IP University CET Syllabus for MBA
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A good command over General English, Computer awareness and Mathematics will help you to crack IPU CET MBA 2018 exam. · Derivatives of inverse trigonometric functions by first principles hyperbolic and inverse hyperbolic functions and their derivatives w.
Two and three dimensional vectors as ordered pair and ordered triplet respectively of real numbers-components of a vector, Addition, subtraction, scalar multiplication of a vector. IPU CET 2019 Exam Pattern for B. Extrinsic and intrinsic semiconductors, p-n junction diodes- its characteristics, tunnel diode, zener diode, photodiode, LED, photovoltaic cell, Hall effect in semiconductors, transistor characteristics common base, common emitter, common collector.
Syllabus for MBA Entrance IP University - · Solution of triangles given i three sides ii two sides and the included angle iii two angles and a side iv two sides and the angle opposite to one of these sides.
Title: query about entrance test please tell me the syllabus of CET test cunducted for MBA by ip university of delhi. Problems · Sound: Properties, velocity in gases, Newton - Laplace formula, factors affecting velocity - intensity and loudness, units, Noise and Music beats as an example of superposition of waves, Doppler effect, formula for general case, discussion for individual cases. Problems · Stationary waves: Modes of vibration in pipes, laws of vibration of stretched strings, sonometer, Problems. · Ultrasonics: Production mention of methods , properties and applications · Acoustics of buildings: reverberation, Sabine's formula mention , requisites for good acoustics and methods of achieving them. PHYSICAL OPTICS · Introduction to theories of light · Interference of light: Coherent sources, Young's double slit experiment, expression for path difference, conditions for constructive and destructive interference, width of interference fringes. Problems · Diffraction of light: Fresnel and Fraunhofer diffraction, Fraunhofer diffraction through a single slit qualitative explanation , limit of resolution, Rayleigh's criterion, resolving powers of telescopes and microscope. Problems · Polarisation of light: transverse nature of light waves, methods of producing plane polarised light, Brewster's law, double refraction, dichroism, polariods and their applications, optical activity and specific rotation. ELECTROSTATICS · Electric charge: Coulomb's law, dielectric constant, SI unit of charge, electric intensity and potential, relation connecting them, derivation of expression for potential at a point due to an isolated charge. Gauss theorem and applications, intensity at a point a due to a charged spherical conductor b near the surface of a charged conductor, Problems · Capacitors: parallel plate, spherical, cylindrical, expressions for the capacitances, principle of a capacitor, effect of dielectric, energy stored in a capacitor, combination of capacitors, uses, Problems 4. CURRENT ELECTRICITY · Different effects of electric current: potential difference, resistance, colour code, Ohm's law and its limitations, variation of resistance of a conductor with length- area of cross section and temperature, resistivity, superconductivity, thermistor and its applications, combination of resistors, EMF of a cell, current in a circuit, branch currents, grouping of cells, expression for different cases, potentiometer, problems · Kirchhoff's laws: Condition for balance of a Wheatstone's bridge, metre bridge, Problems · Magetic effect of current: direction of field, right hand clasp rule and magnitude - Laplace's law, force on a charged particle moving across a magnetic field qualitative , magnetic field strength, flux density, magnetic flux density at a point on the axis of a a circular coil carrying current derivation , b a solenoid carrying current without derivation , tangent law, tangent galvanometer with theory , Problems · Force on a current carrying conductor in a magnetic field: Fleming's left hand rule, force between two parallel conductors carrying current, definition of ampere, suspended coil galvanometer with theory , conversion of galvanometer into ammeter and voltmeter, Problems · Magnetic materials: Intensity of Magnetising field H , intensity of magnetisation I and magnetic induction B - relation connecting them, permeability and susceptibility, properties of dia, para and ferromagnetic substances, hysteresis cycle and its significance, retentivity and coercivity, uses of magnetic materials. MODERN PHYSICS · Introduction to modern physics: types of spectra, E. · Quantum theory of radiation: Explanation and applications of photoelectric effect, atom models, Bohr's theory of hydrogen atom, derivation of expressions for orbital radius, orbital velocity, energy of electron and wave number, spectral series, energy level diagram, de Broglie matter waves, Problems. · Nuclear Physics: Nuclear size, charge, mass and density, constituents, amu in terms of electron volts, magnetic moment and nuclear forces, mass defect and binding energy, nuclear fission, chain reaction, critical size, nuclear reactor, nuclear fusion, stellar energy, radiation hazards, Problems. · Radioactivity: Properties of radioactive radiations, decay law, decay constant, Soddy's group displacement law, half life and mean life, expression for half life, radio isotopes and their uses, Problems. · Solid state electronics: Band theory of solids qualitative , classification into conductors, insulators and semi conductors, p-type and n-type semi conductors, characteristics of p-n junction, rectifying action of diode, half wave and full wave rectifiers. INTRODUCTION Introduction to Physics SI units - dimensions - dimensional formulae - dimensional analysis - limitations Scalars and vectors - unit vector - vector addition - resolution of a vector - scalar and vector products 2. DYNAMICS Motion of a particle in one dimension - derivations of equations of motion velocity - time curve. STATICS Coplanar concurrent forces - resultant of two forces - magnitude and direction derivation equilibrium of three forces - law of triangle of forces - Lami's theorem - problems Moment of a force - law of moment statement - application to find the resultant of two parallel forces - couple - statement of conditions of equilibrium of parallel forces - problems 4. HYDROSTATICS AND HYDRODYNAMICS Hydrostatics - fluid thrust and pressure - atmospheric pressure units pressure at a point due to a liquid - Archimedes' principle statement - problems Hydrodynamics - streamline and turbulent flow - Bernoulli's theorem - explanation with examples Surface tension - cohesion and adhesion - surface tension and angle of contact - capillary rise without derivation Viscosity - velocity gradient - co-efficient of viscosity - Poiseuille's formula for the flow of a liquid through a capillary tube and Stoke's law without derivation 5. GEOMETRICAL OPTICS Introduction to light - optical medium - rectilinear propagation of light Reflection of light - laws of reflection - reflection at curved surfaces - image formation in the case of spherical mirrors - mirror formula without derivation - sign convention - problems Refraction at a plane surface - laws of refraction - absolute and relative refractive indices Symbol n to be used for RI - refraction through multiple refracting media - lateral shift and normal shift expressions without derivation - total internal relection - conditions for total internal relection - relation between critical angle and refractive index n - applications of optical fibres and total reflecting prisms - problems Refraction through a prism - derivation of the expression for the refractive index n of the material of a prism in terms of A and D - dispersion through a prism - deviation produced by a thin prism - dispersive power - prism combination for dispersion without deviation - problems Refraction at spherical surfaces - derivation of the relation connecting n,u,v and r for refraction at a spherical surface concave towards point object in denser medium - refraction through a lens - lens maker's formula - power of a lens - Image formation in the case of thin lenses, linear magnification - lenses in contact - problems Spherical and chromatic aberrations - qualitative discussion - achromatic combination of lenses Optical instruments - microscopes, telescopes, prism binoculars, direct vision spectroscope and spectrometer qualitative Photometry - basic concepts - units - principle of photmetry - problems Chemistry 1. THERMODYNAMICS AND THERMOCHEMISTRY Law of conservation of energy - Mechanical work done. Isothermal and adiabatic changes - concept of enthalpy - enthalpy of reaction, formation, solution, combustion, transition and neutralisation - constancy of enthalpy of neutralisation of a strong acid and a strong base Thermochemical equations - Laplace - Lavoisier law - Hess's law. CHEMICAL EQUILIBRIUM Law of mass action, application of law of mass action to the following systems: i 2HI H2 + I2 ii N2 + 3H2 2NH3 Derivation of KP for both reactions Le-Chatelier's principle and its application to the synthesis of Ammonia. Free energy change - standard free energies - Idea of a system tending to attain a state of minimum free energy and maximum entropy. Relationship between free energy change and equilibrium constant. REACTION KINETICS Order and molecularity of a reaction. Derivation of the equation for the velocity constant of a first order reaction - Half life period - Relationship between half life period and order of the reaction - Experimental study of the acid hydrolysis of methyl acetate. Influence of temperature on the velocity of a reaction - Arrhenius theory - Arrhenius factor and energy of activation. SURFACE CHEMISTRY · Adsorption - Distinction between adsorption and absorption. Types of adsorption - adsorption of gases on solids. · Colloids - Distinction between colloids and crystalloids - classification, preparation of colloids electrical and chemical methods, one method each , Purification by dialysis - Properties: Tyndall effect and Brownian movement. Application in food, medicine, precipitaion of smoke. · Catalysis - Characteristics - Influence of catalyst on reaction path. Theories of catalysis Intermediate compound theory and adsorption theory 5. ELECTROCHEMISTRY · Arrhenius theory of electrolytic dissociation - merits and demerits. Ionic conduction by migration. Definition of specific, equivalent and molar conductivities - strong and weak electrolytes. · Acids and bases - Bronsted - Lowry concept - Lewis concept. Acid-Base equilibrium, Hydrogen ion concentration - pH scale - pK values. · Buffers - Buffer equation Henderson's equation to be assumed. Importance of buffer solutions. · Ionic equilibrium - solubility product, common ion effect. Applications of solubility product in qualitative analysis. · Electrode potential - Nernst equation to be assumed, Standard electrode potential - Hydrogen electrode - Electro-chemical series and its significance - corrosion of metals. Structure of ionic crystals. Ionic radii - imperfections in solids - superconductivity. RADIOACTIVITY · Natural radioactivity - Properties of alpha, beta and gamma radiations - rate of disintegration - Half life period - Isotopes - separation by thermal diffusion method. · Artificial radioactivity - Rutherford's artificial nuclear reaction. METALLURGY General principles of metallurgy - Concentration of ores gravity process, magnetic separation and froth flotation - Extraction of crude metal pyrometallurgy, hydrometallurgy and electro-metallurgy , Refining Liquation, poling, electrolytic method Occurrence, extraction, properties and uses of Sodium, Copper, Aluminium and Iron. Role of iron and sodium in biological systems. Manufacture of steel by LD process, Properties of steel carbon content Heat treatment - alloy steels. COORDINATION COMPOUNDS Postulates of Werner's theory - Sidgwick's interpretation - concept of EAN using Potassium ferrocyanide, potassium ferricyanide and cuprammonium sulphate. MANUFACTURE, properties, uses of Sodium hydroxide Nelson's cell , Sodium Carbonate - Alum. ORGANIC CHEMISTRY · Preparation, Properties and Uses of the following: · Alkyl halides 1 Ethyl bromide and isopropyl chloride 2 Vinyl chloride · Aromatice halogen compounds: 1 Chlorobenzene and benzyl chloride, comparison of reactives with alkyl halides. · Alcohols - Ethyl alcohol Manufacture from molasses , Benzyl alcohol · Phenol · Aldehydes and ketones - Formaldehyde, Acetaldehyde, Benzaldehyde, Acetone, Acetophenone. · Acids - Formic, Acetic, Benzoic, Salicylic acids. · Esters - Ethyl acetate, Ethyl benzoate · Amines - Methylamine, Aniline 12. POLYMERS Classification - Synthetic and natural, preparation and uses of polythene, nylon, terylene. CARBOHYDRATES Classification - Monosaccharides - open and ring structure of glucose, fructose, galactose Oligosaccharides - Ring structure of sucrose, maltose and lactose Polysaccharides - Partial representation of structure of cellulose, starch and glycogen - Carbohydrates as a source of energy. OILS AND FATS Chemical nature of fatty acids - saturated and unsaturated fatty acids - Examples. Triglycerides - General structure of triglycerides - Hydrolysis with acid and saponification. Rancidity - Refining and hydrogenation of oils - drying oils. PROTEINS Amino acids as building units of proteins. General structure of amino acids such as glycine, alanine, serine, cysteine, aspartic acid, lysine, tyrosine, peptide linkage. Functional properties of proteins as enzymes, antibodies, transport agents, biochemical messengers hormones-insulin and oxytocin and structural material. NUCLEIC ACIDS Types - DNA and RNA - Components - purine and pyrimidine bases, sugars and phosphates - Biological importance of nucleic acids. CHEMOTHERAPY Antipyretics - Aspirin, Antibiotics - Penicillin, Analgesics - Paracetamol Antiseptic - chloroxylenol dettol , Antimalarial - chloroquine Tranquilizers - Barbituric acid · Structure and uses of the above. KINETIC THEORY OF GASES Postulates, Derivation of expression for pressure of a gas. Expression for Kinetic energy and RMS velocities of gases problems based on these Ideal and real gases. Deviation of real gases from ideal behaviour. Derivation of Van der Waal's equation. STOCHIOMETRY Mole concept and Avogadro number Problems Atomic weight: Definition with evaluation of atomic weight by Dulong and Petit's law problems Equivalent weight of elements ; definition, methods of determination hydrogen displacement, oxide and chloride methods problems Equivalent weights of acids and bases, oxidising, reducing agents. Concept of normality, molality and molarity. Volumetric analysis: Calulations involving acid-base and red-ox titrations. Problems Empirical and Molecular formula from % composition problems Relation between vapour density and molecular weight. Molecular weight of oxygen and carbon dioxide and volatile liquids Victor Meyer's method problems 3. Bohr's theory-postulates derivation of expression of energy and radius to be omitted spectrum of Hydrogen Balmer, Lyman and Brackett series. Explanation on the basis of Bhor's theory. Quantum numbers - Orbital concepts. Electronic configuration of atoms elements upto atomic number 30 4. LONG FORM OF PERIODIC TABLE Based on electronic configuration of elements-periodic properties - ionisation energy and electron affinity, atomic and ionic radii. Shapes of molecules CH4, C2H4 and C2H2 Hydrogen bonding - anamolous properties of water. SPECIFIC MATTER Ozone: Preparation and properties, Ozon layer. Hydrogen peroxide: preparation, concentration, properties and uses. Sulphur: Preparation, properties and uses of SO2, Manufacture of H2SO4 by contact process, properties and uses. Nitrogen: Nitric acid - Manufacture by Ostwald's process, properties and uses. Nitrogenous fertilizers - manufacture of ammonium sulphate from gypsum, CAN, urea, Nitrogen cycle. Halogens: Preparation, properties and uses of flourine. Manufacture of chlorine Nelson cell - properties and uses. Bromine from sea water. Iodine from sea weeds. Commericial production, properties and uses of carbon monoxide. Silicon: Occurrance, preparation, semiconducting properties n and p type , silicate glasses. Phosphorus: Occurrance, manufacture electrothermal process Structure of oxyacids of phosphorus. Super phosphate of lime. Ceramics: Clay properties - white pottery porcelain's process or china process Applications. ORGANIC CHEMISTRY IUPAC nomenclature to be adopted Aliphatic hydrocarbons: saturated and unsaturated hydrocarbons. Preparation, properties and uses of methane, ethylene and acetylene - homologous series Isomerism - chain, functional and position Concepts of free radicals - electrophiles and nucleophiles to be illustrated with the study of mechanism involving - 1 chlorination of methane 2 addition of bromine to ethylene and 3 addition of hydrogen chloride to propylene Markownikoff's rule Petroleum - Theory of formation, cracking catalytic and thermal fractionation, synthetic petrol Destructive distillation of coal - separation of benzene, toluene, naphthalene from coal tar. Properties of benzene and toluene. Mechanism of halogenation, nitration, sulphonation and Friedel - craft's alkylation Biogas- Production and uses. ENVIRONMENTAL POLLUTION · Pollutants, definition - types of pollution, air - Automobile exhaust smoke, CO, oxides of nitrogen and lead. Mathematics ALGEBRA · Set theory: Recapitulation of sets. · Mathematical Logic: Proposition and truth values, connectives, their truth tables, inverse, converse, contrapositive of a proposition. Tautology and contradiction, Logical Equivalence- standard theorems. Examples of switching circuits. · Matrices and determinants: Recapitulation of types of matrices and problems. Minor and cofactor of an element of a square matrix, adjoint, singular and non-singular matrices. Solution of a system of linear equations in two and three variables - i Matrix method, ii Cramer's rule. Characteristic equation of a square matrix. Characteristic roots of a square matrix, Cayley Hamilton theorem statement only , Verification of Cayley Hamilton theorem for square matrices of order 2 and 3 only. Finding A-1 by Cayley Hamilton theorem. · Vector: Recapitulation of a vector as directed line segment, magnitude and direction of a vector, equal vectors, unit vector, position vector of a point. Two and three dimensional vectors as ordered pair and ordered triplet respectively of real numbers-components of a vector, Addition, subtraction, scalar multiplication of a vector. Position vector of the point dividing a given line segment in the given ratio. Scalar dot product, Vector Cross product of two vectors, Scalar triple Box product of three vectors, vector triple product of three vectors and their properties. Application of these to the area of a parallelogram, area of a triangle, Volume of a parallelopiped, orthogonal vectors and coplanarity of three vectors, projection of one vector on another vector. Work done, moment of a force about a point, moment of a couple about a point, the diagonals of a parallelogram bisect each other, angle in a semi circle is a right angle, medians of a triangle are concurrent. · Groups: Binary operation, Algebraic structures. Definition of semigroup, group, Albelian group - Examples from real and complex numbers. Finite and infinite groups, order of a group, composition tables, modular systems, modular groups, group of matrices - Problems. Permutations, symmetric group of order 3. · The inverse of an element of a group is unique. · Left and right cancellation laws. Subgroups, proofs of necessary and sufficient conditions for a subgroup. Equation of a circle with x1, y1 and x2, y2 as the ends of a diameter, general equation of a circle, centre and radius. Derivations of all these. Equation of the tangent to a circle - Derivation. Length of the tangent from an external point to a circle - Derivation, Problems. Power of a point, radical axis of two circles, radical centre of a system of three circles - Derivation, Problems. Condition for a point to be inside or outside or on a circle. Orthogonal circles - Derivation of the condition. Co-axal system, limiting points, conjugate system. Conic Sections: Definition by focus - directrix property, eccentricity, definition of Parabola, Ellipse, Hyperbola, Rectangular hyperbola. Derivation of standard equation of ellipse. Equation of other forms of ellipse statements only. Standard properties of parabola. Derivation of standard equation of ellipse. Equation of other forms of ellipse statements only. Standard properties of ellipse. Derivation of standard equation of hyperbola. Equations of other forms of hyperbola statemnets only Standard properties of hyperbola. Equations of tangent and normal to Derivations and problems. TRIGONOMETRY · Inverse Trigonometric Functions: Definition of inverse trigonometric functions, domain and range. Derivations of standard formulae. Solutions of inverse trigonometric equations. Complex Numbers: Definition of a complex number as an ordered pair, real and imaginary parts, modulus and amplitude of a complex number, equality of complex numbers. Algebra of complex numbers, polar form of a complex number, Argand Diagram. Exponential form of a complex number. De Moivre's theorem - statement and proof, method of finding square roots, cube roots and fourth roots of a complex number and their representation in the Argand diagram. CALCULUS · Continuity and differentiation: Continuity of a fnction, sum of two functions, polynomial, trigonometric function, exponential function, inverse trigonometric function. · Differentiation - Differenctiability. Derivative of a function by first principles. Differentialbility implies continuity by the converse is not true proof and example respectively. Derivatives of sum, difference, product of a constant and a function, constant, product of two functions, quotient of two functions by first principles. Derivatives of xn, ex, ax, sinx, cos x, tan x, cosec x, sec x, cot x, log x by first principles. · Derivatives of inverse trigonometric functions by first principles hyperbolic and inverse hyperbolic functions and their derivatives w. · Composite functions - Chain rule. · Differenctiation of inverse trigonometric functions by substitution. · Differenctiation of implicit functions, parametric functions, a function w. · Successive differentiation - Problems of finding second derivatives, deriving second order differential equations. · Subtangent and subnormal. · Derivative as the rate measure. · Maxima and minima of a function of a single variable - Problems. Also problems involving two dimensional figures only. · Interation: Statement of fundamental theorem of integral calculus. Intereation as the reverse process of differentiation. Standard for mulae, methods of integration i substitution ii partial fractions iii integration by parts. Interals of : · Definite Intregrals: Evaluation of definite integrals, properties of definite integrals. · Application of Definite Integrals: Area under a curve, area enclosed between two curves usig definite integrals, standard areas likearea of circle, ellipse, parabola etc. · Differential Equations: Definition of order and degree of a differential equation. Formation of a first order differential equation. THEORY OF INDICES AND LOGARITHMS · Recapitulation of theory of Indices - problems · Laws of logarithms with proof - problems 2. PROGRESSIONS · Recapitulation of sequences of real numbers, finite and infinite sequences as mappings. · Definition of infinite series, A. Derivation and problems · Conditions for parallelism and perpendicularity of two lines - problems · Various forms of the equation of a straight line : slope - point form, slope - intercept form , two point form, intercept form, Normal form - Derivations - problems · Angle between two lines, point of intersection of two lines, condition for concurrency of three lines, Length of the perpendicular from the origin and from a point to a line, Equation of the inernal and external bisector of the angle between two lines - Derivations, problems · Pair of lines - Homogeneous equation of second degree, general equation of second degree, derivations of 1 condition for pair of lines, 2 condition for a pair of parallel lines, perpendicular lines and distance between the pair of parallel lines, 3 condition for a pair of coincident lines 4 angle and point of intersections of a pair of lines - problems. CALCULUS · Functions of a real variable, types of functions, periodic functions, functional value - problems. MEASUREMENT OF ANGLES AND TRIGONOMETRIC FUNCTIONS · Radian measure - Definition. · Trigonometric ratios of an acute angle. · Trigonometric identities with proofs , problems · Trigonometric functions of standard angles, problems. · Trigonometric functions of allied angles, compound angles, multiple angles, submultiple angles and Transformation formulae with proofs - problems. · Heights and distances - Angle of elevation, angle of depression, problems. · Graphs of Trigonometric functions 12. RELATIONS BETWEEN SIDES AND ANGLES OF A TRIANGLE · Sine rule, Cosine rule, Tangent rule, Half-angle formulae, area of a triangle, projection rule with proofs - problems. · Solution of triangles given i three sides ii two sides and the included angle iii two angles and a side iv two sides and the angle opposite to one of these sides.
MBA CET Official syllabus and marking scheme notification out
Biology Subject Topic Detailed Syllabus Biology History of earth, theories of origin of life nature of the earliest organism Basic rules of classification and nomenclature, Classification-two kingdom, five kingdom — brief introduction to kingds, three domain sol and structure of viroids, prions and virus HIV, TMV, BacteriophageProkaryote Bacteria-cell structure, nutrition, reproductionProtista, Fungi, Plantae and Animalia. Graphing equations and in Equations 9. Derivatives General Mental Ability tests: 1. Compare Colleges College Comparison based on Courses, Placement, Rank, Fee conducts common entrance tests for those who glad for admissions into its UG and PG courses. Measurement of displacement, velocity and acceleration translational and rotationalforce, torque, vibration and shock, Measurement of pressure, flow, temperature and liquid level, Measurement of pH, conductivity, viscosity and humidity Control System Principles of feedback, transfer function; block diagrams; steady-state errors, Prime control system components; block diagrammatic description, reduction of block diagrams. Course Contents: Unit I lectures:-6 Introduction to Business Economics and Fundamental concepts Nature, Scope, Definitions of Business Economics, Difference Between Business Economic and Economics, Contribution and Application of Business Economics to Business. Candidates who seek admissions into the glad courses offered by the university are advised to take a look into the syllabus for the programme of their choice. Every student shall apply on prescribed Examination form with Examination fee as prescribed by the University from time to time within the due dates notified. Tech course must have met their secondary education in science stream. The students shall be informed in advance about the nature of assignment and procedures to be followed. Therefore, it is advised that they go through the topics and their weightage breakup so that they know what topics have the maximum number of marks allotted to them and study accordingly.
