GATE Syllabus Add+Removed 2021

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ME Mechanical Engineering


Section 1: Engineering Mathematics
Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.
Calculus: Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms;
evaluation of definite and improper integrals; double and triple integrals; partial derivatives, total derivative, Taylor series (in
one and two variables), maxima and minima, Fourier series; gradient, divergence and curl, vector identities, directional
derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Green’s theorems.
Differential equations: First order equations (linear and nonlinear); higher order linear differential equations with
constant coefficients; Euler-Cauchy equation; initial and boundary value problems; Laplace transforms; solutions of heat,
wave and Laplace’s equations.
Complex variables: Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theorem and integral formula;
Taylor and Laurent series. Probability and Statistics: Definitions of probability, sampling
theorems, conditional probability; mean, median, mode and standard deviation; random variables, binomial, Poisson and
normal distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations; integration by trapezoidal and Simpson’s rules; single and multi-step methods for differential equations.

Section 2: Applied Mechanics and Design

Revised Syllabus GATE 2021
New Added
Topic in
GATE 2021

Removed
Topic in
GATE
2021
Engineering Mechanics: Free-body diagrams and equilibrium; friction and its applications including rolling friction,
belt-pulley, brakes, clutches, screw jack, wedge, vehicles, etc.; trusses and frames;
virtual work; kinematics and dynamics of rigid bodies in plane motion; impulse and momentum (linear and angular) and energy formulations; Lagrange’s equation.
friction and its
applications
including
rolling
friction, belt pulley, brakes,
clutches,
screw jack,
wedge,
vehicles, etc.;
Lagrange’s
equation.
Mechanics of Materials:
Stress and strain, elastic constants,
Poisson’s ratio; Mohr’s circle for
plane stress and plane strain; thin
cylinders; shear force and bending
moment diagrams; bending and
shear stresses; concept of shear
centre; deflection of beams; torsion of circular shafts; Euler’s
theory of columns; energy
methods; thermal stresses; strain
gauges and rosettes; testing of
materials with universal testing
machine; testing of hardness and
impact strength.
concept of
shear centre;
Theory of Machines:
Displacement, velocity and
acceleration analysis of plane
mechanisms; dynamic analysis of
linkages; cams; gears and gear
trains; flywheels and governors;
balancing of reciprocating and
rotating masses; gyroscope.
Vibrations:
Free and forced vibration of single
degree of freedom systems, effect
of damping; vibration isolation;
resonance; critical speeds of
shafts.
Machine Design:
Design for static and dynamic
loading; failure theories; fatigue
strength and the S-N diagram;
principles of the design of
machine elements such as bolted,
riveted and welded joints; shafts,
gears, rolling and sliding contact
bearings, brakes and clutches,
springs.

Section 3: Fluid Mechanics and Thermal Sciences

Section 4: Materials, Manufacturing and Industrial
Engineering

Revised Syllabus GATE 2021New Added
Topic in
GATE 2021
Removed
Topic in
GATE
2021
Engineering Materials:
Structure and properties of
engineering materials, phase
diagrams, heat treatment, stress strain diagrams for engineering
materials.
Casting, Forming and Joining Processes:
Different types of castings, design
of patterns, moulds and cores;
solidification and cooling; riser
and gating design. Plastic deformation and yield criteria;
fundamentals of hot and cold
working processes; load
estimation for bulk (forging,
rolling, extrusion, drawing) and
sheet (shearing, deep drawing,
bending) metal forming
processes; principles of powder
metallurgy. Principles of welding,
brazing, soldering and adhesive
bonding.
Machining and Machine Tool Operations:
Mechanics of machining; basic
machine tools; single and multi￾point cutting tools, tool geometry
and materials, tool life and wear;
economics of machining;
principles of non-traditional
machining processes; principles
of work holding, jigs and fixtures;
abrasive machining processes;
NC/CNC machines and CNC
programming.
abrasive
machining
processes;
NC/CNC
machines and
CNC
programming.
Metrology and Inspection:
Limits, fits and tolerances; linear
and angular measurements;
comparators; interferometry; form
and finish measurement;
alignment and testing methods;
tolerance analysis in manufacturing and assembly;
concepts of coordinate-measuring
machine (CMM).
concepts of
coordinate￾measuring
machine
(CMM)
gauge
design;
Computer Integrated
Manufacturing:

Basic concepts of CAD/CAM and
their integration tools; additive
manufacturing.
additive
manufacturing.
Production Planning and
Control:

Forecasting models, aggregate
production planning, scheduling,
materials requirement planning;
lean manufacturing.
lean
manufacturing.
Inventory Control:
Deterministic models; safety
stock inventory control systems.
Operations Research:
Linear programming, simplex
method, transportation,
assignment, network flow
models, simple queuing models,
PERT and CPM.

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