## GATE 2022 Syllabus

Contents

The GATE 2021 was conducted by IIT Bombay. The GATE 2022 Syllabus can be broadly categorized into four Sections.

GATE 2022 will be conducted by IIT Kharagpur in the month of February. The tentative dates of GATE 2022 are yet to be decided but it must be in the first and second week of February.

1. Section 1: Engineering Mathematics
2. Section 2: Applied Mechanics and Design
3. Section 3: Fluid Mechanics and Thermal Sciences
4. Section 4: Materials, Manufacturing, and Industrial Engineering

## GATE 2022 Syllabus

### Section 1: Engineering Mathematics

#### Linear Algebra

• Matrix Algebra
• Systems of Linear Equations
• Eigen Values
• Eigen Vectors

#### 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
• 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
• 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 Rule
• Single and Multi-step Methods for Differential Equations

Read Also: GATE Mechanical Engineering Quiz-01

### Section 2: Applied Mechanics and Design

#### Engineering Mechanics

• Free-body Diagrams and Equilibrium
• Trusses and Frames
• Virtual Work
• Kinematics and Dynamics of Particles and of Rigid bodies in Plane Motion
• Impulse and Momentum (Linear and Angular) and Energy Formulations
• Collisions

#### 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
• Deflection of Beams
• Torsion of Circular Shafts
• Euler’s theory of columns
• Energy methods
• Thermal stresses
• Strain Gauges and Rosettes
• testing of materials with the universal testing machine
• testing of hardness and impact strength

#### Theory of Machines

• Displacement, Velocity and Acceleration Analysis of Plane Mechanisms
• 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

• 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

#### Fluid Mechanics

• Fluid properties
• Fluid Statics
• Manometry
• Buoyancy
• Forces on submerged bodies
• Stability of Floating Bodies
• Control-Volume Analysis of Mass, Momentum, and energy
• Fluid acceleration
• Differential Equations of Continuity and Momentum
• Bernoulli’s equation
• Dimensional analysis
• The viscous flow of Incompressible Fluids
• Boundary layer
• Elementary Turbulent Flow
• Flow-through Pipes
• Bends and Fittings

#### Heat Transfer

• Modes of heat transfer
• One dimensional heat conduction
• Resistance Concept and Electrical Analogy
• Heat transfer through fins
• Lumped Parameter System
• Heisler’s Charts
• Thermal Boundary Layer
• Dimensionless Parameters in Free and Forced Convective Heat Transfer
• Heat transfer Correlations for Flow over Flat Plates and through Pipes
• Effect of turbulence
• Heat Exchanger Performance
• LMTD and NTU methods
• Stefan Boltzmann Law
• Wien’s Displacement Law
• Black and Grey Surfaces
• View Factors

#### Thermodynamics

• Thermodynamic Systems and Processes
• Properties of Pure Substances
• The behavior of Ideal and Real Gases
• Zeroth and first laws of Thermodynamics
• Calculation of work and heat in various processes
• Second Law of Thermodynamics
• Thermodynamic Property Charts and tables,
• Availability and Ir-reversibility
• Thermodynamic Relations

#### Power Engineering

• Air and gas compressors
• Vapor and gas power cycles
• Concepts of Regeneration and Reheat

#### I. C. Engine

• Air-standard Otto Diesel and dual cycles

#### Refrigeration and Air Conditioning

• Vapor and Gas Refrigeration and Heat Pump Cycles
• Properties of Moist Air
• Psychrometric Chart
• Basic Psychrometric Processes

#### Turbomachinery

• Impulse and Reaction Principles
• Velocity Diagrams
• Pelton Wheel
• Francis and Kaplan Turbines

### Section 4: Materials, Manufacturing, and Industrial Engineering

#### Engineering Materials

• Structure and properties of engineering materials
• Phase Diagrams
• Heat treatment
• Stress-Strain Diagrams for engineering materials

#### Casting, Joining and Forming 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

#### Machine and Machining 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
• Design of Jigs and Fixtures.

#### Metrology and Inspection

• Limits, Fits, and Tolerances
• Linear and Angular Measurements
• Comparators
• Gauge Design
• Interferometry
• Form and Finish Measurement
• Alignment and Testing Methods
• Tolerance Analysis in Manufacturing and Assembly

#### Computer Integrated Manufacturing

• Basic concepts of CAD/CAM and their integration tools

#### Production Planning and Control

• Forecasting models
• Aggregate Production Planning, Scheduling, Materials Requirement Planning

#### Inventory Control

• Deterministic models
• Safety Stock Inventory Control Systems

#### Operation Research

• Linear Programming
• Simplex method
• Transportation
• Assignment
• Network Flow Models
• Simple Queuing Models
• PERT and CPM

So, this was the updated GATE 2022 Syllabus. Now lets check the GATE Exam Pattern.

### GATE Exam Pattern

If you are preparing for GATE Paper, it is important to know the syllabus but it would be very good if you also know the pattern of the exam. This helps us effective preparation for the preparation.

#### GATE 2020 EXAM PATTERN

The exam is conducted online every year in the month of February. The GATE 2020 exam pattern was as follows-

• Total Number of Questions- 65
• Total Marks- 100
• The Exam Duration- 3 hours.
• The paper consisted of two types of Questions- Objective Type Questions (MCQs) and Numerical Answer Type (NAT) Questions.
• Negative Marks for Objective Type Questions (Multiple Choice)
• But No Negative Marks for Numerical Answer Type Questions.
• There were three Sections- General Aptitude, Engineering Mathematics, and Engineering Specific Subjects.

### Marking Pattern

General Aptitude Paper consisted of 15 questions

• Total Marks- 15
• 5 Questions consisted of 1 mark
• Another 5 Questions consisted of 2 marks.

#### Negative Markings

• For 1 mark Multiple Choice 1/3 mark deduction
• For 2 mark Multiple Choice 2/3 mark deduction
• No Negative Marks for questions not attempted
• No Negative Marks for NAT Questions

Note- In the NAT type questions, the students with the help of mouse and virtual keyboard have to type their answers in the blank space provided. The answer could be any real number.

### GATE Cut off Marks Mechanical

It is also very important for the aspirant to know the previous cut-off. It helps us in better preparation in terms of time management, subject choices, and marks distribution.

#### GATE 2020 Cut off Marks

• General Categories- 34
• OBC Categories- 30.6
• SC/ST/PD Categories- 22.6

#### GATE 2019 Cut off Marks

• General Categories- 34.1
• OBC Categories- 30.7
• SC/ST/PD Categories- 22.7

#### GATE 2018 Cut off Marks

• General Categories- 34.7
• OBC Categories- 31.2
• SC/ST/PD Categories- 23.1

#### GATE 2017 Cut off Marks

• General Categories- 32.87
• OBC Categories- 29
• SC/ST/PD Categories- 21

#### GATE 2016 Cut off Marks

• General Categories- 29.6
• OBC Categories- 26.6
• SC/ST/PD Categories- 19.7

#### GATE 2015 Cut off Marks

• General Categories- 32.73
• OBC Categories- 29.46
• SC/ST/PD Categories- 21.82

#### GATE 2014 Cut off Marks

• General Categories- 28.86
• OBC Categories- 25.97
• SC/ST/PD Categories- 19.24