INDIA’s BEST INSTITUTE FOR GATE [ EC | EE ]
GATE-2020
QUESTIONS
Eng ineer ing
Mathematics
(TOTAL QUESTIONS : 23)
STREAM : EC | EE | IN
Marks Distribution Branch Wise (EC | EE | IN)
EC = 04 Questions (1 Mark) + 04 Questions (2 Marks) = 08 Questions (12 Marks)
EE = 04 Questions (1 Mark) + 02 Questions (2 Marks) = 06 Questions (08 Marks)
IN = 04 Questions (1 Mark) + 05 Questions (2 Marks) = 09 Questions (14 Marks)
GATE Syllabus : EC (Electronics and Communication Engineering)
Engineering Mathematics
Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and
eigen vectors, rank, solution of linear equations – existence and uniqueness.
Calculus: Mean value theorems, theorems of integral calculus, evaluation of definite and improper
integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals,
Taylor series.
Differential Equations: First order equations (linear and nonlinear), higher order linear differential equations,
Cauchy's and Euler's equations, methods of solution using variation of parameters, complementary function
and particular integral, partial differential equations, variable separable method,initial and boundary value
problems.
Vector Analysis: Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss's,
Green's and Stoke's theorems.
Complex Analysis: Analytic functions, Cauchy's integral theorem, Cauchy's integral formula; Taylor's and
Laurent's series, residue theorem.
Numerical Methods: Solution of nonlinear equations, single and multi-step methods for differential
equations, convergence criteria.
Probability and Statistics: Mean, median, mode and standard deviation; combinatorial probability,
probability distribution functions - binomial, Poisson, exponential and normal; Joint and
conditionalprobability; Correlation and regression analysis.
, GATE Syllabus : EE (Electrical Engineering)
Engineering Mathematics
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigenvalues, Eigenvectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals,
Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series, Vector identities, Directional
derivatives, Line integral, Surface integral, Volume integral, Stokes's theorem, Gauss's theorem, Green's
theorem.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations
with constant coefficients, Method of variation of parameters, Cauchy's equation, Euler's equation, Initial
and boundary value problems, Partial Differential Equations, Method of separation of variables.
Complex variables: Analytic functions, Cauchy's integral theorem, Cauchy's integral formula, Taylor series,
Laurent series, Residue theorem, Solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, Median, Mode, Standard
Deviation, Random variables, Discrete and Continuous distributions, Poisson distribution, Normal
distribution, Binomial distribution, Correlation analysis, Regression analysis.
Numerical Methods: Solutions of nonlinear algebraic equations, Single and Multi-step methods for
differential equations.
Transform Theory: Fourier Transform, Laplace Transform, z-Transform.
Join INDIA's Best Doubt & Discussion Group Dedicated for
Note :
Engineering Mathematics subject only.
Telegram Group
https://t.me/Engg_Mathematics
GATE-2020
QUESTIONS
Eng ineer ing
Mathematics
(TOTAL QUESTIONS : 23)
STREAM : EC | EE | IN
Marks Distribution Branch Wise (EC | EE | IN)
EC = 04 Questions (1 Mark) + 04 Questions (2 Marks) = 08 Questions (12 Marks)
EE = 04 Questions (1 Mark) + 02 Questions (2 Marks) = 06 Questions (08 Marks)
IN = 04 Questions (1 Mark) + 05 Questions (2 Marks) = 09 Questions (14 Marks)
GATE Syllabus : EC (Electronics and Communication Engineering)
Engineering Mathematics
Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and
eigen vectors, rank, solution of linear equations – existence and uniqueness.
Calculus: Mean value theorems, theorems of integral calculus, evaluation of definite and improper
integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals,
Taylor series.
Differential Equations: First order equations (linear and nonlinear), higher order linear differential equations,
Cauchy's and Euler's equations, methods of solution using variation of parameters, complementary function
and particular integral, partial differential equations, variable separable method,initial and boundary value
problems.
Vector Analysis: Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss's,
Green's and Stoke's theorems.
Complex Analysis: Analytic functions, Cauchy's integral theorem, Cauchy's integral formula; Taylor's and
Laurent's series, residue theorem.
Numerical Methods: Solution of nonlinear equations, single and multi-step methods for differential
equations, convergence criteria.
Probability and Statistics: Mean, median, mode and standard deviation; combinatorial probability,
probability distribution functions - binomial, Poisson, exponential and normal; Joint and
conditionalprobability; Correlation and regression analysis.
, GATE Syllabus : EE (Electrical Engineering)
Engineering Mathematics
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigenvalues, Eigenvectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals,
Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series, Vector identities, Directional
derivatives, Line integral, Surface integral, Volume integral, Stokes's theorem, Gauss's theorem, Green's
theorem.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations
with constant coefficients, Method of variation of parameters, Cauchy's equation, Euler's equation, Initial
and boundary value problems, Partial Differential Equations, Method of separation of variables.
Complex variables: Analytic functions, Cauchy's integral theorem, Cauchy's integral formula, Taylor series,
Laurent series, Residue theorem, Solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, Median, Mode, Standard
Deviation, Random variables, Discrete and Continuous distributions, Poisson distribution, Normal
distribution, Binomial distribution, Correlation analysis, Regression analysis.
Numerical Methods: Solutions of nonlinear algebraic equations, Single and Multi-step methods for
differential equations.
Transform Theory: Fourier Transform, Laplace Transform, z-Transform.
Join INDIA's Best Doubt & Discussion Group Dedicated for
Note :
Engineering Mathematics subject only.
Telegram Group
https://t.me/Engg_Mathematics
