Page 1 GATE Mechanical Syllabus Weightage Verbal Ability Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 English Grammar 7 7 6 8 6 9 Sentence Completion Verbal Analogies Word Groups Instructions Critical reasoning and verbal deduction Numerical Ability Topics Paper 2019 Paper 2018 Paper 2017 Page 2 GATE Mechanical Syllabus Weightage Verbal Ability Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 English Grammar 7 7 6 8 6 9 Sentence Completion Verbal Analogies Word Groups Instructions Critical reasoning and verbal deduction Numerical Ability Topics Paper 2019 Paper 2018 Paper 2017 Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Numerical computation 8 8 9 7 9 6 Numerical estimation Numerical reasoning and data interpretation GATE Mechanical Engineering Mathematics Weightage & Syllabus Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Linear Algebra 13 13 13 13 13 14 Calculus Differential equations Complex variables Probability and Statistics Numerical Methods Page 3 GATE Mechanical Syllabus Weightage Verbal Ability Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 English Grammar 7 7 6 8 6 9 Sentence Completion Verbal Analogies Word Groups Instructions Critical reasoning and verbal deduction Numerical Ability Topics Paper 2019 Paper 2018 Paper 2017 Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Numerical computation 8 8 9 7 9 6 Numerical estimation Numerical reasoning and data interpretation GATE Mechanical Engineering Mathematics Weightage & Syllabus Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Linear Algebra 13 13 13 13 13 14 Calculus Differential equations Complex variables Probability and Statistics Numerical Methods 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 denite 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 coefcients Euler-Cauchy equation Initial and boundary value problems Laplace transforms Solutions of heat, wave and Laplace's equations Complex variables Page 4 GATE Mechanical Syllabus Weightage Verbal Ability Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 English Grammar 7 7 6 8 6 9 Sentence Completion Verbal Analogies Word Groups Instructions Critical reasoning and verbal deduction Numerical Ability Topics Paper 2019 Paper 2018 Paper 2017 Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Numerical computation 8 8 9 7 9 6 Numerical estimation Numerical reasoning and data interpretation GATE Mechanical Engineering Mathematics Weightage & Syllabus Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Linear Algebra 13 13 13 13 13 14 Calculus Differential equations Complex variables Probability and Statistics Numerical Methods 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 denite 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 coefcients Euler-Cauchy equation Initial and boundary value problems Laplace transforms Solutions of heat, wave and Laplace's equations Complex variables Cauchy’s integral theorem and integral formula Taylor and Laurent series. Probability and Statistics Denitions 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. GATE Mechanical Applied Mechanics and Design Weightage & Syllabus Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Engineering Mechanics 5 3 4 7 4 6 Strength of Materials 8 9 14 10 11 8 Theory of Machines & Vibration 9 11 8 4 7 8 Machine Design 5 4 5 4 3 7 Page 5 GATE Mechanical Syllabus Weightage Verbal Ability Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 English Grammar 7 7 6 8 6 9 Sentence Completion Verbal Analogies Word Groups Instructions Critical reasoning and verbal deduction Numerical Ability Topics Paper 2019 Paper 2018 Paper 2017 Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Numerical computation 8 8 9 7 9 6 Numerical estimation Numerical reasoning and data interpretation GATE Mechanical Engineering Mathematics Weightage & Syllabus Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Linear Algebra 13 13 13 13 13 14 Calculus Differential equations Complex variables Probability and Statistics Numerical Methods 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 denite 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 coefcients Euler-Cauchy equation Initial and boundary value problems Laplace transforms Solutions of heat, wave and Laplace's equations Complex variables Cauchy’s integral theorem and integral formula Taylor and Laurent series. Probability and Statistics Denitions 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. GATE Mechanical Applied Mechanics and Design Weightage & Syllabus Topics Paper 2019 (Weightage) Paper 2018 (Weightage) Paper 2017 (Weightage) Set 1 Set 2 Set 1 Set 2 Set 1 Set 2 Engineering Mechanics 5 3 4 7 4 6 Strength of Materials 8 9 14 10 11 8 Theory of Machines & Vibration 9 11 8 4 7 8 Machine Design 5 4 5 4 3 7 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 Deection 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 Theory of MachinesRead More

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