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7th April 2016, 02:35 PM
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Join Date: May 2012
Re: Delhi College of Engineering Entrance Exam

Delhi College of Engineering Combined Entrance Examination is one of the most reputed and sort after entrance exam for engineering stream in India, conducted by Delhi University for admission to First Semester of Bachelor of Engineering Courses for Delhi Region candidates passing from Schools / Colleges / Institute located within the National Capital Territory of Delhi, in Delhi College of Engineering (DCE) (Renamed as Delhi Technical University) and Netaji Subhash Institute of Technology (NSIT).

Courses Offered for full-time B.E. degree:
In Delhi College of Engineering
-Electronics and Communication Engineering
-Electrical Engineering
-Mechanical Engineering
-Civil Engineering
-Production and Industrial Engineering
-Computer Engineering
-Polymer Science & Chemical Technology
-Environmental Engineering
-Information Technology
-Bio-Technology

In Netaji Subhash Institute of Technology (NSIT)
-Electronics and Communication Engineering
-Computer Engineering
-Instrumentation and Control Engineering
-Manufacturing Process & Automation Engineering
-Information Technology
-Bio-Technology

Eligibility Criteria:

Age Limits:
An applicant must be at least 17 years of age

Academic Qualification:
A candidate passing any one of the following examinations from the recognized School/College/ Institute located within the National Capital Territory of Delhi only and securing 60% or more marks in the aggregate of Physics, Chemistry and Mathematics shall be eligible for admission to the First Semester of Bachelor of Engineering Course provided he/she has passed in each subject separately:
-Senior School Certificate Examination (12-year Course) of the Central Board of Secondary Education (C. B. S. E.), New Delhi.
-Indian School Certificate Examination (12-year Course) of the Council for Indian School Certificate Examination, New Delhi.
-B.Sc. (Gen.) Group 'A' Final Examination or equivalent examination of the University of Delhi.
-B.Sc. (Hons.) Examination in Physics, Chemistry and Mathematics of the University of Delhi with combination of Physics, Chemistry, Mathematics and equal weight age to the subsidiary subjects or equivalent examination.
-Any other examination recognized as equivalent to the Senior School Certificate Examination of the C. B. S. E. by the University of Delhi.

Relaxation in Marks for Reserved Categories:
i. Scheduled castes (SC) and scheduled tribes (ST):
Candidates belonging to Scheduled Castes and Scheduled Tribes shall be allowed 10 percent concession of marks in the minimum eligibility requirements of these Engineering Entrance Exams.
ii. Children/war widows of defence personnel/para-military forces/ killed/ disabled in action (CW):
The children and/or widows of personnel of Armed/Para-Military forces killed/ disabled in action during hostilities who apply for seats reserved for them shall be allowed relaxation of 5 percent marks in the minimum eligibility requirements.
iii. Physically handicapped (PH):
Candidates belonging to Physically Handicapped category shall be allowed 5 percent concession of marks in the minimum eligibility requirements.

Syllabus
Mathematics:

-Complex Numbers: Algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number. cube roots of unity, triangle inequality.
-Matrices and Determinants: Determinants and matrices of order two and three- properties of determinants, evaluation of determinants, addition and multiplication of matrices, adjoint and inverse of a matrix. Solution of simultaneous linear equations using determinants.
-Quadratic Equations: Quadratic equations and their solutions, relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots.
-Permutations And Combinations: Fundamental principle of counting; permutation as an arrangement and combination as a selection, meaning of P(n, r) and C(n, r), simple applications
-Sequences And Series: Arithmetic, Geometric and Harmonic progressions. Relation between A.M., G.M. and H.M. Special series’ n, n2, n3, Arithmetico-Geometric series, exponential and logarithmic series.
-Vector Algebra: Vectors and scalars, addition of two vectors, components of a vector in two and three dimensional space, scalar and vector products, scalar and vector triple products. Application of vectors to plane geometry.
-Trigonometry: Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles including centroid, incentre, circumcentre and orthocentre. Solution of triangles. Heights and distances.
-Measures Of Central Tendency And Dispersion: Calculation of mean, median and mode, standard deviation, variance and mean deviation for grouped and ungrouped data.
-Probability: Probability of an event, addition and multiplication theorems of probability and their applications. Conditional probability; Bayes’ theorem. Probability distribution of a random variate- Binomial and Poisson distributions and their properties.
-Differential Calculus: Polynomial, rational, trigonometric, logarithmic and exponential functions. Graphs of simple functions. Limits, continuity and differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two. Applications of derivatives-maxima and minima of functions of one variable, tangents and normals, Rolle’s and Lagrange’s mean value theorems.
-Integral Calculus: Integral as an anti derivative, fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Integral as a limit of sum. Properties of definite integrals. Evaluation of definite integral, determining areas of the regions bounded by simple curves.
-Differential Equations: Formation of differential equations. Solutions of first order differential equations- the method of separation of variables, homogeneous and linear differential equations.
-Two Dimensional Geometry: Review of Cartesian system of rectangular co-ordinates in a plane, distance formula, area of a triangle, condition for the co linearity of three points, slope of a line, parallel and perpendicular lines, and intercepts of a line on the coordinate axes.
-The Straight Line and Pair Of Straight Lines: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line. Equations of internal and external bisectors of angles between two lines, equation of a family of lines passing through the point of intersection of two lines, point of intersections and angles between two lines. Pair of straight lines- condition for the general second degree equation to represent a pair of lines, point of intersection and angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines
-Circles And Family Of Circles: Equation of a circle- standard form, general form, parametric form, equation of a circle when the end points of a diameter are given. Radius and centre of a circle, points of intersection of a line and a circle. Condition for a line to be tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.
-Conic Sections: Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, conditions for a line to be a tangent and point(s) of tangency.

Chemistry
-Basic Concepts
-Atomic and molecular masses; Chemical Equation and stoichiometry.
-States Of Matter
-Gaseous State: Gas laws, Avogadro’s hypothesis and gas equations; Kinetic Theory of Gases; Liquefaction, Critical Phenomena; Liquid State and Solid state.
-Atomic Structure
-Bohr’s Model; de Broglie equation; Quantum Mechanical Model; Aufbau’s Principle, Pauli’s Exclusion Principles, Hund’s Rule, Electronic Configuration; Bonding: Lewis structure, SEPR theory, hybridization, ionic, covalent and coordinate covalent bonds, bonding in solid state, MO theory, bond order and magnetic properties of H2, O2, N2, F2.
-Solutions
-Types, Units of concentration, Raoult’s Law, colligative properties, abnormal molecular weights.
-Chemical Energetic and Thermodynamics
-Internal Energy, Enthalpy, Hess’s Law, First & Second Laws of thermodynamics & applications; entropy, free energy; spontaneity of a chemical reaction.
-Chemical Kinetics & Chemical Equilibrium
-Rate and orders of a reaction; activation energy; catalyst; Rate law; physical & chemical equilibria; Le Chateliers’s principle; acid base equilibrium; acids and bases; pH; buffers; solubility product.
-Redox Reactions, Electrochemistry & Surface Chemistry
-Electron Transfer Concepts of Oxidation and reduction; Electrochemical cells; emf; Nernst Equation; Molar conductivity; Kohlrausch’s Law; Fuel Cells; Corrosion. Physical & Chemical adsorbtion isotherms; Colloids: Preparation & properties; Homogenous and Hetrogenous Catalysis; Enzymes.
-Periodic Properties, Chemical Families, Chemistry Of Non Metals & Metals
-Modern Periodic Law; Ionization Energy, Electron Affinity, Atomic Radii, Valency, Trends in Groups and periods. Chemistry of s and p block elements; Alkali metals, Alakaline Earth metals, Boron, Carbon, Nitrogen, Oxygen Halogen and Noble gases families; Hydrogen: Position, Ortho para, Isotopes, hybrids; Oxygen, Water, Hydrogen peroxide, Hard & Soft water; Ammonia, Nitrogen oxides, Nitric acid; Boron, Boric Acid, Borax; Carbides, Allotropy of Carbon; Sodium, Magnesium, Copper, Silver, Zinc, Transition Metals, and Lanthanides: Extraction, properties and uses.
-Co-Ordination Chemistry
-Nomenclature, isomerism and bonding in coordination compounds; Werner’s Theory.
-x. Nuclear Chemistry
-Radioactivity, Nuclear reactions, Radiocarbon dating, Radioactive series, Artificial Transmutation.
-xi. Organic Chemistry Fundamentals
-Purification; detection and estimation of elements; Empirical and Molecular formulae, Classification, Functional Groups, IUPAC Nomenclature, Hemolytic and Heterolytic Bond Fissions, Structural and Stereoisomerisms, Free radicals, Carbocations and carbanions; Substitution, addition, elimination and rearrangement reactions.
-xii. Hydrocarbons & Halo Alkanes & Halo Alkenes
-Alkanes, Alkenes and Alkynes, Halo alkanes & Halo alkenes: Preparation, properties and uses; Aromatic Hydrocarbons: Benzene, Structure, Resonance, Substitution in Benzene. Petroleum: Cracking, reforming, Octane number.
-xiii. Organic Compounds Containing Oxygen, Nitrogen
-Preparation properties and uses of Aromatic and aliphatic alcohols, Polyhydric alcohols, ethers, aldehydes, ketones, carboxylilc acids and their derivatives; Cyanides, isocyanides, nitro compounds and amines.
-xiv. Synthetic and Natural Polymers & Bimolecular
-Natural and Synthetic polymers; Teflon, PVC, Polystyrene, Nylon 66 Terylene, and Bakelite; carbohydrates, amino acids and peptides, Nucleic Acids, lipids etc.
-xv. Chemistry in Action & Environmental Chemistry
-Dyes, Medicines (Antipyretics, Analgesics and Antibiotics), Rocket Propellants; Acid Rain, Ozone Hole, Green House Effect, Global Warming Industrial Pollution.


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