7. Last Date: The last date for submission of completed application form is usually in the month of March of the year of admission.

8. Selection: The eligible candidates are required to appear at a Combined Entrance Examination (CEE) conducted by University of Delhi, at Delhi only for admission to B.E. course.

Medium of Examination: English only.

10. Examination Centre: Delhi only.

DETAILED SYLLABUS

PHYSICS
Measurement: System of units; fundamental and derived units. Dimensional analysis; order of magnitude. Accuracy and errors in measurements.
Motion in One Dimension: Motion in a straight line. Uniform motion, its graphical representation and formulae, speed and velocity, relative velocity. Uniformly accelerated motion, its velocity ­position time graph-time graph, and formula, General relation between position and velocity, application to uniformly accelerated motion, acceleration in general one-dimensional motion.
Motion in Two and Three Dimensions: Vectors in two dimensions, vector addition and multiplication by a real number, zero vector and properties. Resolution of a vector in a plane, rectangular components. Motion in two dimensions, case of uniform acceleration, general relation among position-velocity-acceleration for motion in a plane, uniform circular motion. Motion of object in three dimensional space.

In a Plane Laws of Motion: Force and inertia first law of motion. Momentum, second law of motion, impulse, some kind of forces in nature. Third law of motion, conservation of momentum, rocket propulsion. Equilibrium of concurrent forces. Inertial and non ­inertial frames.
Work, Energy and Power: Scalar product of vectors, work done by constant force and by available force, units of work, kinetic energy, power. Elastic collisions in one and two dimensions. Potential energy, gravitational potential energy and its conversion to kinetic energy, potential energy of a spring. Different forms of energy, mass-energy equivalence, conservation of energy.
Rotational Motion: Inter-dependence of Newton's laws of motion, centre of mass of a two particle-system, momentum, conservation and centre of mass motion. Centre of a rigid body, general motion of a rigid body, nature of rotational motion of a single particle in two dimensions only, torque, angular momentum and its geometrical and physical meaning, conservation of angular momentum, comparison of linear and rotational actions, properties of moment of inertia­ parallel axis and perpendicular axis theorems.
Gravitation: Acceleration due to gravity, one dimensional motion under gravity, two-dimensional motion under gravity. Universal law of gravitation, the gravitational constant, mass of the earth, inertial and gravitational mass, variation in the acceleration due to gravity of the earth, geostationary satellites. Gravitational potential energy near the surface of earth, gravitational potential, escape velocity.
Properties of Matter: Inter-atomic and inter-molecular force, state of matter.
(a) Solid: Crystalline and glassy solids, Hooke's law, Young's modulus, stress vs. strain bulk modulus, pure shear.
(b) Fluids: Fluid pressure, Pascal's law, hydraulic, life effect of gravity, atmospheric pressure, Buoyancy, Archimede's principle, surface energy and surface tension, drops and bubbles capillary rise, detergents and surface tension. Viscosity, sphere falling through a liquid. Streamline flow, Reynold number, Bernolilli's theorem.
(c) Gases: Kinetic theory of gases, pressure, kinetic energy and temperature, absolute temperature, gas law and Avogadro’s number.
Heat and Thermodynamics: Mechanical equivalent of heat, specific heat at constant volume and constant pressure of ideal gas, calorimeter. First law of thermodynamics. Thermodynamic state, equation of state and isotherms, pressure-temperature phase diagram. Thermodynamic processes (reversible, irreversible, isothermal, adiabatic), heat engines (Cannot cycle), second law of thermodynamics, efficiency of heat engines. Conduction, convection and radiation.
Oscillation: Periodic motion, simple harmonic motion (S.H.M.) Oscillation due to a spring, kinetic energy and potential energy in S.H.M. simple pendulum. Forced oscillations, resonance and damped oscillations.
Waves : Wave motion, speed of wave, principle of super- position, reflection of wave, harmonic waves, standing wave, and normal modes. Beats, Doppler's effect. Musical scale. Accoustics of building. .
Electrostatics: Coulumb's law, dielectric constant, electric field, electric field due to a point charge, dipole, dipole field and dipole behaviour in a uniform 2_dimensional electric field. Flux, Gauss's law in simple geometries, conductors and insulators, presence of free charges and bound charges inside a conductor. Capacitance (parallel plate) series and parallel, energy of capacitor, high generators, atmospheric electricity.
Current Electricity: Source of e.m.f. (secondary chargeable), electric current, resistance of different materials, temperature dependence, thermistor, specific resistivity, colour code for carbon resistance, Ohm's law, Kirchoff's law, resistances in series and parallel, series and parallel circuits, wheatstone's bridge measurement of voltages and current, potentiometer.
Thermal and Chemical effect of Currents: Electric power, heating effects of currents, chemical effects and laws of electrolysis, simple concepts of thermo electricity.
Magnetic Effects of Currents: Oersted's observation, Biot-­Savart law (magnetic field due to a current element), magnetic field due to a straight wire, circular loop and a solenoid. Force on a moving charge in a magnetic field (Lorentz force) example, forces and torques on currents in a magnetic field, forces between two currents, definition of ampere, moving coil galvanometer, ammeter, voltmeter.
Magnetism: Bar magnet (comparison with a solenoid), lines of force, torque on a bar magnet in a magnetic field, earth's magnetic field, tangent galvanometer, vibration magnetometer, para, dia and ferro-magnetism.
Electromagnetic Induction and Alternating Currents: Induced e.m.f., Faraday's law, Lenz's law, induction, self and mutual inductance. Alternating currents, impedance and reactance, power in a.c., circuits with L, C & R series circuits, resonant circuits (Phasor diagram) and electrical machines and devices (transformer, induction coil, generator, simple motors, choke and starter).
Electromagnetic Wave: Electromagnetic oscillations, Electromagnetic spectrum. (radio, micro-waves, infrared, optical, ultraviolet, X-rays, and gamma rays) including elementary facts about their uses and propagation, properties of the atmosphere w.r. t. various parts of electromagnetic spectrum.
Ray Optics: Ray optics as limiting case of wave optics. Reflection, total internal reflection, optical fibre, curved mirrors, lenses, mirror and lens formulae, Dispersion, prisms, spectrometer and spectra­ absorption and emission; scattering, rainbow.
Wave optics: Wave front and Huygen's principle, concept of interference, Diffraction, Young's double slit experiment and expression. Diffraction from a single slit.
Optical Instruments: Magnification and resolving power, telescope, microscope. .
Electrons and Photons: Discovery of electrons, elm for an electron, charge of an electron, electron conduction in gases, particle nature of light, Einstein's photoelectric equation, photocells.
Atomic and Nuclear Physics: Rutherford model of the atom. Bohr's Model, energy quantisation, hydrogen spectrum, composition of nucleus, atomic masses, isotopes, size of nucleus, radioactivity, mass energy relation, fission, fusion, nuclear holocaust.
Solids and Semiconductor Devices: Energy bands in solids, conductors, insulators, P-N junction, diodes, junction transistor, logic gate and combination of gates, diodes as rectifier, transistor as an amplifier and oscillator.
Universe: The constituents of the universe; planets; determination of their distances and masses; stars; brightness; magnitude scale luminosity, surface temperature; steilar spectra (classification), energy source of stars (concept).

CHEMISTRY
1. Atoms, Molecules and Chemical Arithmetic: Laws of chemical combination, Dalton's atomic theory, atomic mass, (mole concept, determination of chemical formulae), chemical equation (balancing of chemical equation and calculation using chemical equation) numerical based on above.
2. Elements and their Extraction: Earth as a source of elements, extraction of metals (metallurgical processes, production of concentrated ore), production of metals and their purification, Mineral wealth of India, qualitative test of metals.
3. States of Matters : Gaseous state: Measurable properties of gases, Boyles' Law, Charle's law and absolute scale of temperature, Avagadro's hypothesis, Ideal gas equation, Dalton's law of partial pressure, kinetic molecular theory of gases. The microscopic model of gas, deviation from ideal behaviour.
Liquid State: Properties of liquids, vapour pressure, surface tension, viscocity.
Solid State: Classification of solids, X-ray studies of crystals, lattice and unit cell. Packing of constituent particles in crystals. Numericals based on above.
4. Atomic Structure: Constituents of the atom, discovery of electron, nuclear model of the atom, electronic structure of atoms, nature of light and electromagnetic atomic spectra, Bohr's model of hydrogen atom, quantum mechanical model of the atom, electronic configuration of atoms, Aufbau principle. Dual nature of matter and radiation, de-Broglie relation, the uncertainty principle, orbitals and quantum numbers, shapes of orbitals.
Review of valence bond method, molecular orbital method, hybridisation (s, p and d orbitals), experimental determination of molecular structure. (Numericals based on above).
5. Periodic Table: Mendeleev's periodic table, Modern periodic law, Types of elements (Representative elements-s, p-block elements. transition elements-d block elements, inner transition elements) periodic trends in properties (ionisation energy, electron affinity, atomic radii, valence, periodicity in properties of compounds, (Numericals based on above.)
6. Bonding and Molecular Structure: Chemical bonds and Lewis structure, shape of molecules (VSEPR theory), quantum theory of the covalent bonds (hydrogen and some other simple molecules), carbon compounds, hybridisation, boron and beryllium compounds, Coordinate covalent bonds, ionic bonds as an extreme case of polar covalent bond, ionic character of molecules and Polar molecules, hydrogen bond.
7. Solid State: Bonding in solid state ionic, molecular and covalent solids, structure of simple ionic compounds, closed packed structure, ionic radii, silicates, imperfection in solids, properties of solids, amorphous solids. Numericals.
8. Nuclear Chemistry: Nature of radiation from radioactive substance, nuclear structure and nuclear properties, nuclear reactions, radioactive disintegration series, artificial transmutation of elements, isotopes and their uses, radio carbon-dating, synthetic elements.
(Numerical based pn above.)
9. Solutions: Types of solution, vapour pressure of solutions and Raoult's law, colligative properties, electrolytic solutions. Numericals based on above.
10. Chemical Thermodynamics: Energy changes during a chemical reaction, internal energy and enthalpy, enthalpy changes, origin of enthalpy change in a reaction, first law of thermodynamics and its applications, Hess's law of constant heat summation, enthalpies of formation, combustion, neutralisation, solution, fusion, vaporisation and sublimation.
Spontaneous change and Criteria of spontaneity, entropy, second law of thermodynamics, Free energy, Free energy change and chemical equilibrium, free energy as energy available for useful work. Third law of thermodynamics. Numericals based on above.
11. Chemical Equilibrium: Equilibria involving physical changes: solid-liquid, liquid-gas equilibria, equilibrium involving dissolution of solids in liquid or gases in liquids, general characteristics of equilibrium constant. Numerical Problems.
Effects of changing the condition of system at equilibrium (change of concentration and temperature, effect of catalyst, Le Chetelier's principles). Equilibrium involving ions: ionisation of electrolytes, weak and strong electrolytes, acid-base equilibrium, various concepts of acids and bases, ionisation of water, pH, solubility product. Numericals based on above.
12. Electro Chemistry: Electrolysis, Faraday's laws of electrolysis, Electroplating, Electrolytic conduction (specific, equivalent and molar conductances), Kohlrausch's law and its applications, (numerical problems).
Oxidation and reduction processes, redox reactions in acqueous solution-Electrochemical cells, Electrode potential, Electromotive force of a galvanic cell, Dependence of EMF on concentration and temperature (Nernst equation), some commercial batteries, fuel cell, corrosion Numerical based on above.
13. Chemical Kinetics: Rate of are action, factors influencing rate of a reaction, rate expression, units of rates and specific rate constant, Molecularity, order of a reaction and concentration (first order reaction only) rate constant and its dependence on temperature, fast reaction, photochemical reactions. (Numericals based on above).
14. Surface and Catalysis: Adsorption, colloids emulsions, micelles, interfaces, modem developments: STEM  and Technology, Homogeneous and heterogeneous catalysis. Structure of catalyst.
15. Organic Chemistry of Hydrocarbons :
(i) Hydrocarbons: Origin, composition, cracking, reforming, gasoline, octane number, gasoline additives, resonance.
(ii) Alkanes (Structure, isomerism, conformation, preparation from unsaturated hydrocarbons, alkyl and carboxylic acids) stereoisomerism and chirality (origin of chirality, optical rotation, racemic mixture).
(iii) Alkenes (Structure isomerism including cistrans, preparation from alcohol and alkyl halides).
(iv) Alkynes (Structure and preparation from calcium carbide and acetylene).
(v) Arenes (structure of benzene, resonance structure, isomerism in arenes).
(vi) Physical properties of Arenes (Boiling and melting points, solubility and density).
(vii) Reaction of hydrocarbons (oxidation, addition, substitution and miscellaneous reaction).
16. Organic Chemistry based on Functional Groups:
(i) Halides and hydroxy compounds: Nomenclature of compounds containing halogens, atoms and hydroxyl groups haloalkanes, haloarenes, alcohols and phenols, correlation of physical properties with their structure, chemical properties and uses. A few important polyhalogen compounds-dichloroethanes, chloroform, carbon tetrachloride, D.D.T., benzene hexachloride. Ethane-I, 2-diol, propane­1,2, 3,-triol.     
(ii) Ethers, aldehydes, carboxylic acids and their derivatives. (iii) Nitrogen Compounds: A brief description of the chemistry of carbon compounds containing cyanides and isocyanides; nitro compounds and amines and their methods of preparation, correlation of physical properties with structure, chemical reaction and uses.
17. Purification and Characterisation of Organic Compounds: Purification (crystallisation, sublimation,    distillation, differential extraction, chromatography).
Qualitative analysis (analysis of N, S, P and halogens) Quantitative analysis (estimation of C, H, N, S, P, 0 and halogens).
Determination of molecular mass (Victor Meyer's method, volumetric method).
Calculation of empirical and. molecular formulae. Numerical problems inorganic quantitative analysis. Modern method of structure elucidation. (Numericals based on above).
18. Natural Synthetic Polymers: Classification of polymers, some important natural and synthetic polymers (their general method of preparation, some common example and their important uses).
19. Chemistry in Action: A descriptive account of chemistry of dyes, polymer fibres, chemicals in medicines, ceramics, plant growth harmones, pheromones, fertility contraceptives.
20. Chemistry of Non-Metals I
Hydrogen (Position in periodic table, occurrence, isotopes, preparation, properties, reaction and uses.)
Oxygen, (Occurrence, preparation, properties, reactions, uses, simple oxides; ozone).
Water and hydrogen peroxide (structure of water molecule and its aggregates, physical and chemical properties of water, hard and soft water, water softening, hydrogen peroxides, properties and uses).
Nitrogen: Preparation, properties, uses. Compounds of nitrogen ammonia, oxides of nitrogen, nitric acid: preparation, properties and uses.
21. Chemistry of Non-Metals II
(Boron, silicon, phosphorus, sulphur, halogens, and the noble gases) Boron occurrence, isolation, physical and chemical properties, borax and boric acid, use of boron and its compounds)
Silicon (occurrence, preparation and properties, silicates, silica and glass).
Phosphorus (occurrence, preparation and properties, oxides, sulphuric acid, preparation, properties and uses of sodium thiosulphate)
Halogens (occurrence and extraction, properties, hydrogen halides, uses of halogens)
Noble gases (discovery, occurrence and isolation. Physical properties, chemistry of noble gases and their uses).
22. Chemistry of Lighter Metals
Sodium and potassium (preparation, properties and uses, important compounds NaCl, Na2COs' NaHCOs' NaOH, KCI, KOH). Magnesium and calcium (occurrence and extraction, properties and uses, important compounds MgC12' MgS04, CaO, Ca(OH)2' CaCOs' CaSO4' plaster of paris).
Aluminium (occurrence, extraction, properties and uses, compounds-AlCls' alums, cement).
Biological role of sodium, potassium, magnesium and calcium.
23. Chemistry of Heavier Metals
Iron (occurrence and extraction, compounds of iron; oxides, halides, sulphides, sulphates, alloy steel).
Copper, silver and gold (occurrence and extraction, properties and uses, compounds-oxides, sulphides, halides and sulphate photography).
Zinc and Mercury (occurrence and extraction, properties, compounds-oxides, halides, sulphides and sulphates, uses).
Tin and Lead (occurrence and extraction, properties, uses compounds; oxides, sulphides, halides)
24. Chemistry of Representative Elements: The chemistry of s and p block elements from the standpoint of Periodic Table:

Preparation and properties of a few important compounds of representative elements.
25. Transition Metals including Lanthanides: Electronic Configuration. General characteristic properties oxidation states; inner transition elements; general feature. First row transition metals and general properties of their compounds: oxides, halides and sulphides.
General properties of second and third row transition elements (groupwise discussion). Preparation of few compounds; potassium permanganate and others. General trends in chemical properties of lanthanides and actinides.
26. Coordination Chemistry and Organo Metallics: Coordination compounds-Nomenclature; Isomerism in coordination compounds; Bonding in coordination compounds; Stability of coordination compounds; Applications of coordination compounds; Compounds containing metal-carbon bonds; Classification of organo metallic compounds; Bonding in organometallics; Applications of organometallics.
27. Qualitative Analysis
Determination of two cations and two anions from a mixture:
Cations:
Pb2+, CU2+, Cd2+, As3+, Hg2+, Al3+, Fe2+, Fe3+, Zn2+,
CO2+, Ni2+, Ca2+, Ba2+, Sr2+, Mg2+, NH+4
Anions:
S2-, SO 4:2-' SO32-, CO32-, NO2, NO3 -, Cl-,. Br -, I-, PO43-, CH3COO

N.B. Insoluble salts and interfering ions are to be excluded. Also, two cations of the same group and anion combinations such as (SO 4 2+ Br), (NO2-+NOs-)' (Cl-+Br), (COs2-+C2O42-)(Br+I-) should be avoided.

28. Biomolecules
The cell: Carbohydrates; Monosaccharides, Disaccharides,
Polysaccharides, Amino Acids and peptides: Structure and classification, Properties of Amino acids; Peptides-Structure and properties, biologically important peptides.
Proteins and enzymes: Structure of protein and denaturation, some important proteins, enzymes.
Nucleic acids: Chemical properties of nucleic acid, biological functions of nucleic acid, structure of double helix, viruses, Protein synthesis, biotechnology basics.
Lipids: Structure, membrane: Structure and function.
Evolution: Chemical evolution, Origin of life.
29. Chemistry of Biological Process: Digestion, Respiration,
Haemoglobin and blood, Photosynthesis, Immune system-antibodies harmones, Chemistry of some important diseases.

MATHEMATICS

Algebra: Algebra of sets, Functions, Binary operations. Complex numbers, Argand diagram, Square root of a complex number, Cube roots of unity, Triangle inequality. Theory of quadratic equations, Relationship between roots and co-efficients, Nature of roots, Symmetric functions of roots, Arithmetic and geometric progressions, Insertions of A.M. and G.M. between any two given numbers. Arithmetic Geometric series, Cases of Σn, Σn2 andΣn3.
Permutations and combinations, simple applications, including circular permutations, Mathematical Induction and its applications, Binomial theorem, General term, Binomial theorem for any index and its applications for approximations, Properties of Binomial coefficients, Exponential and logarithmic series.
Matrix as a rectangular arrangement of numbers, types of matrices, equality of matrices; Addition, Scalar multiplication and multiplication of matrices; Linear combinations of matrices, noncommutativity and associativity of matrix multiplication.
Applications of determinants in solution of equations and area of a triangle; Cramer's rule, adjoint and inverse of a matrix and its properties; Applications of matrices in solving simultaneous equation in three variables.

Trigonometry: Angles and their measure in degree and radians. Trigonometric functions of angles of arbitrary magnitudes. Addition formulae. Sine, Cosine and Tangent of multiples and submultiples of angles. Periodicity and graphs of sine, cosine and tangent functions. Solution of trigonometric equations. Solutions of triangles. Properties of triangles. Problems on heights and distances. Inverse trigonometric functions and their properties.

Coordinate Geometry: Straight line. Its equation in various forms. Angle between two lines. Cocurrency of three lines. Orthocentre and circumcentre of a triangle. Family of lines. Pair of lines represented by second degree equation in various forms. Points of intersection of a line and a circle. Condition for tangency. Length and equation of the tangent. Equation to a family of circles passing through the intersection of two circles, conditions for two intersecting circles to be orthogonal.

Conic Sections: Sections of a conic-equation of the conic sections (parabola, ellipse, hyperbola) in the standard form; Property of symmetry-condition for y = mx + c to be a tangent and point of tangency.

Vectors and Three Dimensional Geometry: Vectors as directed line segment, Magnitude and direction of a vector; Equal vectors, unit vector; zero vector, position vector of a point. Components of a vector, Vectors in two and three dimensions; Addition of vectors; Multiplication of a vector by a scalar, position vector of the point dividing a given straight line in a given ratio, scalar (dot) product of vectors; scalar triple product; Vector triple product; Applications of vectors in the use of establishment of various-geometrical results; Work done = force x displacement; Moment of a force about a point, moment of a couple about a point; proof of cosine rule, Angle in a semicircle is a right angle; Application of vector product in finding area of a triangle as 1/2|a x b| and of area of parallelogram as |a x b| Proof of sine rule; Application of scalar triple product in finding volumes of a parallelopiped; coplanarity of vectors using scalar triple product.

Linear Programming: Linear in equations in two variables and the graph of its solution set; system of linear in equations in the variables and the graph of its solution set. Meaning of linear Programming and its importance; Meaning of constraints, objective function, optimization, iso-profit line, etc. Convex set (polygon), explanation of the property that a linear function (objective function) over convex polygon takes on its maximum value at one of its vertices and takes on minimum value at other vertex of the polygon; mathematical formulation of a linear programming problem and its solution by graphical method.

Statistics: Frequency distributions. Mean and standard deviation. Mean deviation about the mean and medians.
Bivariate frequency distributions arising from observations of two variables on the same unit of observation, Marginal and conditional frequency distribution derived from a bivariable frequency distribution.

The concept of relationship between variables introduced as the dependence of conditional distributions on the value of the conditioning variables; Distinction between the relationship and functional relationship. Correlation analysis as the measurement of the strength of relationship between two quantitative variables, and regression analysis as the method of predicting the values of one quantitative variable from those of the other quantitative variable.
Definition and calculation of the correlation coefficient, positive and negative correlation, perfect correlation. Uses of the scatter diagram in interpreting the values of the correlation coefficient.
Calculation of the regression coefficient, and the two lines of regression by the method of least squares. Use of the lines of regression for production. Error of prediction and its relation with the coefficient of correlation.

Differential Calculus: Real function, its domain and range Composition of functions. Notion of limit and continuity of a function. Fundamental theorems on limits.
Continuity of function at point, over an open/closed interval; Properties of continuous functions, continuity of polynomial, trigonometric, exponential, logarithmic and inverse trigonometric
functions.
Derivative of a function, its geometrical and physical
significance, relationship, continuity and differentiability.
Derivatives of xn, sin x, cos x, tan x from first principles; theorems relating to the derivatives of the sum, difference, product and quotient of functions, derivative of a function off unction (chain rule), derivative of inverse functions, derivative of trigonometric functions, inverse trignometric functions, logarithmic functions and exponential functions, differentiation of implicit functions, logarithmic differentiation, derivative of functions expressed in parametric form derivatives of higher order.

Applications of Derivatives : Motion in a straight line, motion
under gravity, rate of change of quantities, increasing and decreasing functions and sign of the derivative, maxima and minima (absolute local), Rolle's theorem and mean value theorem (without proof, curve sketching, Meaning of differential errors and approximations.

Integral Calculus : Integrals involving algebric, trigonometric, inverse trigonometric, exponential and logarithmic functions. Integration by substitution, by partial fraction and by parts. Evaluation of definite integrals by using properties. Determination of area between two curves.

Differential Equations: Differential equation, order and degree formation of a differential equation, and general and particular solution of a differential equation, solution of a differential equation by the method of 'Variable Separable' Homogeneous equations and their solutions; Solutions of the linear equation of first order with constant  coefficients.

Computing: Algorithm : Meaning and five important features of algorithm, Definition of the problem. Three basic operations; Sequence, Selection and Repetition. Use of IF, CASE, WHILE REPEAT, FOR. Simple example with problem statements Flow Chart.

Probability: Random experiment and the associated sample space (i.e., set of all outcomes); Events as subjects of the sample space, occurence of an event; sure event; impossible event, mutually exclusive events.
Elementary events, equally likely elementary events. Definition of probability of an event as the ratio of the number of favourable equally likely events to the total number of equally likely events. Addition rule for mutually exclusive events.
Combination of events through the operations "GT", "and", "not", and their set representation; probabilities of events associated with independent experiments.
Conditional probability: Independent events; Independent experiments; Calculation of probabilities of events associated with independent experiments.
Random variable as a function on a sample space (only random variables taking finite number of values to be considered).
Distribution of a random variable derived from the probabilities of events on the sample space on which the random variable is defined.
Binomial Distribution: Examples of different random experiments giving rise to random variables with binomial distribution.

Numerical Methods: Concept of data types, integer and real data in the con text of computers, floating point representation of real numbers and basic operations, truncation errors, rounding of errors and numerical instability literative methods for (a) computing e", six x, cos x; (b) finding the roots of the equations f(x) = 0 by (i) method of successive bisection (ii) method of false position (iii) Newton - Raphson method.
Solution of simultaneous linear equations by Gaussian elimination technique, and by Gauss Seidel method, Numerical integration trapozoidal rule, Simpson's rule.