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Here you can check the syllabus of Mechanical Engineering given below.
GATE Syllabus 2018 for Mechanical Engineering
Section 1 - Engineering Mathematics
Section 2 - Applied Mechanics & Design
Section 3 - Fluid Mechanics & Thermal Sciences
Section 4 - Materials, Manufacturing & Industrial Engineering
1. Engineering Mathematics
Linear Algebra
Calculus
Differential equations
Complex variables
Probability and Statistics
Numerical Methods
2.
Applied Mechanics & Design
Engineering Mechanics
Mechanics of Materials
Theory of Machines
Vibrations
Machine Design
3.
Fluid Mechanics & Thermal Sciences
Fluid Mechanics
Heat-Transfer
Thermodynamics
Applications
4.
Materials, Manufacturing & Industrial Engineering
Engineering Materials
Casting, Forming and Joining Processes
Machining and Machine Tool Operations
Metrology and Inspection
Computer Integrated Manufacturing
Production Planning and Control
Inventory Control
Operations Research
For further you can go through with given below link
GATE Mechanical Engineering Syllabus
Good Luck!
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