Tuesday, August 18, 2015
GATE 2016 Syllabi
The syllabus for each of the papers can be
found by clicking on the subject papers below. Read the section on Structure of
GATE 2016 to know what sections
appear in each paper, especially in XE and XL.
*The syllabi for GATE 2016 papers have been revised. Hence, syllabi
of some papers may be different from those of GATE 2015.
CLICK ON ANY SUBJECT TO DOWNLOAD SYLLABUS
CLICK ON ANY SUBJECT TO DOWNLOAD SYLLABUS
Section 1: 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, local maxima and minima, Taylor and
Maclaurin series; Evaluation of definite and indefinite integrals, application
of definite integral to obtain area and volume; Partial derivatives; Total
derivative; Gradient, Divergence and Curl, Vector identities, Directional
derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s
theorems.
Ordinary Differential Equation (ODE): First order (linear and non-linear) equations; higher order
linear equations with constant coefficients; Euler-Cauchy equations; Laplace
transform and its application in solving linear ODEs; initial and boundary
value problems.
Partial Differential Equation (PDE): Fourier series; separation of variables; solutions of
one-dimensional diffusion equation; first and second order one-dimensional wave
equation and two-dimensional Laplace equation.
Probability and Statistics: Definitions of probability and sampling theorems;
Conditional probability; Discrete Random variables: Poisson and Binomial
distributions; Continuous random variables: normal and exponential
distributions; Descriptive statistics - Mean, median, mode and standard
deviation; Hypothesis testing.
Numerical Methods: Accuracy and precision; error analysis. Numerical solutions
of linear and non-linear algebraic equations; Least square approximation,
Newton’s and Lagrange polynomials, numerical differentiation, Integration by
trapezoidal and Simpson’s rule, single and multi-step methods for first order
differential equations.
Section 2: Structural
Engineering
Engineering Mechanics: System of forces, free-body diagrams, equilibrium equations; Internal
forces in structures; Friction and its applications; Kinematics of point mass
and rigid body; Centre of mass; Euler’s equations of motion; Impulse-momentum;
Energy methods; Principles of virtual work.
Solid Mechanics: Bending moment and shear force in statically determinate
beams; Simple stress and strain relationships; Theories of failures; Simple
bending theory, flexural and shear stresses, shear centre; Uniform torsion,
buckling of column, combined and direct bending stresses.
Structural Analysis: Statically determinate and indeterminate structures by force/
energy methods; Method of superposition; Analysis of trusses, arches, beams,
cables and frames; Displacement methods: Slope deflection and moment
distribution methods; Influence lines; Stiffness and flexibility methods of
structural analysis.
Construction Materials and Management: Construction Materials: Structural steel - composition,
material properties and behaviour; Concrete - constituents, mix design,
short-term and long-term properties; Bricks and mortar; Timber; Bitumen.
Construction Management: Types of construction projects; Tendering and
construction contracts; Rate analysis and standard specifications; Cost
estimation; Project planning and network analysis - PERT and CPM.
Concrete
Structures: Working stress, Limit state and Ultimate
load design concepts; Design of beams, slabs, columns; Bond and development
length; Prestressed concrete; Analysis of beam sections at transfer and service
loads.
Steel Structures: Working stress and Limit state design concepts; Design of
tension and compression members, beams and beam- columns, column bases;
Connections - simple and eccentric, beam-column connections, plate girders and
trusses; Plastic analysis of beams and frames.
Section 3: Geotechnical
Engineering
Soil Mechanics: Origin of soils, soil structure and fabric; Three-phase
system and phase relationships, index properties; Unified and Indian standard
soil classification system; Permeability - one dimensional flow, Darcy’s law;
Seepage through soils - two-dimensional flow, flow nets, uplift pressure,
piping; Principle of effective stress, capillarity, seepage force and quicksand
condition; Compaction in laboratory and field conditions; One-dimensional
consolidation, time rate of consolidation; Mohr’s circle, stress paths,
effective and total shear strength parameters, characteristics of clays and
sand.
Foundation Engineering: Sub-surface investigations - scope, drilling bore holes,
sampling, plate load test, standard penetration and cone penetration tests;
Earth pressure theories - Rankine and Coulomb; Stability of slopes - finite and
infinite slopes, method of slices and Bishop’s method; Stress distribution in
soils - Boussinesq’s and Westergaard’s theories, pressure bulbs; Shallow foundations
- Terzaghi’s and Meyerhoff’s bearing capacity theories, effect of water table;
Combined footing and raft foundation; Contact pressure; Settlement analysis in
sands and clays; Deep foundations - types of piles, dynamic and static
formulae, load capacity of piles in sands and clays, pile load test, negative
skin friction.
Section 4: Water Resources
Engineering
Fluid Mechanics: Properties of fluids, fluid statics; Continuity, momentum,
energy and corresponding equations; Potential flow, applications of momentum
and energy equations; Laminar and turbulent flow; Flow in pipes, pipe networks;
Concept of boundary layer and its growth.
Hydraulics: Forces on immersed bodies; Flow measurement in channels and
pipes; Dimensional analysis and hydraulic similitude; Kinematics of flow,
velocity triangles; Basics of hydraulic machines, specific speed of pumps and
turbines; Channel Hydraulics - Energy-depth relationships, specific energy,
critical flow, slope profile, hydraulic jump, uniform flow and gradually varied
flow
Hydrology: Hydrologic cycle, precipitation, evaporation,
evapo-transpiration, watershed, infiltration, unit hydrographs, hydrograph
analysis, flood estimation and routing, reservoir capacity, reservoir and channel
routing, surface run-off models, ground water hydrology - steady state well
hydraulics and aquifers; Application of Darcy’s law.
Irrigation: Duty, delta, estimation of evapo-transpiration; Crop water
requirements; Design of lined and unlined canals, head works, gravity dams and
spillways; Design of weirs on permeable foundation; Types of irrigation
systems, irrigation methods; Water logging and drainage; Canal regulatory
works, cross-drainage structures, outlets and escapes.
Section
5: Environmental Engineering
Water and Waste Water: Quality standards, basic unit processes and operations for
water treatment. Drinking water standards, water requirements, basic unit
operations and unit processes for surface water treatment, distribution of
water. Sewage and sewerage treatment, quantity and characteristics of
wastewater. Primary, secondary and tertiary treatment of wastewater, effluent
discharge standards. Domestic wastewater treatment, quantity of characteristics
of domestic wastewater, primary and secondary treatment. Unit operations and
unit processes of domestic wastewater, sludge disposal.
Air Pollution: Types of pollutants, their sources and impacts, air pollution
meteorology, air pollution control, air quality standards and limits.
Municipal Solid Wastes: Characteristics, generation, collection and transportation of
solid wastes, engineered systems for solid waste management (reuse/ recycle,
energy recovery, treatment and disposal).
Noise Pollution: Impacts of noise, permissible limits of noise pollution,
measurement of noise and control of noise pollution.
Section 6: Transportation
Engineering
Transportation Infrastructure: Highway alignment and engineering surveys; Geometric design
of highways - cross-sectional elements, sight distances, horizontal and
vertical alignments; Geometric design of railway track; Airport runway length,
taxiway and exit taxiway design.
Highway Pavements: Highway materials - desirable properties and quality
control tests; Design of bituminous paving mixes; Design factors for flexible
and rigid pavements; Design of flexible pavement using IRC: 37-2012; Design of
rigid pavements using IRC: 58-2011; Distresses in concrete pavements.
Traffic Engineering: Traffic studies on flow, speed, travel time - delay and O-D
study, PCU, peak hour factor, parking study, accident study and analysis,
statistical analysis of traffic data; Microscopic and macroscopic parameters of
traffic flow, fundamental relationships; Control devices, signal design by
Webster’s method; Types of intersections and channelization; Highway capacity
and level of service of rural highways and urban roads.
Section 7: Geomatics
Engineering
Principles of surveying; Errors and
their adjustment; Maps - scale, coordinate system; Distance and angle
measurement - Levelling and trigonometric levelling; Traversing and
triangulation survey; Total station; Horizontal and vertical curves.
Photogrammetry
- scale, flying height; Remote sensing - basics, platform and sensors, visual
image interpretation; Basics of Geographical information system (GIS) and
Geographical Positioning system (GPS).
