and optical instruments:**Reflection and refraction of light by plain spherical mirrors - Total Internal Reflection; optical fibre; deviation and dispersion of light by a prism; lens formula; magnification and resolving power; microscope and telescope.**Wave Optics:**Huygens principle: Wave nature of light, interference of light waves and Young’s experiment, thin films, Newton’s rings, Diffraction – single slit, grating, Polarization and applications.

**Dual nature of radiation and matter:**De Broglie relation, Electron emission, photoelectric effect, experimental study, Einstein’s photoelectric equation: Energy quantum of radiation; particle nature of light, the photon, wave nature of matter.**Atoms:**Alpha-particle scattering and Rutherford’s nuclear model of the atom, atomic spectra, Bohr model of the hydrogen atom; the line spectra of the hydrogen atom.**Nuclei:**Atomic masses and composition of the nucleus; the size of the nucleus; mass-energy and nuclear binding energy; nuclear force; radioactivity; nuclear energy**Semiconductor materials, devices and simple circuits:**Energy bands in solids; classification of metals, conductors and semiconductors; intrinsic semiconductor, extrinsic semiconductor, p-n junction, semiconductor diode, junction diode as a rectifier, junction transistor, transistor as an amplifier.

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