GATE PI Engineering Mathematics
Syllabus structure & chapters
Complete syllabus outline for GATE PI Engineering Mathematics. Click on any chapter below to explore subtopics, key concept highlights, expected questions, and start practicing mock tests specifically customized for GATE PI preparation.
Linear Algebra
Matrix Algebra and Rank, Systems of Linear Equations, Eigenvalues and Eigenvectors, Cayley-Hamilton Theorem
Calculus
Mean Value Theorems, Maxima and Minima, Partial Derivatives and Multiple Integrals, Gradient, Divergence and Curl, Line, Surface and Volume Integrals, Stokes', Gauss' and Green's Theorems
Differential Equations
First Order Equations: Linear and Nonlinear, Higher Order Linear Equations with Constant Coefficients, Cauchy's and Euler's Equations, Initial and Boundary Value Problems, Laplace Transforms
Complex Variables
Analytic Functions, Cauchy-Riemann Equations, Cauchy's Integral Theorem and Integral Formula, Taylor and Laurent Series, Residue Theorem
Probability and Statistics
Sampling Theorems and Conditional Probability, Mean, Median, Mode and Standard Deviation, Random Variables and Distributions, Binomial, Poisson and Normal Distributions, Correlation and Regression Analysis
Numerical Methods
Numerical Solutions of Linear and Nonlinear Algebraic Equations, Iterative Methods and Convergence, Numerical Integration and Differentiation, Single and Multi-step Methods for ODEs