GATE Mechanical Syllabus & Books

S.No

Topics

Sub-topics

Important Books

Engineering Mathematics

1

Linear Algebra

Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.

Matrices by AR Vashista

2

Ordinary Differential Equations

Differential Calculus by Shanti Narayan

Differential Calculus by Golden Series

3

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.

Intergral Calculus by Shanti Narayan

Intergral Calculus by Golden Series

Calculus by Thomas Finney

4

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.

Differential Equations by Golden Series

Differential Equations by ML Khanna

An Intro. to Ordinary Differential Equalitions by Earl A Coddington

5

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.

Numerical Analysis by Golden Series

Numerical Methods by SS Sastry

Numerical Methods by BS Grewal

6

Complex Variables

Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theorem and integral formula; Taylor and Laurent series.

Advanced Engineering Mathematics by Erwin Kreyszig

Higher Engineering Mathematics by BS Grewal

Engineering Mathematics by NP Bali

7

Probability and Statistics

Definitions of probability, sampling theorems, conditional probability; mean, median, mode and standard deviation; random variables, binomial, Poisson and normal distributions.

Probability and Statistics by Miller and Freund

Fundamental of Mathematical Statistics by VK Kapoor

Mechanical Engineering

8

Applied Mechanics and Design

Free-body diagrams and equilibrium; trusses and frames; kinematics and dynamics, impulse and momentum, collisions, Poisson's ratio; Mohr’s circle for plane stress and plane strain; thin cylinders; shear force and bending moment diagrams; deflection of beams; torsion of circular shafts; Euler’s theory of columns; thermal stresses; strain gauges and rosettes; testing of hardness and impact strength, Free and forced vibration of single degree of freedom systems, effect of damping; vibration isolation; resonance; critical speeds of shafts.

Engineering Mechanics by Singer

9

Fluid Mechanics and Thermal Sciences

Fluid Mechanics, manometry, buoyancy, control-volume analysis of mass, fluid acceleration, differential equations of continuity and momentum; Bernoulli’s equation, elementary turbulent flow, Heat-Transfer, Heisler's charts thermal boundary layer, heat exchanger performance, LMTD and NTU methods; Stefan Boltzmann law, Wien's displacement law, black and grey surfaces, view factors, radiation network analysis, Thermodynamic systems and processes; zeroth and first laws of thermodynamics, second law of thermodynamics, availability and irreversibility, Power Engineering, Refrigeration and air-conditioning, Turbomachinery, etc.

Applied Mechanics by Khurmi

Engineering Mechanics by Tinua Shenko

10

Materials, Manufacturing and Industrial Engineering

Engineering Materials, Plastic deformation and yield criteria Machining and Machine Tool Operations, Metrology and Inspection, Computer Integrated Manufacturing, Production Planning and Control, Inventory Control, Operations Research: Linear programming, simplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM.

Mechanics of Materials by BC Punmia and AK jain

Strength of Materials by S Ramamrutham

Strength of Materials by Schaum Series

11

Theory of Machines & Machine design

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. 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.

Theory of Machines by Rattan

Theory of Machines RS Khurmi

Theory of Machines by PL Ballaney

Theory of Machines through solved problems by JS Rao

Theory of Machines by Thomas Beven

Theory of Machines by Sadhu Singh