Hi,
This is the syllabus for Mathematics GATE

Section 1: Linear Algebra
Algebra of matrices; Inverse and rank of a matrix; System of linear equations; Symmetric,
skew-symmetric and orthogonal matrices; Determinants; Eigenvalues and eigenvectors;
Diagonalisation of matrices; Cayley-Hamilton Theorem.

Section 2: Calculus
Functions of single variable: Limit, continuity and differentiability; Mean value theorems;
Indeterminate forms and L'Hospital's rule; Maxima and minima; Taylor's theorem;
Fundamental theorem and mean value-theorems of integral calculus; Evaluation of
definite and improper integrals; Applications of definite integrals to evaluate areas and
volumes.
Functions of two variables: Limit, continuity and partial derivatives; Directional derivative;
Total derivative; Tangent plane and normal line; Maxima, minima and saddle points;
Method of Lagrange multipliers; Double and triple integrals, and their applications.
Sequence and series: Convergence of sequence and series; Tests for convergence;
Power series; Taylor's series; Fourier Series; Half range sine and cosine series.

Section 3: Vector Calculus
Gradient, divergence and curl; Line and surface integrals; Green's theorem, Stokes
theorem and Gauss divergence theorem (without proofs).

Section 4: Complex variables
Analytic functions; Cauchy-Riemann equations; Line integral, Cauchy's integral theorem
and integral formula (without proof); Taylor's series and Laurent series; Residue theorem
(without proof) and its applications.

Section 5: Ordinary Differential Equations
First order equations (linear and nonlinear); Higher order linear differential equations with
constant coefficients; Second order linear differential equations with variable
coefficients; Method of variation of parameters; Cauchy-Euler equation; Power series
solutions; Legendre polynomials, Bessel functions of the first kind and their properties.

Section 6: Partial Differential Equations
Classification of second order linear partial differential equations; Method of separation
of variables; Laplace equation; Solutions of one dimensional heat and wave equations.

Section 7: Probability and Statistics
Axioms of probability; Conditional probability; Bayes' Theorem; Discrete and continuous
random variables: Binomial, Poisson and normal distributions; Correlation and linear
regression.

Section 8: Numerical Methods
Solution of systems of linear equations using LU decomposition, Gauss elimination and
Gauss-Seidel methods; Lagrange and Newton's interpolations, Solution of polynomial and
transcendental equations by Newton-Raphson method; Numerical integration by
trapezoidal rule, Simpson's rule and Gaussian quadrature rule; Numerical solutions of first
order differential equations by Euler's method

Hi,

Well if you opt for biological sciences then obviously your question paper won't have mathematics questions because your syllabus would be different from the one going for enginnering major or other subjects. So check once agin to be sure.

I hope my answer helps.

All the best.

hi,

see the syllabus is totally different, like in engineering mathematics there is tran form theory part is included of laplace transform, Fourier transform, z transform.

but in mathematics syllabus, the syllabus has many more topics added in differential equation, topology, and in numerical analysis.

follow the below link to know about full syllabus,

careers360.com/qna?end_date=2019-09-16&loc_dest=header

Hi,

GATE 2020 Mathematics Syllabus. The syllabus of Mathematics subject in GATE 2020 consists of various topics. These topics are Calculus, Linear Algebra, Real Analysis, Ordinary Differential Equations, Algebra, Functional Analysis, Numerical Analysis, Partial Differential Equations, Topology, and Linear Programming.

Hope this helps.

Hello Mayank Kumawat

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