# AMU Engineering Entrance Exam – AMU EEE 2019

**AMU EEE 2019 Entrance Exam**

The Aligarh Muslim University is one of the oldest premier Central Universities of India with a unique and rich culture of its own.

**AMU EEE B.Tech Entrance Exam 2019**

Aligarh Muslim University conducts engineering entrance exam ( AMU EEE ) invites admission Application for B.Tech programs for the academic session 2019 – 2020.

**AMU EEE 2019 Courses Offered**

Duration | Branch Name | Course Code | Intake |
---|---|---|---|

Chemical Engineering | KEBT | 30 | |

Civil Engineering | CEBT | 60 | |

Computer Engineering | COBT | 50 | |

8 Semesters | Electrical Engineering | EEBT | 60 |

Electronics Engineering | LEBT | 50 | |

Mechanical Engineering | MEBT | 90 | |

Petrochemical Engineering | PKBT | 25 |

**AMU EEE 2019 B.Tech Eligibility**

Senior Secondary School Certificate Examination of this University or an equivalent examination with at least 50% marks in aggregate of English, Physics, Chemistry and Mathematics ( or )

Diploma in Engineering of this University with at least 50% marks in aggregate.

**AMU EEE 2019 Exam Pattern**

There shall be one objective type paper of 150 marks comprising 150 questions on Chemistry, Physics and Mathematics.

To know more about AMU 2019 Entrance Exam **Click Here**

**AMU EEE 2019 Application Form**

The Application Form will be available from the official website of **www.amucontrollerexams.com**. The candidates can apply Online for AMU EEE 2019.

The AMU EEE Admission Test Fee is [rupee] 600/-.

The completed AMU EEE 2019 Application Form should submit to the following address

Admission Section,

Office of the Controller of Examinations, AMU,

Aligarh – 202 002.

Last Date of receipt of AMU EEE 2018 Application Form is **8th March, 2019**.

**AMU EEE 2019 Test Centres**

AMU BTech Centres ( Candidates opting for B. Arch. shall be allotted only Aligarh as Test Centre )

- Aligarh ( U.P. )
- Lucknow ( U.P. )
- Srinagar ( J. & K. )
- Kolkata ( W.B. )
- Patna ( Bihar )
- Khanapara ( Meghalaya ) adjoining Guwahati

**AMU EEE 2019 Selection Process**

Through Admission Test. Allocation of Branch shall be offered through Counselling.

**AMU EEE 2019 B.Tech Syllabus**

**AMU EEE 2019 Physics Syllabus**

**Physical World and Measurement**

Physics – scope and excitement, nature of physical laws; Physics, Technology and society. Need for measurement : Units of measurement; systems of units; SI units, fundamental and derived units, Length, mass and time measurements; accuracy and precision of measuring instruments, errors in measurement; significant figures. Dimensions of physical quantities, dimensional analysis and its applications.

**Kinematics**

Frame of reference, Motion in a straight line : Position – time graph, speed and velocity, Uniform and non-uniform motion, average speed and instantaneous veolocity. Uniformly accelerated motion, velocity – time, position – time graphs, relations for uniformly accelerated motion ( graphical treatment ).

Elementary concepts of differentiation and integration for describing motion. Scalar and vector quantities : Position and displacement vectors, general vectors and notation, equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity.

Unit vector; Resolution of a vector in a plane-rectangular components. Motion in a plane. Cases of uniform velocity and uniform acceleration – projectile motion. Uniform circulation motion.

**Laws of Motion**

Intuitive concepts of force. Inertia, Newton’s first law of motion; momentum and Newton’s second law of motion; impulse; Newton’s third law of motion. Law of conservation of linear momentum and its applications.

Equilibrium of concurrent forces, static and kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion : Centripetal force, examples of circular motion ( vehicle on level circular road, vehicle on banked road ).

**Work, Energy and Power**

Scalar product of vectors. Work done by a constant force and a variable force; kinetic energy, work – energy theorem, power. Notion of potential energy, potential energy of a spring, conservative forces : conservation of mechanical energy ( kinetic and potential energies ); nonconservative forces : elastic and inelastic collisions in one and two dimensions.

**Motion of System of Particles and Rigid Body**

Centre of mass of a two-particle system, momentum conversation and centre of mass motion. Centre of mass of a rigid body; centre of mass of uniform rod. Vector product of vectors; moment of a force, torque, angular momentum, conservation of angular momentum with some examples.

Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion. Comparison of linear and rotational motions; moment of inertia, radius of gyration.

Values of moments of inertia for simple geometrical objects ( no derivation ). Statement of parallel and perpendicular axes theorems and their applications.

**Gravitation**

Keplar’s laws of planetary motion. The Universal law of gravitation. Acceleration dues to gravity and its variation with altitude and depth. Gravitational potential energy; gravitational potential, Escape Velocity, Orbital Velocity of a satellite, Geo – stationary satellites.

**Properties of Bulk Matter**

Elastic behaviour, Stress-strain relationship, Hooke’s law, Young’s modulus, bulk modulus, shear, modulus of rigidity. Pressure due to a fluid column; Pascal’s law and its applications ( hydraulic lift and hydraulic brakes ). Effect of gravity on fluid pressure. Viscosity, Stokes’ law, terminal velocity, Reynold’s number, streamline and turbulent flow, Bernoulli’s theorem and its applications. Surface energy and surface tension, angle of contact, application of surface tension ideas to drops, bubbles and capillary rise. Heat, temperature, thermal expansion; specific heat-calorimetry; change of statelatent heat. Heat transfer-conduction, convection and radition, thermal conductivity, Newton’s law of cooling.

**Thermodynamics**

Thermal equilibrium and definition of temperature ( zeroth law of thermodynamics ). Heat, work and internal energy. First law of thermodynamics. Second law of thermodynamics : reversible and irreversible processes. Heat engines and refrigerators.

**Behaviour of Perfect Gas and Kinetic Theory**

Equation of state of perfect gas, work done on compressing a gas. Kinetic theory of gases-assumptions, concept of pressure. Kinetic energy and temperature; rms speed of gas molecules; degrees of freedom, law of equipartition of energy ( statement only ) and application to specific heats of gases; concept of mean free path, Avogadro’s number.

**Oscillations and Waves**

Periodic motion – period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion ( S.H.M. ) and its equation; oscillations of a spring – restoring force and force constant; energy in S.H.M. – kinetic and potential energies’ simple pendulum – derivation of expression for its time period’ free, forced and damped oscillations ( qualitative ideas only ), resonance.

Wave motion, Longitudinal and transverse waves, speed of wave motion. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.

**Electrostatics**

Electric charges, Conservation of charge, Coulomb’s low-force between two point charges forces between multiple charges, superposition principle and continuous charge distribution.

Electric field, electric field due to a point charge, electric field lines’ electric dipole electric field due to a dipole torque on a dipole in uniform electric field.

Electric flux, statement of gauss’s theorem and its applications to find field due to infinitely long straight wire uniformly charges infinite plane sheet and uniformly charged tin spherical shell ( field inside and outside ).

Electric potential difference, electric potential due to a point charge, a dipole and system of charge; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field.

Conductors and insulators free charges and bound charges inside a conductor. Dielectrics and electric polarization, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor. Van de Graaff generator.

**Current Electricity**

Electric current flow of electric chargers in a metallic conductor drift velocity, mobility and their relation with electric current; Ohm’s electrical resistance, V-I characterstics ( linear and non-linear ), electrical energy and power, electrical resistivity and conductivity. Carbon resistors colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance.

Internal resistance of a cell, potential difference and emf of a cell combination of cells in series and in parallel. Kirchhoff’s laws and simple applications. Wheatstone bridge and metre bridge. Potentiometer – principle and its applications to measure potential difference and for comparing emf of two cells; measurement of internal resistance of a cell.

**Magnetic Effects of Current and Magnetism**

Concept of magnetic field, Oersted’s experiment. Biot-Savart law and its application to current carrying circular loop. Ampere’s law and its applications to infinitely long straight wire, straight and toroidal solenoids. Force on a moving charge in uniform magnetic and electric fields. Cyclotron. Force on a current – carrying conductor in a uniform magnetic field. Force between two parallel current – carrying conductors – definition of ampere.

Torque experienced by a current loop in uniform magnetic field; moving coil galvanometer – its current sensitivity and conversion to ammeter and voltmeter. Current loop as a magnetic dipole and its magnetic dipole moment. Magnetic dipole, moment of a revolving electron, magnetic field intensity due to a magnetic dipole ( bar magnet ) along its axis and perpendicular to its axis. Torque on magnetic dipole ( bar magnet ) in a uniform magnetic field; bar magnet as an equivalent solenoid magnetic field line; Earth’s magnetic field and magneticelements pars – dia – and ferro – magnetic substances, with examples. Electromagnets and factors of affection their strengths. Permanent magnets.

**Electromagnetic Induction and Alternating Currents**

Electromagnetic Induction; Faraday’s law, Induced emf and current; Lenz’s law, Eddy current self and mutual inductance.

Need for displacement current.

Alternating currents, peak and rms value of alternating; current / voltage, reactance and impedance;

LC oscillations ( qualitative treatment only ), LCR series circuit, resonance, power in ac circuits wattles current.

AC generator and transformer.

**Electromagnetic Waves**

Displacement current, current Electromagnetic wave and their characteristics ( qualitative ideas only ) Transverse nature of electromagnetic waves.

Electromagnetic spectrum ( radio waves, microwaves infrared, visible ultraviolet, x-rays gamma rays ) including elementary facts about their uses.

**Optics**

Reflection of light spherical mirror, mirror formula refraction of light, total internal reflection and its applications, optical fibres refraction at spherical surfaces, lenses thin lens formula lens maker’s Formula. Magnification power of a lens, combination of thin lenses in contract. Refraction and dispersion of light through a prism.

Scattering of light – blue colour of the sky and reddish appearance of the sun at sunrise and sunset.

Optical instruments : Human eye, image formation and accommodation, correct of eye defects ( myopia, hypermetropia, presbyopia and astigmatism ) using lenses. Microscopes and astronomical Telescopes ( reflecting and refraction ) and their magnifying powers.

Waves optics : Wave front and Huygens principle reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygen’s principle, Interference, Young’s double slit experiment and expression for fringe width coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes Polarization, plane polarized light; Brewster’s law. Uses of plane polarized light and polaroids.

**Dual Nature of Matter and Radiation**

Dual nature of Radiation Photoelectric, Hertz and Lenard’s observations; Einstein’s Photoelectric equation – particle nature of light.

Master waves – wave nature of particles, de Broglie relation. DAvission – General experiment.

**Atoms & Nuclei**

Alpha – particle scattering experiment, Rutherford’s model of atom; Bohr model, energy levels hydrogen spectrum.

Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivity – alpha, beta and gamma particles / rays and their properties; radioactive decay law Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission, nuclear reactor, nuclear fusion.

**Electronic Devices**

Semiconductors; semiconductor diode I – V, characteristics in forward and reverse bias, diode as a rectifier; I – V characteristics of LED, photodiode, solar cell and Zener diode : Zener diode as a voltage regulator. Junction transistor, transistor action characteristics of a transistor; transistor as an amplifier ( common emitter configuration ) and oscillator. Logic gages ( OR, AND, NOT NAND and NOR ). Transistor as a switch.

**Communication Systems**

Elements of a communication system ( block diagram only ); bandwidth of signals ( speech, TV and digital data ); bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation. Need of modulation. Production and detection of an amplitude-modulate wave.

**AMU EEE 2019 Chemistry Syllabus**

**Some Basic Concepts of Chemistry**

General Introduction : Importance and scope of chemistry. Historical approach to particulate nature of matter, laws of chemical combination, Dalton’s atomic theory : concept of elements, atoms and molecules. Atomic and molecular masses. Mole concept and molar mass; percentage composition and empirical and molecular formula; chemical reactions, stoichiometry and calculations based on stoichiometry.

**Structure of Atom**

Discovery of electron, proton and neutron; atomic number, isotopes and isobars. Thompson’s model and its limitations, Rutherford’s model and its limitations, Bohr’s model and its limitations, concept of shells and subshells, dual nature of matter and light, de Broglie’s relationship, Heisenberg uncertainty principle, concept of orbitals, quantum numbers, shapes of s, p and d orbitals, rules for filling electrons in orbitals Aufbau principle, Pauli exclusion principle and Hund’s rule, electronic configuration of atoms, stability of half filled and completely filled orbitals.

**Classification of Elements and Periodicity in Properties**

Significance of classification, brief history of the development of periodic table, modern periodic law and the present form of periodic table, periodic trends in properties of elements – atomic radii, ionic radii, inert gas radii, ionization enthalpy, electron gain enthalpy, electronegativity, valence, Nomenclature of elements with atomic number greater than 100.

**Chemical Bonding and Molecular Structure**

Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory, concept of hybridization involving s, p and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only). Hydrogen bond.

**States of Matter : Gases and Liquids**

Three states of matter, intermolecular interactions, types of bonding, melting and boiling points, role of gas laws in elucidating the concept of the molecule, Boyle’s law, Charle’s law, Gay Lussac’s law, Avogadro’s law, ideal behaviour, empirical derivation of gas equation, Avogadro number, ideal gas equation. Deviation from ideal behaviour, liquefaction of gases, critical temperature, Kinetic energy and molecular speeds (elementary idea). Liquid State – Vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations).

**Chemical Thermodynamics**

Concepts of system, types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions.First law of thermodynamics – internal energy and enthalpy, heat capacity and specific heat, measurement of ΔU and ΔH, Hess’s law of constant heat summation, enthalpy of : bond dissociation, combustion, formation, atomization, sublimation, phase transition, ionization,solution and dilution. Introduction of entropy as a state function, Second law of thermodynamics, Gibbs energy change for spontaneous and non-spontaneous process, criteria for equilibrium.

**Equilibrium**

Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibrium – Le Chatelier’s principle; ionic equilibrium – ionization of acids and bases, strong and weak electrolytes, degree of ionization, ionization of polybasic acids, acid strength, concept of pH, Hydrolysis of salts (elementary idea), buffer solutions, Henderson equation, solubility product, common ion effect (with illustrative examples).

**Redox Reactions**

Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions in terms of loss and gain of electron and change in oxidation numbers, applications of redox reactions.

**Hydrogen**

Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen; hydrides – ionic, covalent and interstitial; physical and chemical properties of water, heavy water; hydrogen peroxide – preparation, reactions, use and structure; hydrogen as a fuel.

**s-Block Elements ( Alkali and Alkaline earth metals )**

Group 1 and Group 2 elements General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship, trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii), trends in chemical reactivity with oxygen, water, hydrogen and halogens; uses. Preparation and Properties of some Important Compounds :

Sodium carbonate, sodium chloride, sodium hydroxide and sodium hydrogencarbonate, biological importance of sodium and potassium. CaO CaCO3, and industrial use of lime and limestone, biological importance of Mg and Ca.

**Some p-Block Elements**

General Introduction to p-Block Elements

Group 13 elements : General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous properties of first element of the group; Boron-physical and chemical properties, some important compounds; borax, boric acids, boron hydrides. Aluminium: uses, reactions with acids and alkalies. Group 14 elements : General introduction, electronic configuration, occurrence, variation of properties, oxidation states, trends in chemical reactivity, anomalous beheaviour of first element. Carbon – catenation, allotropic forms, physical and chemical properties; uses of some important compounds: oxides.

Important compounds of silicon and a few uses : silicon tetrachloride, silicones, silicates and zeolites, their uses.

**Organic Chemistry – Some Basic Principles and Techniques**

General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds. Electronic displacements in a covalent bond: inductive effect, electrometric effect, resonance and hyper conjugation. Homolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carbonions; electrophiles and nucleophiles, types of organic reactions.

**Hydrocarbons**

Classification of Hydrocarbons. Aliphatic hydrocarbons: chemical reactions including free radical mechanism of halogenation, combustion and pyrolysis. Alkenes – Nomenclature, structure of double bond (ethane), geometrical isomerism, physical properties, methods of preparation; chemical reactions: addition of hydrogen, halogen, water, hydrogen halides (Markovnikov’s addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition. Alkynes – Nomenclature, structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: acidic character of alkynes, addition reaction of – hydrogen, halogens, hydrogen halides and water. Aromatic hydrocarbons – Introduction, IUPAC nomenclature; Benzene : resonance, aromaticity; chemical properties : mechanism of electrophilic substitution – nitration sulphonation, halogenation, Friedel Craft’s alkylation and acylation; directive influence of functional group in mon-substituted benzene; carcinogenicity and toxicity.

**Environmental Chemistry**

Environmental pollution – Air, water and soil pollution, chemical reactions in atmosphere, smogs, major atmospheric pollutants; acid rain, ozone and its reactions, effects of depletion of ozone layer, greenhouse effect and global warming – pollution due to industrial wastes; green chemistry as an alternative tool for reducing pollution, strategy for control of environmental pollution.

**Class XII ( Theory )**

**Solid State**

Classificatioin of solids based on different binding forces molecular, ionic covalent and metallic solids, amorphous and crystalline solids (elementary idea), unit cell in two dimensional and three dimensional lattices, calculations of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects electrical and magnetic properties, Band theory of metals, conductors, semiconductors and insulators and n and p type semiconductors.

**Solutions**

Types of solutions, expression of concentration of solutions of solids in liquids, solubility of gases in liquids, solid solutions, colligative properties – relative lowering of vapour pressure, Raoult’s law, elevation of B.P., depression of freezing point, osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular mass, Vant Hoff factor.

**Electrochemistry**

Redox reactions; conductance in electrolytic solutions, specific and molar conductivity variations of conductivity with concentration, Kohlrausch’s Law, electrolysis and laws of electrolysis (elementary idea), dry cell electrolytic cells and Galvanic cells; lead accumulator, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells. Relation between Gibbs energy change and EMF of a cell, fuel cells; corrosion.

**Chemical Kinetics**

Rate of a reaction (average and instantaneous), factors affecting rates of reaction : concentration, temperature, catalyst; order and molecularity of a reaction; rate law and specific rate constant, integrated rate equations and half life (only for zero and first order reactions); concept of collision theory (elementary idea, no mathematical treatment). Activation energy, Arrhenious equation.

**Surfaces Chemistry**

Adsorption – physisorption and chemisorption; factors affecting adsorption of gases on solids; catalysis thomogenous and heterogeneous, activity and selectivity: enzyme catalysis; colloidal state: distinction between true solutions, colloids and suspensions; lyophillic, lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsions – types of emulsions.

**General Principles and Processes of Isolation of Elements**

Principles and methods of extraction – concentration, oxidation, reduction electrolytic method and refining; occurrence and principles of extraction of aluminium, copper, zinc and iron.

**p-Block Elements**

Group 15 elements : General introduction, electronic configuration, occurrence, oxidation states, trends in physical and chemical properties; nitrogen – preparation, properties and uses; compounds of nitrogen : preparation and properties of ammonia and nitric acid, oxides of nitrogen ( structure only ); Phosophorous – allotropic forms; compounds of phosphorous : preparation and properties of phosphine, halides ( PCI3, PCI5 ) and oxoacids ( elementary idea only ).

**Group 16 elements**

General introduction, electronic configuration, oxidationi states, occurrence, trends in physical and chemical properties; dioxygen: preparation, properties and uses; classification of oxides; ozone. Sulphur – allotropic forms; compounds of sulphur: preparation, properties and uses of sulphur dioxide; sulphuric acid : industrial process of manufacture, properties and uses, oxoacids of sulphur (structures only).

**Group 17 elements**

General introduction, electronic configuration, oxidation states, occurrence, trends in physical and chemical properties; compounds of halogens: preparation, properties and uses of chlorine and hydrochloric acid, interhalogen compounds, oxoacids of halogens (structures only).

**Group 18 elements**

General introduction, electronic configuration, occurrence, trends in physical and chemical properties, uses, Compounds of Xenon and their structure.

**d and f-Block Elements**

General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first row transition metals – metallic character, ionization enthalpy, oxidation states, ionic radii, colour, catalytic property, magnetic properties, interstitial compounds, alloy formation. Preparation and properties of K2Cr2O7 and KMnO4.

**Lanthanoids **– electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences.

**Actinoids **– Electronic configuration, oxidation states and comparison with lanthenoids.

**Coordination Compounds**

**Coordination compounds **: Introduction, ligands, coordination number, colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds, bonding, Werner’s theory VBT, CFT; isomerism ( structural and stereo ) importance of coordination compounds ( in qualitative inclusion, extraction of metals and biological systems. ).

**Haloalkanes and Haloarenes**

**Haloalkanes**: Nomenclature, nature of C-X bond, physical and chemical properties, mechanism of substitution reactions. Optical rotation.

**Haloarenes **: Nature of C-X bond, substitution reactions ( directive influence of halogen for monosubstituted compounds only ).

**Uses and environmental effects of **– dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.

**Alcohols, Phenols and Ethers**

**Alcohols **: Nomenclature, methods of preparation, physical and chemical properties ( of primary alcohols only ); identification of primary, secondary and tertiary alcohols; mechanism of dehydration, uses, with special reference to methanol and ethanol.

**Phenols **: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophillic substitution reaction, uses of phenols.

**Ethers **: Nomenclature, methods of preparation, physical and chemical properties, uses.

**Aldehydes, Ketones and Carboxylic Acids**

**Aldehydes and ketones: **Nomenclature, nature of carbonyl group, method of preparation, physical and chemical properties, and mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes; uses.

**Carboxylic Acids **: Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses.

**Organic Compounds Containing Nitrogen**

**Amines **: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, identification of primary secondary and tertiary amines.

**Cyanides and Isocyanides **– will be mentioned at relevant places in context.

**Diazonium salts **: Preparation, chemical reactions and importance in synthetic organic chemistry.

**Biomolecules :**

**Carbohydrates **– Classification ( aldoses and ketoses ), monosaccharide ( glucose and fructose ), D-L configuration, oligosaccharides ( sucrose, lactose, maltose ), polysaccharides ( starch, cellulose, glycogen ); importance.

**Proteins – Elementary idea of **– amino acids, peptide bond, polypeptides, proteins, primary structure, secondary structure, tertiary structure and quaternary structure ( qualitative idea only ), denaturation of proteins; enzymes.

**Hormones **– Elementary idea ( excluding structure ).

**Vitamins **– Classification and functions.

**Nucleic Acids **: DNA and RNA

**Polymers**

**Classification **– Natural and synthetic, methods of polymerization ( addition and condensation ), copolymerization, Some important polymers; natural and synthetic like polythene, nylon, polyesters, bakelite, rubber, Biodegradable and non-biodegradable polymers.

**Chemistry in Every Day Life**

**Chemicals in medicines**– analgesics, tranqualizers, antiseptic, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antithistamines.**Chemicals in food**– preservatives, artificial sweetening agents, elementary idea of antioxidants.**Cleansing agents**– soaps and detergents, cleansing action.

**AMU EEE 2019 Mathematics Syllabus**

**Unit – I : Sets and Functions**

**Sets ( 3+3 ) :** Sets and their representations. Empty set. Finite & Infinite sets. Equal sets. Subsets. Subsets of the set of real numbers especially Intervals ( with notations ). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set.

**Relations & Functions ( 4+4 ) :** Orders pairs, Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself ( upto R x R x R ). Definition of relation, pictorial diagrams, domain, codomain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational modulus, signum and greatest integer functions with their graphs, Sum, difference, product and quotients of functions.

**Trignometric Functions : ** Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin^{2} x + cos^{2} x = 1 for all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x + y) and cos (x+y) in terms of sin x, sin y, cos x and cos y. Deducing the identities like the following :

Identities related to sin 2 x, cos 2 x, tan 2 x, sin 3 x, cos 3 x and tan 3 x. General solution of trigonometric equations of the type sin θ = sin α

**Unit II : Algebra**

**Principle of Mathematical Induction**** (03) :** Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

**Complex Numbers And Quadratic Equations**** (3+3) :** Need for complex numbers, especially √-1 , to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, Solution of quadratic equations in the complex number system.

**Linear Inequalities ****(03) :** Linear inequalities, Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system mof linear inequalities in two variables graphically.

**Permutations and Combinations**** (04) :** Fundamental principle of counting. Factorial n (n1) Permutations and combinations, derivation of formulae and their connections, simple applications.

**Binomial Theorem**** (08) :** History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications.

**Sequence and Series**** (06) :** Sequence and Series, Arithmetic progression (A > P), arithmetic mean (A.M.) Geometric progression ( G.P., ) General term of a G.P., sum of n terms of a G.P., geometric mean (G > M), relation between A.M. and G.M. Sum to a terms of the special series ∑n , ∑n^{2} and ∑n^{3} .

**Unit III : Coordinate Geometry**

**Straight Lines**** (04) :** Brief recall of 2 D from earlier classes. Slope of a line and angel between two lines. Various forms of equations of a line : parallel to axes, point-slope form, slope intercept form, two point form, intercepts form and normal form. General equation of a line. Distance of a point from a line.

**Conic Section**** (04 ) :** Sections of a cone : circle, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of conoic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

**Introduction to Three Dimensional Geometry**** (03) : **Coordinate axes and coordinate planes in three dimensions. Coordinatoes of a point. Distance between two points and section formula.

**Unit IV : Calculus**

**Limits and Derivatives**** (04) :** Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

**Unit V : Mathematical Reasoning**

**Mathematical Reasoning**** (03) :** Mathematically acceptable statements. Connecting words / phrases – consolidating the understanding of “if and only if ( necessary and sufficient ) condition”, implies”, and / or”, implied by, “and”, “or”, “three exists” and their use through variety of examples related to real life and mathematics. Validating the statements involving the connecting words – difference between contradiction, converse and contrapositive.

**Probability ****: (03) :** Random experiments : Outcomes, sample, spaces ( set representation ). Events : occurrence of events, `not’, `and’ and `or’ events, exhaustive events, mutually exclusive events Axiomatic ( set theoretic ) probability, connections with the theories of earlier classes. Probability of an event, Probability of `not’, `and’ and `or’ events.

**Unit – I : Relations and Functions**

**Relations and Functions : **Types of relations : reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.

**Inverse Trigonometric Functions : **Definition, range, domain, principal value branches, Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

**Unit II : Algebra**

**Matrices : ** Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and kew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of edition, multiplication and scalar multiplication. Non commutativity of multiplication of matrices and existence of non zero matrices whose product is the zero amt4rix ( restrict to square matrices of order 2 ). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists. ( Here all matrices will have real entries ).

**Determinants :** Determinant of a square matrix ( upto 3 x 3 matrices ), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. A joint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables ( having unique solution ) using inverse of a matrix.

**Unit III : Calculus**

**Continuity and Differentiability :** Continuity and Differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit function. Concept of exponential and logarithmic functions and their derivative. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolle’s and Lagrange’s Mean Value Theorems ( without proof ) and their geometric interoperations.

**Applications of Derivatives :** Applications of derivatives : rate of change, increasing / decreasing functions, tangets and normals, approximation, maxima and minima ( first derivative test motivated geometrically and second derivative test given as a provable tool ). Simple problems ( that illustrate basic principles and understanding of the subject as well as real life situations ).

**Integrals :** Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type

- To be evaluated.
- Define integrals as a limit of sum, Fundamental Theorem of calculus ( without proof ). Basic properties of definite integrals and evaluation of definite integrals.

**Applications of the Integrals : ** Applications in findings the area under simple curves, especially lines, areas of circles / parabolas / ellipse ( in standard form only ), area between the two above said curves ( the region should be clearly identifiable ).

**Differential Equations : ** Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equations of the type :

**Unit IV : Vectors and Three Dimensional Geometry**

**Vectors :** Vectors and scales, magnitude and direction of a vector. Direction cosines / ratios of vectors. Types of vectors ( equal, unit, zero, parallel and collinear vectors ), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio Scalar ( dot ) product of vectors, projection of a vector on a line. Vector ( cross ) product of vectors.

**Three – dimensional Geometry :** Direction cosines / ratios 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 (1) two lines, (ii) two planes, (iii) a line and plane. Distance of a point from a plane.

**Unit V : Linear Programming**

**Linear programming :** Introduction, definition of related terminology such as constraints, objective function, optimization, different types of linear programming ( LP ) problems, mathematical formulation of LP, problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optional feasible solutions ( upto three non trivial constraints ).

**Unit VI : ****Probability**

**Probability :** Multiplication theorem on probability, Conditional probability, independent events, total probability, Baye’s theorem, Random Variable and its probability distribution, mean and variance of haphazard variable. Repeated independent ( Bernoulli ) trials and Binomial distribution.

To know more about AMU 2019 Syllabus **Click Here**

**AMU EEE 2019 Results**

**AMUEEE BTech Exam Date**

AMU EEE B.Tech Entrance test will be conducted on **13th May, 2019**.

**AMU EEE B.Tech Result Date**

AMU EEE 2019 Results likely to be declared in month of **June, 2019**.

**Email Registration for AMUEEE Results 2019**

**Please keep watching this page, to check your AMUEEE Results 2019…**

To know more about AMU 2019 Results** Click Here**

**AMU EEE 2019 Exam Schedule**

Date | Duration | Scheduled Start |
---|---|---|

13th May, 2018 | 3 hours | 10:00 AM |

**AMU EEE 2019 Important Dates**

S.No | Event | Date |
---|---|---|

1 | Last Date for Submission of Application Form | 8th March, 2018 |

2 | Date of AMUEEE Entrance Exam | 13th May, 2018 |

**AMUEEE BE Evening Entrance Exam 2019**

Aligarh Muslim University conducts engineering entrance exam ( AMU EEE ) invites admission Application for B.E ( Evening ) programs for the academic session 2019- 2020.

**AMU EEE 2019 Courses Offered**

Duration | Branch Name | Course Code | Intake |
---|---|---|---|

8 Semester | Civil Engineering | CEBE | 50 |

Electrical Engineering | EEBE | 50 | |

Mechanical Engineering | MEBE | 50 |

**AMU EEE 2019 BE ( Evening ) Eligibility**

Diploma in Engineering in the relevant branch of study or an examination recognized by the University as its equivalent with 50% marks.

**Relevant Branches in the Qualifying Examinations**

Branch Name | Relevant Branches |
---|---|

Civil Engineeing | Diploma in Civil Engineering / Architectural Assistantship / Drafting & Designing ( Civil ) / Civil- Construction Technology / Interior Design. |

Mechanical Engineering | Diploma in Mechanical Engineering / Drafting & Designing ( Mechanical ) / Mechanical Production Engg. / Mech. – Refrigeration & Air Conditioning / Plastic Technology / Leather & Footwear Technology / Automobile Engg |

Electrical Engineering | Diploma in Electrical Engineering / Electrical ( Instrumentation ) / Instrumentation Control / Electronics Engineering / Electronics Engg. ( TV Tech. ) / Information Technology / Computer Engineering. |

**AMU EEE 2019 BE ( Evening ) Exam Pattern**

There shall be one objective type paper of 100 marks comprising 100 questions with 25 questions on Physical Sciences and 75 questions on relevant Engg. Sciences.

**AMU EEE 2019 BE ( Evening ) Application Form**

The Application Form will be available from the official website of **www.amucontrollerexams.com.**

The AMU EEE Admission Test Fee is [rupee] 400/-.

The completed AMU EEE 2019 Application Form should submit to the following address

Admission Section,

Office of the Controller of Examinations, AMU,

Aligarh – 202 002.

Last Date of receipt of AMU EEE Application Form is 8th March, 2018.

**AMU EEE 2019 Selection Process**

The selection will be based through Admission Test.

The Total Merit will have the following components

- Written Test : 100 Marks
- Professional Experience ( if any ) : 25 Marks

**Note :** Candidates having Professional Experience of Government / Semi-Government / Public Sector Undertakings after passing Diploma in Engineering will be additionally awarded 2.5 marks for each year of professional experience subject to a maximum of 25 marks.

**AMU EEE 2019 BE ( Evening) Syllabus**

**B.E. ( Evening ) – ( Civil / Electrical / Mechanical )**

**I – Physical Sciences**

**Mathematics :**Algebra,Trigonometry,CoordinateGeometry, Calculus, Differential Equations,Vector**Physics :**Heating & Chemical effects of current; Thermo-electric effects; SHM, Velocity, acceleration and Types of waves, frequency, wave length and wave velocity, Diffraction and polarization of waves, Cathodes and X-rays, Radioactivity, Nuclear fusion and fission**Chemistry :**Organic Chemistry, Electrochemistry, pH Value and buffer solution, Corrosion, Alloys, Fuels, Water, Environmental Chemistry and

Polymers.

**II – Engineering Sciences**

**B.E. – ( Civil Engg. )**

**Structural Analysis :**Stresses and Strains, Bending moment and shear force, Bending Stresses, Columns, Steel Truss – Simple analysis of steel trusses.**Design of R.C. :**Structure Singly & Doubly Reinforced Beam,Slabs,T-Beam, Columns & Footings**Building Materials and Construction :**Building Materials Building Construction**Irrigation Engineering :**Flow of Water Flow over notches and weirs Flow through Open Channels Methods of Irrigation River training & Cross Drainage Works Dams Canal masonary works.**Environmental Engineering :**Water supply Engineering Sanitary Engineering**Transportation Engineering :**Roads Highway Geometric Design, Highway materials & Constructions, Pavement Design,Traffic Engineering**Railways :**Gauges, Sleepers, Plate Laying, Ballast, Points & Crossings, Train Resistance**Bridges :**Type of Bridges, Loads on Bridges, Design of Bridges**Soil Mechanics :**Index Properties Shear Strength Permeability and Seepage Consolidation & Compaction**Surveying :**Chain Surveying Compass Surveying Plane Table Surveying Levelling Theodolite Traversing

**B.E. ( Electrical Engineering ) **

**Fields and Circuits :**Magnetic Field due to current,Ohm’s and Kirchhoff’s Laws, Faraday’s Law of Magnetic Induction**Electrical Machines and Power Apparatus :**Transformer, D.C. Machines Induction Motor Synchronous Machines Distribution & Transmission Systems.**Instrumentation and Control :**PMMC, PI, Dynamometer type instruments, bridges, CRO, Transducers, Time domain and frequency domain analysis, controllers.**Electronics :**Binary numbers, logic gates transistors, diodes, OPAMP, display devices, telemetry.

**B.E. ( Mechanical Engg )**

- Theory and Design of Machines
- Hydraulic and Hydraulic Machines
- Thermodynamics and H.P. Engineering
- Production and Industrial Engineering

**AMU EEE 2019 Results**

**AMU EEE Exam Date**

AMU EEE BE Evening Entrance Exam was conducted on **2nd June, 2019**.

**AU EEE Result Date**

AMU EEE 2019 Result has been declared

**http://www.amucontrollerexams.com/results/BT_SEL18.pdf**

**AMU EEE 2019 Important Dates**

S.No | Event | Date |
---|---|---|

1 | Last Date for Submission of Application Form | 8th March, 2018 |

2 | Date of AMUEEE BE Evening Entrance Exam | 2nd June, 2018 |

**AMU EEE B.Arch Entrance Exam 2019**

Aligarh Muslim University conducts engineering entrance exam ( AMU EEE ) invites admission Application for B. Arch programs for the academic session 2019 – 2020.

**B.Arch Programs**

- Duration : 10 semesters
- Course Code : ARCB
- Intake : 20.

**AMU EEE 2019 B.Arch Eligibility**

- Senior Secondary School Certificate Examination of this University or an equivalent examination with at least 50% marks in aggregate of English, Physics, Chemistry and Mathematics. ( or )
- Diploma in Engineering of this University with at least 50% marks in aggregate.

**AMU EEE 2019 Exam Pattern**

There shall be two papers of equal weightage :

- Paper-I : Common with B.Tech. applicants (details are provided under B.Tech. program ) and the candidate must appear in the paper I, if they opt. B.Arch. course.
- Paper-II (Architecture Aptitude Test): It shall contain some descriptive questions and Test of Drawing.

**Note :**

- Candidates should secure atleast 40% marks in Paper-II ( Architecture Aptitude Test ) to become eligible for selection
- Candidates are advised to bring their own drawing and sketching material like pencils, eraser, sharpner, pen, ink, Pencil Colours, Water Colours etc. Drawing Sheets and / or Answer Booklet shall be provided to the candidates.
- Candidates including Rank Holders of Diploma in Engineering Branch of AMU / Foreign Nationals / NRIs seeking admission to B.Arch. Course, are compulsorily required to appear and secure 40% marks in the B.Tech. / B.Arch. Test ( Architectural Aptitude Test-Paper – II ) conducted by the AMU as stipulated by the Council of Architecture for registration as an Architect.

**AMU EEE 2019 Application Form**

The Application form will be available from the official website of **www.amucontrollerexams.com.**

The AMU EEE Admission Test Fee is [rupee] 700/-.

The completed AMU EEE 2019 Application Form should submit to the following address :

Admission Section,

Office of the Controller of Examinations, AMU,

Aligarh – 202 002.

Last Date of receipt of AMU EEE 2018 Application Form is **8th March, 2019**.

**Note :** Candidates applying for admission to B.Arch. can also apply for admission to B.Tech. on the same Application Form without paying additional Admission Test fee. However, they should clearly indicate their choices, in order of preference, in the Application Form.

**AMU EEE 2019 Selection Process**

The AMU EEE Selection will be based through AMU EEE 2019 Admission Test.

**AMU EEE 2019 B.Arch Results**

**AMU EEE Exam Date**

AMU EEE B.Arch Entrance test was conducted on **13th May, 2019**.

**AMU EEE Result Date**

AMU EEE 2019 Entrance Exam Result has been declared

**http://www.amucontrollerexams.com/results/BARCH_SEL18.pdf**

**AMU EEE 2019 Important Dates**

S.No | Event | Date |
---|---|---|

1 | Last Date for Submission of Application Form | 8th March, 2018 |

2 | Date of AMU EEE B.Arch Entrance Exam | 13th May, 2018 |

**AMU EEE M.Tech Entrance Exam 2019**

Aligarh Muslim University conducts engineering entrance exam **( AMU EEE )** invites admission Application for** ****M.Tech **programs for the academic session **2019 – 2020.**

**AMU EEE 2019 M.Tech Course Details**

Course | Duration | Course Code | Intake | Specialization |
---|---|---|---|---|

Chemical Engineering | 4 Semesters | KEMT | 20 | Process Modelling and Simulation Computer Aided Design of Process Plant |

Civil Engineering | 4 Semesters | CEMT | 58 | Hydraulic Structure - 16 Structural Engineering - 16 Environmental Engineering – 16 Geotechnical Engineering - 10 |

Computer Engineering | 4 Semesters | COMT | 16 | Computer Science & Engineering ( Software Engineering ) |

Electrical Engineering | 4 Semesters | EEMT | 44 | Instrumentation and Control Power System and Drives High Voltage and Insulation Engineering |

Electronics Engineering | 4 Semesters | LEMT | 32 | Communication and Information System. Electronic Circuits and System Design. |

Mechanical Engineering | 4 Semesters | MEMT | 60 | Thermal Engineering Industrial and Production Engineering Machine Design |

Petroleum Studies | 4 Semesters | PEMT | 16 | Petroleum Processing and Petrochemical Engineering |

Nanotechnology | 4 Semesters | NTMT | 15 |

**AMU EEE 2019 M.Tech Eligibility**

- B. Tech or its equivalent examination in the relevant branch of study with not less than 60% marks in aggregate or its equivalent CPI / CGPA / NAG. ( OR )
- M. Sc. ( Physics / Chemistry ) with not less than 60% marks.
- Through Admission Test. Allocation of specialization shall be offered through Counselling

**Note : **1 ) Candidates belonging to Mechanical, Chemical, Petrochemical, Metallurgy, Mining and Agricultural Engineering branches are also eligible for admission to M. Tech. ( Environmental Engg. )

**AMU EEE 2019 M.Tech Exam Schedule**

M.Tech Courses | Date | Duration | Scheduled Start |
---|---|---|---|

Chemical Engineering | 02nd June, 2018 | 2 hours | 9.00 AM |

Civil Engineering | 03rd June, 2018 | 2 hours | 9.00 AM |

Computer Engineering | 05th June, 2018 | 2 hours | 9.00 AM |

Electrical Engineering | 4th June, 2018 | 2 hours | 9.00 AM |

Electronics Engineering | 06th June, 2018 | 2 hours | 9.00 AM |

Mechanical Engineering | 04th June, 2018 | 2 hours | 2.00 PM |

Petroleum studies | 03rd June, 2018 | 2 hours | 2.00 PM |

Nanotechnology | 07th June, 2018 | 2 hours | 9.00 AM |

**AMU EEE 2019 M.Tech Selection Procedure**

Based on candidates performance in GATE ( applicable only for GATE qualified candidates with 50% or above GATE Score, valid at the time of admission )

**Note :** All other candidates shall be selected on remaining vacancies through Departmental Test.

**AMU EEE 2019 M.Tech Test Paper Details**

There shall be one objective type paper.

**AMU EEE 2019 M.Tech Application Form**

- The candidates can apply
**Online**for AMU EEE 2019. - The AMU EEE Admission Test Fee is [rupee] 400/-.
- The completed AMU EEE 2019 Application Form should submit to the following address

Chairman’s Office,

Department of Applied Physics,

AMU, Aligarh –202002 - Last Date of receipt of AMU EEE 2019 M.Tech Application Form :
**20th March, 2019.** - Last Date of PDF Generated copy at the counter / Registered Post
**: April, 2019.**

**AMU EEE 2019 M.Tech Results**

**AMU EEE 2019 M.Tech Exam Date
**

- AMU EEE 2019 M.Tech Chemical Engineering :
**02nd June, 2019** - AMU EEE 2019 M.Tech Civil Engineering :
**03rd June, 2019** - AMU EEE 2019 M.Tech Computer Engineering :
**05th June, 2019** - AMU EEE 2019 M.Tech Electrical Engineering :
**04th June, 2019** - AMU EEE 2019 M.Tech Electronics Engineering :
**06th June, 2019** - AMU EEE 2019 M.Tech Mechanical Engineering :
**04th June, 2019** - AMU EEE 2019 M.Tech Petroleum Studies :
**03rd June, 2019** - AMU EEE 2019 M.Tech Nanotechnology :
**07th June, 2019**

**AMU EEE 2019 M.Tech Exam Result Date
**

**AMU EEE 2019 M.Tech Result Date : **AMU EEE 2019 Entrance Exam Results likely to be declared in the month of **July, 2019**

**Email Registration for AMU EEE Entrance Exam Results 2019**

**Please keep watching this page, to check your AMU EEE Entrance Results 2019…**

**Contact Details**

Aligarh Muslim University,

Aligarh, India,

**Phone No.** : 91 – 571 – 2700935, 2700920 – Extension ( 1161 ),

**Email : **amucontrollerexams@gmail.com,

**Website : www.amu.ac.in**.