Go Back   2018 2019 Student Forum > Management Forum > Main Forum



 
Thread Tools
  #1  
Old 12th May 2015, 10:28 AM
Unregistered
Guest
 
Posts: n/a
Default IIT Kharagpur Eligibility Criteria

I want to do B. Tech in Civil Engineering from IIT Kharagpur for that I want to get eligibility criteria so will you please provide me that ?
Reply With Quote Quick reply to this message

  #2  
Old 12th May 2015, 04:22 PM
Super Moderator
 
Join Date: Apr 2013
Posts: 36,100
Default Re: IIT Kharagpur Eligibility Criteria

As you want to do B. Tech in Civil Engineering from IIT Kharagpur for that you want to get eligibility criteria so here I am giving you information about same:

B. Tech in Civil Engineering

Duration:
4 Years

IIT Kharagpur take JEE entrance exam for giving admission in B. Tech course.

IIT JEE Eligibility:

Qualification:
Candidate must have 12th passed certificate with the subjects of PCM from recognized University.

Candidate must have minimum 60% marks in 12th class.

Age Limit:
Minimum age is 17 years.
Maximum age is 25 years.

Syllabus:

JEE Mathematics Syllabus:
UNIT 1 : SETS, RELATIONS AND FUNCTIONS:

Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;. one-one, into and onto functions, composition of functions.

UNIT 2 : COMPLEX NUMBERS AND QUADRATIC EQUATIONS:

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots.

UNIT 3 : MATRICES AND DETERMINANTS:

Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

UNIT 4 : PERMUTATIONS AND COMBINATIONS:

Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications.

UNIT 5 : MATHEMATICAL INDUCTION:

Principle of Mathematical Induction and its simple applications.

UNIT 6 : BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:

Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.

UNIT 7 : SEQUENCES AND SERIES:

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3. Arithmetico – Geometric progression.

UNIT 8 : LIMIT, CONTINUITY AND DIFFERENTIABILITY:

Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. 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 upto two. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals.

UNIT 9 : 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.

Evaluation of simple integrals of the type Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

UNIT 10: DIFFERENTIAL EQUATIONS:

Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type: dy/dx+p(x)y=q(x)

UNIT 11: CO-ORDINATE GEOMETRY:

Cartesian system of rectangular co-ordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

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, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines.

Circles, conic sections

Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency.

UNIT 12: THREE DIMENSIONAL GEOMETRY:

Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, intersection of a line and a plane, coplanar lines.

UNIT 13: VECTOR ALGEBRA:

Vectors and scalars, addition of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, scalar and vector triple product.

UNIT 14: STATISTICS AND PROBABILITY:

Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution.

UNIT 15: TRIGONOMETRY:

Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances.

UNIT 16: MATHEMATICAL REASONING:

Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive.

Address:
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal 721302 ‎
03222 255 221

Reply With Quote Quick reply to this message
Reply

Similar Threads
Thread Thread Starter Forum Replies Last Post
Eligibility Criteria For Phd In IIT Kharagpur Unregistered Main Forum 2 16th July 2018 11:44 AM
IIT Kharagpur Eligibility for M Tech Unregistered Main Forum 2 18th April 2018 04:16 PM
Eligibility Criteria For PNB PO Unregistered Main Forum 1 10th April 2016 09:56 AM
IIT Kharagpur MBA Eligibility Criteria Unregistered Main Forum 3 30th December 2015 03:12 PM
National Eligibility Test exam syllabus and Eligibility criteria Unregistered Main Forum 2 1st October 2015 06:04 PM
IIT Kharagpur MBA Eligibility Unregistered Main Forum 1 10th September 2015 03:35 PM
Eligibility for PHD in IIT Kharagpur Unregistered Main Forum 1 31st July 2015 05:04 PM
IIT Kharagpur M Tech Admission Criteria Unregistered Main Forum 0 28th May 2015 11:37 AM
NDA NIC Eligibility Criteria Unregistered Main Forum 0 23rd May 2015 03:41 PM
IIT Kharagpur M Tech Eligibility Unregistered Main Forum 0 8th May 2015 10:29 AM
Eligibility Criteria For Mtech In IIT Kharagpur Unregistered Main Forum 0 2nd May 2015 12:35 PM
State Level Eligibility Test Exam Eligibility Criteria Unregistered Main Forum 3 24th March 2015 10:28 AM
BCA Eligibility Criteria Unregistered Main Forum 5 2nd December 2014 10:15 AM
KVS PRT Eligibility Criteria Unregistered Main Forum 1 27th September 2014 10:40 AM
Maharashtra State Eligibility Test for Lectureship exam eligibility criteria Unregistered Main Forum 1 19th August 2014 02:48 PM
Karnataka Teacher Eligibility Test eligibility criteria Unregistered Main Forum 1 13th August 2014 02:11 PM
Eligibility criteria of Karnataka Teacher Eligibility Test Unregistered Main Forum 1 6th August 2014 04:56 PM
CSIR National Eligibility Test eligibility criteria for B.Pharma candidates Unregistered Main Forum 1 23rd July 2014 03:30 PM
IIT Eligibility criteria siyram Main Forum 1 4th December 2012 05:07 PM
IAS Eligibility Criteria jk890 Main Forum 1 3rd December 2012 02:22 PM


Quick Reply
Your Username: Click here to log in

Message:
Options

Thread Tools Search this Thread



All times are GMT +5.5. The time now is 10:33 AM.


Powered by vBulletin® Version 3.8.8
Copyright ©2000 - 2018, vBulletin Solutions, Inc.
SEO by vBSEO 3.6.0 PL2

1 2 3