Gate 2010 Aeronautical Syllabus

AE-Aerospace Engineering


ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, systems of linear equations, eigen values and eigen vectors. Calculus: Functions of single variable, limit, continuity and differentiability, mean value theorems, evaluation of definite and improper integrals, partial derivatives, total derivative, maxima and minima, gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals. Theorems of Stokes, Gauss and Green.


Differential Calculus: First order linear and nonlinear equations, higher order linear ODEs with constant coefficients, Cauchy and Euler equations, initial and boundary value problems, Laplace transforms.

Partial differential equations and separation of variables methods.


Numerical methods: Numerical solution of linear and nonlinear algebraic equations, integration by trapezoidal and Simpson rule, single and multi-step methods for differential equations.


Scorecard will be sent only to the qualified candidates. No information will be sent to candidates who are not qualified.


FLIGHT MECHANICS
Atmosphere: Properties, standard atmosphere. Classification of aircraft. Airplane (fixed wing aircraft) configuration and various parts.


Airplane performance: Pressure altitude; equivalent, calibrated, indicated air speeds; Primary flight instruments: Altimeter, ASI, VSI, Turn-bank indicator. Drag polar; take off and landing; steady climb & descent,-absolute and service ceiling; cruise, cruise climb, endurance or loiter; load factor, turning flight, V-n diagram; Winds: head, tail & cross winds.


Static stability: Angle of attack, sideslip; roll, pitch & yaw controls; longitudinal stick fixed & free stability, horizontal tail position and size; directional stability, vertical tail position and size; dihedral stability. Wing dihedral, sweep & position; hinge moments, stick forces.


Dynamic stability: Euler angles; Equations of motion; aerodynamic forces and moments, stability & control derivatives; decoupling of longitudinal and lat-directional dynamics; longitudinal modes; lateral-directional modes.


SPACE DYNAMICS
Central force motion, determination of trajectory and orbital period in simple cases. Orbit transfer, in-plane and out-of-plane. Elements of rocket motor performance.


AERODYNAMICS
Basic Fluid Mechanics: Incompressible irrotational flow, Helmholtz and Kelvin theorem, singularities and superposition, viscous flows, boundary layer on a flat plate.


Airfoils and wings: Classification of airfoils, aerodynamic characteristics, high lift devices, Kutta Joukowski theorem; lift generation; thin airfoil theory; wing theory; induced drag; qualitative treatment of low aspect ratio wings.


Viscous Flows: Flow separation, introduction to turbulence, transition, structure of a turbulent boundary layer.


Compressible Flows: Dynamics & Thermodynamics of I-D flow, isentropic flow, normal shock, oblique shock, Prandtl-Meyer flow, flow in nozzles and diffusers, inviscid flow in a c-d nozzle, flow in diffusers. subsonic and supersonic airfoils, compressibility effects on lift and drag, critical and drag divergence Mach number, wave drag.


Wind Tunnel Testing: Measurement and visualisation techniques.


STRUCTURES
Stress and Strain: Equations of equilibrium, constitutive law, strain-displacement relationship, compatibility equations, plane stress and strain, Airy's stress function.


Flight Vehicle Structures: Characteristics of aircraft structures and materials, torsion, bending and flexural shear. Flexural shear flow in thin-walled sections. Buckling. Failure theories. Loads on aircraft.


Structural Dynamics: Free and forced vibration of discrete systems. Damping and resonance. Dynamics of continuous systems.


PROPULSION
Thermodynamics of Aircraft Gas Turbine engines, thrust and thrust augmentation.


Turbomachinery: Axial compressors and turbines, centrifugal pumps and compressors.


Aerothermodynamics of non rotating propulsion components: Intakes, combustor and nozzle. Thermodynamics of ramjets and scramjets. Elements of rocket propulsion.

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The GATE examination consists of a single paper of 3 hours duration, which contains 65 questions carrying a maximum of 100 marks. The question paper will consist of only multiple choice objective questions. Each question will have four choices for the answer. The examination for the papers with codes TF and MN will be carried out ONLINE using computers where the candidates will be required to select the correct choice from among the four provided options. For all other papers, the candidates will have to mark the correct choice on an Optical Response Sheet (ORS) by darkening the appropriate bubble against each question. There will be negative marking

for each wrong answer, as explained in Question Paper Pattern.

A candidate can choose any one of the papers listed below.

PAPER	CODE	PAPER	CODE
Aerospace Engineering	AE	Geology and Geophysics	GG#
Agricultural Engineering	AG	Instrumentation Engineering	IN
Architecture and Planning	AR	Life Sciences	XL*
Biotechnology	BT	Mathematics	MA
Civil Engineering	CE	Mechanical Engineering	ME
Chemical Engineering	CH	Mining Engineering	MN$
Computer Science and Information Technology	CS	Metallurgical Engineering	MT
Chemistry	CY	Physics	PH
Electronics and  Communication Engineering	EC	Production and Industrial Engineering	PI
Electrical Engineering	EE	Textile Engineering and Fibre Science	TF$
Engineering Sciences	XE*

^# GG (Geology and Geophysics) paper will consist of two parts: Part A and Part B. Part A will be common for all candidates. Part B will contain two sections: Section 1 (Geology) and Section 2 (Geophysics). Candidates will have to attempt questions in Part A and either Section 1 or Section 2 in Part B.

^$ GATE 2010 examination for Mining Engineering (MN) and Textile Engineering and Fibre Science (TF) papers will be computer based ONLINE examination.

* Papers XE and XL are of general nature and will comprise the following sections:

XE paper sections (Engineering Sciences)		XL paper sections (Life Sciences)
SECTIONS	CODE	SECTIONS	CODE
Engineering Mathematics  (Compulsory)	A	Chemistry (Compulsory)	H
Fluid Mechanics	B	Biochemistry	I
Materials Science	C	Botany	J
Solid Mechanics	D	Microbiology	K
Thermodynamics	E	Zoology	L
Polymer Science and  Engineering	F
Food Technology	G

A candidate appearing in XE or XL paper will be required to answer three sections. Section A is compulsory in XE paper and Section H is compulsory in XL paper. The candidate can choose any two out of the remaining sections listed against the respective papers.

The choice of the appropriate paper is the responsibility of the candidate. Some guidelines in this respect are suggested below:

Candidate is expected to appear in a paper (one of the listed above) appropriate to the discipline of his/her qualifying degree.

Candidate is, however, free to choose any paper according to his/her admission plan, keeping in mind the eligibility criteria of the institutions in which he/she wishes to seek admission.

Each paper contains 65 questions carrying 100 marks

Question Paper Pattern in papers bearing the codes AE, AG, AR, BT , CE, CH, CS, CY, EC, EE, IN, MA, ME, MN, MT, PH, PI and TF Question Paper Pattern in paper bearing the code GG Question Paper Pattern in SECTION A of paper bearing the code XE Question Paper Pattern in SECTIONS B to G of paper bearing the code XE Question Paper Pattern in SECTION H of paper bearing the code XL Question Paper Pattern in SECTIONS I to L of paper bearing the code XL  (Refer Exam Structure for GATE papers, codes and Syllabi) Types of multiple choice questions

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Question Papers bearing the codes : AE, AG, AR, BT, CE, CH, CS, CY, EC, EE, IN, MA, ME, MN, MT, PH, PI and TF Paper Code Patterns of Question papers Negative Marks for wrong Answer AE, AG, AR, BT, CE, CH, CS, CY, EC, EE, IN, MA, ME, MN, MT, PH, PI, TF Q.1 to Q.25: Will carry one mark each (sub-total 25 marks). 1/3 mark will be deducted for each wrong answer. Q.26 to Q.55: Will carry two marks each (sub-total 60 marks) 2/3 mark will be deducted for each wrong answer. Q.48 through Q.51 (2 pairs) will becommon data questions. Each question will carry two marks 2/3 mark will be deducted for each wrong answer. Question pairs (Q.52, Q.53) and (Q.54, Q.55) will be linked answer questions. The answer to the second question of the last two pairs will depend on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is un-attempted, then the answer to the second question in the pair will not be evaluated. Each question will carry two marks There will be negative marks only for wrong answer to the first question of the linked answer question pair i.e. for Q.52 and Q.54,2/3 mark will be deducted for each wrong answer. There is no negative marking for Q.53 and Q.55. Q.56 to Q.60 : From General Aptitude (GA) will carry one mark each (sub-total 5 marks). 1/3 mark will be deducted for each wrong answer. Q.61 to Q.65 : From GA will carry two marks each (sub-total 10 marks) 2/3 mark will be deducted for each wrong answer. All the papers bearing the codes AE, AG, BT, CE, CH, CS, EC, EE, IN, ME, MN, MT, PI and TF will contain few questions on Engineering Mathematics carrying 15 marks. GG Paper : (Geology & Geophysics) Paper PART A Part A common for all candidates (Q.1 to Q.25) carrying one mark each (sub-total 25 marks). 1/3 mark will be deducted for each wrong answer. Sections 1  & 2 in PART B Part B will contain two sections :Section 1 (Geology) and Section 2 (Geophysics). Candidates will have to attempt questions either Section 1 or Section 2. In this section, Q.26 to Q.55 (30 questions) will carry two marks each(sub-total 60 marks). 2/3 mark will be deducted for each wrong answer. Q.48 to Q.51 (2 pairs) will be common data questions. Each question will carry two marks. 2/3 mark will be deducted for each wrong answer. Question pairs (Q.52, Q.53) and (Q.54, Q.55) will belinked answer questions. The answer to the second question in these two pairs will depend on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is un-attempted, then the answer to the second question in the pair will not be evaluated There will be negative marks only for wrong answer to the first question of the linked answer question pair i.e. for Q.52 and Q.54, 2/3mark will be deducted for each wrong answer. There is no negative marking for Q.53 and Q.55. General Aptitude (GA) Q.56 to Q.60: Will carry one mark each (sub-total 5 marks). 1/3 mark will be deducted for each wrong answer. Q.61 to Q.65: Will carry two marks each (sub-total 10 marks) 2/3 mark will be deducted for each wrong answer.

XE Paper - Section A (Engineering Mathematics)
Section A in XE paper	There will be 11 questions carrying 15 marks in XE Section A (Engineering Mathematics) paper
	Q.1 to Q.7 (4 questions) will carry one mark each (sub-total 7 marks).	1/3  mark will be deducted for each wrong answer.
	Q.8 to Q.11 (4 questions) will carry two marks each (sub-total 8 marks)	2/3  mark will be deducted for each wrong answer.

XE section papers (Sections B through G) will contain 22 questions carrying 35 marks
Sections B, C, D, E, F & G  in  XE papers	Q.1 to Q.9 (9 questions) will carry one mark each (sub-total 9 marks)	1/3 mark will be deducted for each wrong answer.
	Q.10 to Q.22 (13 questions) will carry two marks each(sub-total 26 marks).	2/3  mark will be deducted for each wrong answer.
	Q.17 through Q.20 (2 pairs) will be common data based questions.Each will carry two marks	2/3  mark will be deducted for each wrong answer.
	Q.21, Q.22 will be linked answer questions The answer to the second question of the pair of linked question will depend on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is un-attempted, then the answer to the second question in the pair will not be evaluated.  Each will carry two marks	For Q.21, 2/3 mark will be deducted for wrong answer. There will be no negative mark for Q.22.

XE Paper - General Aptitude (GA)
General Aptitude	There will be 10 questions carrying 15 marks in General Aptitude
	Q.1 to Q.5 (5 questions) will carry one mark each (sub-total 5 marks).	1/3  mark will be deducted for each wrong answer.
	Q.6 to Q.10 (5 questions) will carry two marks each (sub-total 10 marks)	2/3  mark will be deducted for each wrong answer.

XL Paper Section H (Chemistry)
Section H in XL paper	There will be 15 questions carrying 25 marks in XL Section H paper
	Q.1 to Q.5 (5 questions) will carry one mark each (sub-total 5 marks).	1/3  mark will be deducted for each wrong answer.
	Q.6 to Q.15 (10 questions) will carry two marks each (sub-total 20 marks)	2/3  mark will be deducted for each wrong answer.
	(Q.12, Q.13) will be common data questions Each question will carry two marks each	2/3  mark will be deducted for each wrong answer.
	Question pair (Q.14, Q.15) will have linked answer question Each question will carry two marks each There will be negative marks only for wrong answer to the first question of the linked answer question pair.	For Q.14, ⅔ mark will be deducted for wrong answer. There is no negative mark for Q.15.

XL Paper Sections (Sections I through M)
Sections I, J, K and L   in XL paper	XL section papers (Sections I through L) will contain 20 questions carrying 30 marks
	Q.1 to Q.10 (10 questions) will carry one mark each (sub-total 10 marks).	1/3  mark will be deducted for each wrong answer.
	Q.11 to Q.20 (10 questions) will carry two marks each (sub-total 20 marks).	2/3  mark will be deducted for each wrong answer.

XL Paper - General Aptitude (GA)
General Aptitude	There will be 10 questions carrying 15 marks in General Aptitude
	Q.1 to Q.5 (5 questions) will carry one mark each (sub-total 5 marks).	1/3  mark will be deducted for each wrong answer.
	Q.6 to Q.10 (5 questions) will carry two marks each (sub-total 10 marks)	2/3  mark will be deducted for each wrong answer.

Types of multiple choice questions

Multiple choice questions in all papers and sections will contain four answers, of which only one is correct. The types of questions in a paper may be based on following logic:

(i) Recall:

These are based on facts, principles, formulae or laws of the discipline. 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

(A) to develop a starting torque

(B) to compensate for auxiliary field ampere turns

(C) to limit armature current at starting

(D) to 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)  10.0  (B) 5.0

(C)  12.0  (D) 8.0

(iv) Analysis and Synthesis:

These can be linked 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 one another.

Common data questions

Multiple questions may be linked to a common data problem, passage and the like. Two or three questions can be formed from the given common data problem. Each question is independent and its solution obtainable from the above problem data/passage directly. (Answer of the previous question is not required to solve the next question). Each question under this group will carry two marks.

Example

Common Data, for instance, 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

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.

Example:

Statement for Linked Answer Questions, for instance, for Questions 52 and 53 in Main Paper:

The open loop transfer function of a unity feedback control system is given by

First question of the pair:

Q.52 The value of K which will cause sustained oscillations in the closed loop system is

Second question of the pair:

Q.53 The frequency of sustained oscillations is

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 types questions.

The Graduate Aptitude Test in Engineering (GATE) is an all-India examination administered and conducted in eight zones across the country by the GATE Committee comprising faculty from Indian Institute of Science, Bangalore and seven Indian Institutes of Technology on behalf of the National Coordinating Board-GATE, Department of Education, Ministry of Human Resources Development (MHRD), Government of India.

GATE 2010 will include both ONLINE and OFFLINE examinations as per the following details: GATE Examination Examination mode Examination cities Examination Date (day) Examination Time GATE Examination of TF paper ONLINE examination Bangalore, Chennai, Delhi, Guwahati, Kanpur, Kharagpur, Mumbai, Roorkee February 07, 2010 (Sunday) 09.30 hrs – 12.30 hrs GATE Examination of MN paper ONLINE examination Bangalore, Chennai, Delhi, Guwahati, Kanpur, Kharagpur, Mumbai, Roorkee February 07, 2010 (Sunday) 14.30 hrs – 17.30 hrs GATE Examination in all other papers OFFLINE In all cities listed in Examination Cities February 14, 2010 (Sunday) 09.30 hrs – 12.30 hrs TF : Textile Engineering and Fibre Science MN : Mining Engineering ONLINE Examination : Examination using computers where the candidate will select the correct answer out of four options with the help of keyboard and mouse OFFLINE Examination : Examination in the usual manner as in the previous years where the candidate will mark the correct answer out of four options in an Optical Response Sheet (ORS) by darkening the appropriate bubble. The list of papers for GATE 2010 is given under Structure of GATE. The question papers will be inEnglish only. Before applying for GATE 2010, candidates must assure themselves that they have chosen the right paper, which qualifies them to become eligible to seek admission to the specific programme they are interested in. The criteria for postgraduate admission with Scholarship/ Assistantship are different in various Institutes/ Universities. GATE Offices will not provide any information in this regard. For more details, the candidates are required to contact the Institutes/ Universities to which they are interested in seeking admission. The choice of the paper is the responsibility of the candidate. Information about the pattern of the question papers is given under Question Paper Pattern.