Showing posts with label GATE 2013. Show all posts
Showing posts with label GATE 2013. Show all posts

CSIR NET JUNE 2017 DATE EXTENDED second time..


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Exam Date: 18-06-2017

Date of Start for Online Submission: 08-02-2017 

Date of Close of Online Submission: 24-03-2017 

 Last Date of Receipt of Duly Completed Hard Copy of Online Application Forms:31-03-2017 ::


Last Date of Receipt of Duly Completed Hard Copy of Online Application Forms(From Remote Areas): 
7-4-2017

- Prof Suresh, NET Maths Coach, www.SSacademymdu.tk , Madurai.


Admission & Classes going on for

TN SET 2017

CSIR NET JUNE 2017

CSIR NET DECEMBER 2017

GATE

NBHM

GATE Syllabus


Syllabus for General Aptitude (GA)

(COMMON TO ALL)
Verbal  Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.
Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
Sample Questions
Verbal  Ability
Q.1. Choose the appropriate answer to complete the following sentence:
After several ……. attempts to send the missile into space, the spacecraft was finally launched successfully.
(A)     abortive   (B)     difficult   (C)     experimental   (D)     preliminary
Ans. (A)
Q.2. Choose the appropriate answer to complete the following sentence:
Medicine is to illness as law is to _________
(A)       discipline   (B)       anarchy   (C)       treason   (D)       etiquette
Ans. (B)
Q.3. Read the following paragraph :
“The ordinary form of mercury thermometer is used for temperature ranging from –40oF to 500oF. For measuring temperature below –40oF, thermometers filled with alcohol are used. These are, however, not satisfactory for use in high temperatures. When a mercury thermometer is used for temperature above 500oF, the space above the mercury is filled with some inert gas, usually nitrogen or carbon dioxide, placed in the thermometer under pressure. As the mercury rises, the gas pressures is increased, so that it is possible to use these thermometers for temperatures as high as 1000oF.”
With what, besides mercury, would a thermometer be filled if it wasdesigned to be used for measuring temperature of about 500oF?
(A)  Pyrometer     (B)  Inert gas       (C) Iron and brass        (D) Gas
Ans. (B)
Q.4. The cost of manufacturing tractors inKoreais twenty percent less than the cost of manufacturing  tractors inGermany. Even after transportation fees and import taxes are added, it is still cheaper to import tractors fromKoreatoGermanythan to produce tractors inGermany.
Which of the following assertions is best supported by the above information?
(A)  Labour costs inKoreaare twenty  percent below those inGermany.
(B)  Importing tractors intoGermanywill eliminate twenty  percent of the manufacturing jobs inGermany.
(C)  The costs of transporting a tractor fromKoreatoGermanyis more than twenty  percent ofthe cost of manufacturing the tractor inKorea.
(D)  The import taxes on a tractor  imported fromKoreatoGermanyis less than twenty  percentof the cost of manufacturing the tractor inGermany.
Ans. (D)
Numerical Ability
 Q.5. In a survey, 3/16  of  the people surveyed told  that they preferred to use publictransport whilecommuting  daily to office. 5/8 of the people surveyed told that theypreferred to use their own vehicles. Theremaining 75respondents said thatthey had no clear preference. How many people  preferred to usepublictransport?
(A)  75   (B)  100  (C) 125  (D) 133
Ans. (A)

Syllabus for Mathematics (MA)

Linear Algebra: Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of linear equations, eigen values and eigen vectors, minimal polynomial, Cayley-Hamilton Theroem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, self-adjoint operators.
Complex Analysis: Analytic functions, conformal mappings, bilinear transformations; complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle; Taylor and Laurent’s series; residue theorem and applications for evaluating real integrals.
Real Analysis: Sequences and series of functions, uniform convergence, power series, Fourier series, functions of several variables, maxima, minima; Riemann integration, multiple integrals, line, surface and volume integrals, theorems of Green, Stokes and Gauss; metric spaces, completeness, Weierstrass approximation theorem, compactness; Lebesgue measure, measurable functions; Lebesgue integral, Fatou’s lemma, dominated convergence theorem.
Ordinary Differential Equations: First order ordinary differential equations, existence and uniqueness theorems, systems of linear first order ordinary differential equations, linear ordinary differential equations of higher order with constant coefficients; linear second order ordinary differential equations with variable coefficients; method of Laplace transforms for solving ordinary differential equations, series solutions; Legendre and Bessel functions and their orthogonality.
Algebra:Normal subgroups and homomorphism theorems, automorphisms; Group actions, Sylow’s theorems and their applications; Euclidean domains, Principle ideal domains and unique factorization domains. Prime ideals and maximal ideals in commutative rings; Fields, finite fields.
Functional Analysis:Banach spaces, Hahn-Banach extension theorem, open mapping and closed graph theorems, principle of uniform boundedness; Hilbert spaces, orthonormal bases, Riesz representation theorem, bounded linear operators.
Numerical Analysis: Numerical solution of algebraic and transcendental equations: bisection, secant method, Newton-Raphson method, fixed point iteration; interpolation: error of polynomial interpolation, Lagrange, Newton interpolations; numerical differentiation; numerical integration: Trapezoidal and Simpson rules, Gauss Legendrequadrature, method of undetermined parameters; least square polynomial approximation; numerical solution of systems of linear equations: direct methods (Gauss elimination, LU decomposition); iterative methods (Jacobi and Gauss-Seidel); matrix eigenvalue problems: power method, numerical solution of ordinary differential equations: initial value problems: Taylor series methods, Euler’s method, Runge-Kutta methods.
Partial Differential Equations: Linear and quasilinear first order partial differential equations, method of characteristics; second order linear equations in two variables and their classification; Cauchy, Dirichlet and Neumann problems; solutions of Laplace, wave and diffusion equations in two variables; Fourier series and Fourier transform and Laplace transform methods of solutions for the above equations.
Mechanics: Virtual work, Lagrange’s equations for holonomic systems, Hamiltonian equations.
Topology: Basic concepts of topology, product topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma.
Probability and Statistics: Probability space, conditional probability, Bayes theorem, independence, Random variables, joint and conditional distributions, standard probability distributions and their properties, expectation, conditional expectation, moments; Weak and strong law of large numbers, central limit theorem; Sampling distributions, UMVU estimators, maximum likelihood estimators, Testing of hypotheses, standard parametric tests based on normal, X, t, F – distributions; Linear regression; Interval estimation.
Linear programming: Linear programming problem and its formulation, convex sets and their properties, graphical method, basic feasible solution, simplex method, big-M and two phase methods; infeasible and unbounded LPP’s, alternate optima; Dual problem and duality theorems, dual simplex method and its application in post optimality analysis; Balanced and unbalanced transportation problems, u -u method for solving transportation problems; Hungarian method for solving assignment problems.
Calculus of Variation and Integral Equations: Variation problems with fixed boundaries; sufficient conditions for extremum, linear integral equations of Fredholm and Volterra type, their iterative solutions.

GATE 2013


About GATE

Graduate Aptitude Test in Engineering (GATE) is an all India examination that primarily tests the comprehensive understanding of various undergraduate subjects in Engineering and Technology. The GATE score of a candidate reflects a relative performance of a candidate. The score is used for admissions to post-graduate engineering programmes (eg. M.E., M.Tech, direct Ph.D.) in Indian higher education institutes with financial assistance provided by MHRD and other Government agencies.  The score may also used by Public sector units for employment screening purposes.

Financial Assistance

A valid GATE score is essential for obtaining a financial assistance during Masters programmes and in some cases during direct Doctoral programmes in Engineering/Technology/Architechture, and Doctoral programs in relevant branches of Science in an Institution supported by the MHRD or other Government organizations.  To avail the financial assistance (scholarship), the candidate must first secure admission to a programme in these Institutes, by a procedure that could be different for each institute.  Qualification in GATE is also a minimum requirement to apply for various fellowships awarded by many Government organizations.
However, candidates with a Master’s degree in Engineering/Technology/Architecture may seek admission to relevant Doctoral programmes with scholarship/assistantship without appearing in the GATE examination.

Administration

GATE is administered and conducted jointly by the Indian Institute of Science and seven Indian Institutes of Technology on behalf of the National Coordination Board (NCB) – GATE, Department of Higher Education, Ministry of Human Resource Development (MHRD), Government of India. The GATE Committee, which comprises of representatives from the administering institutes, is the sole authority for conducting the examination and declaring the results.
GATE is conducted through the constitution of eight zones. The zones and the corresponding administrative institutes are:
The overall coordination and responsibility of conducting GATE 2013 lies with Indian Institute of Technology Bombay, and is designated as the Organizing Institute for GATE 2013.

What’s New in GATE 2013?

  1. 15 subject papers will be conducted by an ONLINE computer based test: AE, AG, AR, BT, CE, CH, CY, GG, MA, MN, MT, PH, TF, XE, and XL.
  2. Female candidates  are exempted from paying the application fee, as required by MHRD, Govt. of India.
  3. All candidate related information and grievance redressal will be available in a single GATE Online Applicant Interface. (What is it?)
  4. Soft copies of photograph and signature must be uploaded during online application (This is in addition to sending recent photograph of applicant with signed application).
  5. A new formula will be used for calculating the GATE score.
  6. Biometric information (Photograph and fingerprint) may be captured on the day of the examination for randomly selected candidates.

Important Points for GATE 2013.

  1. Application Process: For GATE 2013,  candidates need to register and fill the application ONLINE only by accessing the zonal GATE websites of IISc and seven IITs. The application process is complete only when a print out of the filled ONLINE application with the candidate’s signature and a good quality photo affixed in the appropriate place is received by the respective GATE office along with necessary documents, if any, on or before 8 October 2012. Please note that application forms are NOT available for sale anywhere.
  2. Downloadable Admit Card: Admit cards are NOT sent by mail anymore. Admit cards can only be downloaded from the zonal GATE websites from 5th December 2012 onwards. Bring the admit card to the test center along with at least one original (not photocopied / scanned copy) and valid (not expired) photo identification.
  3. Use of black ink ball point pen for Offline exams:  Candidates should use only black ink ball point pen for darkening of the bubbles in the OMR sheet. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken the bubbles in the OMR sheet very carefully (be sure before darkening).
  4. Numerical answer type questions in ONLINE papers: In the ONLINE papers, the question paper will consist of questions of multiple choice type and questions of numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer. Each online paper will have 15 or more marks worth of questions requiring numerical answers where possible.
  5. Pre-final year students:  Pre-final year students are NOT eligible to write GATE 2013. For details, refer to eligibility for GATE examination.

Pattern of Question Papers and Marking Scheme

Pattern of Question Papers

The examination for the papers with codes AE, AG, AR, BT, CE, CH, CY, GG, MA, MN, MT, PH, TF, XE and XL will be conducted ONLINE using computers where the candidates will be required to select the answer for each question using a mouse. For all other papers (CS, EC, EE, IN, ME & PI), the exam will be conducted OFFLINE in whicih candidates will have to mark the correct choice on an Optical Response Sheet (ORS) by darkening the appropriate bubble against each question.
In all the papers, there will be a total of 65 questions carrying 100 marks, out of which 10 questions carrying total of 15 marks are in General Aptitude (GA). The remaining of 85% of the total marks is devoted to the syllabus of the paper (as indicated in the syllabus section)
GATE 2013 would contain questions of four different types in various papers:
(i) Multiple choice questions carrying 1 or 2 marks each; Each of  the multiple choice objective questions in all papers and sections will contain four answers,  of which one correct answer is to be marked.
(ii) Common data questions (which are also multiple choice questions), where two successive questions use the same set of input data;
Example
Statement for Common Data Questions, for instance, for Questions 48 and 49 in Main Paper: 
Let X and Y be jointly distributed random variables such that the conditional distribution of Y, given X=x, is uniform on the interval (x-1,x+1). Suppose E(X)=1 and Var(X)=5/3.
First question using common data:
Q.48 The mean of the random variable Y is
(A) 1/2  (B) 1  (C) 3/2  (D) 2
Second question using common data:
Q.49 The variance of the random variable Y is
(A) 1/2  (B) 2/3  (C) 1  (D) 2
(iii) Linked answer questions (which are also multiple choice questions), where the answer to the first question in the pair is required to answer its successor;
Example: Statement for Linked Answer Questions, for instance, for Questions 52 and 53 in Main Paper: 
An E. coli cell of volume 10-12 cm3 contains 60 molecules of lac-repressor. The repressor has a binding affinity (Kd) of 10-8 M and 10-9 M with and without lactose respectively, in the medium.
First question of the pair:
Q.52 The molar concentration of the repressor in the cell is
(A) 0.1 nM (B) 1 nM (C) 10 nM (D) 100 nM
Second question of the pair:
Q.53 Therefore the lac-operon is
(A) repressed and can only be induced with lactose.
(B) repressed and cannot be induced with lactose.
(C) not repressed.
(D) expressed only when glucose and lactose are present.
(iv) Numerical answer questions, where the answer is a number, to be entered by the candidate using the mouse and a virtual keypad that will be provided on the screen.
Design of Questions
The questions in a paper may be designed to test the following abilities:
(i) Recall: These are based on facts, principles, formulae or laws of the discipline of the paper. The candidate is expected to be able to obtain the answer either from his/her memory of the subject or at most from a one-line computation.
Example
Q. During machining maximum heat is produced
(A)  in flank face
(B)  in rake face
(C)  in shear zone
(D)  due to friction between chip and tool
(ii) Comprehension: These questions will test the candidate’s understanding of the basics of his/her field, by requiring him/her to draw simple conclusions from fundamental ideas.
Example
Q. A DC motor requires a starter in order to
(A)  develop a starting torque
(B)  compensate for auxiliary field ampere turns
(C)  limit armature current at starting
(D) provide regenerative braking
(iii) Application: In these questions, the candidate is expected to apply his/her knowledge either through computation or by logical reasoning.
Example
Q. The sequent depth ratio of a hydraulic jump in a rectangular channel is 16.48. The Froude number at the beginning of the jump is:
(A)  5.0  (B) 8.0    (C)  10.0  (D) 12.0
(iv) Analysis and Synthesis These can be linked answer questions, where the answer to the first question of the pair is required in order to answer its successor. Or these can be common data questions, in which two questions share the same data but can be solved independently of each other.
Common data based questions: Two questions are linked to a common data problem, passage and the like. Each question is independent and its solution is obtainable from the above problem data or passage directly. (Answer of the previous question is not required to solve the next question). Each question under this group will carry two marks.
Linked answer questions: These questions are of problem solving type. A problem statement is followed by two questions based on the problem statement. The two questions are designed such that the solution to the second question depends upon the answer to the first one. In other words, the first answer is an intermediate step in working out the second answer. Each question in such ‘linked answer questions’ will carry two marks.
Examples of each of this design is given in the types of questions above.
The questions based on the above four logics may be a mix of single stand alone statement/phrase /data type questions, combination of option codes type questions or match items type questions. 

Marking Scheme

For 1 mark multiple choice questions, 1/3 mark will be deducted for a wrong answer. Likewise, for 2 marks multiple choice questions, 2/3  mark will be deducted for a wrong answer. However, for the linked answer question pair, where each question carries 2 marks, 2/3  mark will be deducted for a wrong answer to the first question only. There is no negative marking for wrong answer to the second question of the linked answer question pair. If the first question in the linked pair is wrongly answered or is unattempted, then the answer to the second question in the pair will not be evaluated. There is no negative marking for numerical answer type questions (numerical answer type questions will appear only in the papers for which the exam is ONLINE only).
General Aptitude (GA) Questions 
In all papers, GA questions are of multiple choice type, and carry a total of 15 marks.  The GA section includes 5 questions carrying 1 mark each (sub-total 5 marks) and 5 questions carrying 2 marks each (sub-total 10 marks).
Question papers other than GG, XE and XL
These papers would contain 25  questions carrying one mark each (sub-total 25 marks) and 30  questions carrying two marks each (sub-total 60 marks).  Out of these, two pairs of questions would be common data questions, and two pairs of questions would be linked answer questions.  In the ONLINE papers, the question paper will consist of  questions of multiple choice type and numerical answer type. For multiple choice type questions, each question will have four choices for the answer. For numerical answer type questions, each question will have a number as the answer and choices will not be givenThe answer is to be entered using the mouse and a virtual keypad that will appear on the screen.
GG (Geology and Geophysics) Paper
Apart from the General Aptitude (GA) section, the GG question paper consists of two parts: Part A and Part B. Part A is common for all candidates. Part B contains two sections: Section 1 (Geology) and Section 2 (Geo-physics). Candidates will have to attempt questions in Part A and either Section 1 or Section 2 in Part B.
Part A consists of 25 multiple choice questions carrying 1-mark each (sub-total 25 marks & some of these may be numerical questions). Each section  in Part B (Section 1 and Section 2) consists of 30 multiple choice questions carrying 2 marks each (sub-total 60 marks and some of these may be numerical questions). Out of these, two pairs of questions would be common data questions, and two pairs of questions would be linked answer questions.
XE Paper (Engineering Sciences)
In XE paper, Engineering Mathematics section (Section A) is compulsory. This section contains 11 multiple choice questions carrying a total of 15 marks: 7 questions carrying 1-mark each (sub-total 7 marks), and 4 questions carrying 2-marks each (sub-total 8 marks). Some of the multiple choice questions may be replaced by numerical questions.
Each of the other sections of the XE paper (Sections B through G) contains 22 questions carrying a total of 35 marks:  9 questions carrying 1 mark each (sub-total 9 marks) and 13 questions carrying 2 marks each (sub-total 26 marks).  Out of the 2 mark questions, 2 pairs are common data questions and 1 pair is linked answer questions. Some of the multiple choice questions may be replaced by numerical questions.
XL Paper (Life Sciences)
In XL paper,  Chemistry section (Section H) is compulsory. This section contains 15 multiple choice questions carrying a total of 25 marks: 5 questions carrying 1 mark each (sub-total 5 marks) and  10 questions carrying 2-marks each (sub-total 20 marks).  Out of the 2-mark questions, 1 pair is common data questions, and 1 pair is linked answer questions. Some of the multiple choice questions may be replaced by numerical questions.
Each of the other sections of the XL paper (Sections I through M) contains 20 multiple choice questions carrying a total of 30 marks: 10 questions carrying 1 mark each (sub-total 10 marks) and 10 questions carrying 2 marks each (sub-total 20 marks). Some of the multiple choice questions may be replaced by numerical questions.

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