**GATE Engineering Mathematics Syllabus:** GATE Syllabus is based on the different stream according to the qualifying examination. IIT Madras has define GATE syllabus in this year according to the 23 papers. These will be conducted for admissions to the M.Tech programmes which is offered by the IITs and IISC. The GATE syllabus 2019 will be same according to the previous year. The national level engineering entrance exam will be conducted for post graduation courses on February 2rd & 3th and February 9th & 10th, 2019. Candidates need to review GATE syllabus 2019 for the stream that they will be appearing for.The syllabus defines that what are the topics their subtopics they need to prepares for the appearing examination.Candidates can download **GATE syllabus 2019** from below given table where the syllabus are given for every stream. The syllabus is the very important part of the examination because it plays an important role in the examination.

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**GATE Engineering Mathematics Syllabus**

### ADMISSION OPEN 2019

Engineering Mathematics holds 15 percentage weightage in GATE Exam. some GATE Paper Code are **AE, AG, BT, CE, CH, CS, EC, EE, IN, ME, MN, MT, PE, PI, TF, and XE.**

**Engineering Mathematics Section test the Candidates skill in Mathematics.**

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Below we discuss the GATE Engineering Mathematics Syllabus, **Check Below:**

GATE Paper Code | GATE Engineering Mathematics Syllabus |
---|---|

Aerospace Engineering (AE) | Linear Algebra, Calculus, Differential Equations |

Agricultural Engineering (AG) | Linear Algebra, Calculus, Differential Equations, Vector Calculus, Probability, and Statistics, Numerical Methods |

Biotechnology (BT) | Linear Algebra, Calculus, Differential Equations, Probability and Statistics, Numerical Methods |

Civil Engineering (CE) | Linear Algebra, Calculus, Ordinary Differential Equations (ODE), Partial Differential Equations (PDE), Probability and Statistics, Numerical Methods |

Chemical Engineering (CH) | Linear Algebra, Calculus, Differential Equations, Probability and Statistics, Numerical Methods, Complex Variables |

Computer Science and Information Technology (CS) | Linear Algebra, Calculus, Probability, and Statistics, Discrete Mathematics |

Electronics and Communication (EC) | Linear Algebra, Calculus, Differential Equations, Probability and Statistics, Numerical Methods, Vector Analysis, Complex Analysis |

Electrical Engineering (EE) | Linear Algebra, Calculus, Differential Equations, Probability and Statistics, Numerical Methods, Complex Variables, Transform Theory |

Instrumentation Engineering (IN) | Linear Algebra, Calculus, Differential Equations, Probability and Statistics, Numerical Methods, Analysis of Complex Variables |

Mechanical Engineering (ME) | Linear Algebra, Calculus, Differential Equations, Probability and Statistics, Numerical Methods, Complex Variables |

Metallurgical Engineering (MT) | Linear Algebra, Calculus, Differential Equations, Vector Calculus, Probability and Statistics, Numerical Methods |

Mining Engineering (MN) | Linear Algebra, Calculus, Differential Equations, Vector Calculus, Probability and Statistics, Numerical Methods |

Petroleum Engineering (PE) | Linear Algebra, Calculus, Differential Equations, Probability and Statistics, Numerical Methods, Complex Variables |

Production and Industrial Engineering (PI) | |

Textile Engineering and Fiber Science (TF) | |

Engineering Sciences (XE) | Linear Algebra, Calculus, Ordinary Differential Equations (ODE), Partial Differential Equations, Probability and Statistics, Numerical Methods, Vector Calculus, Complex Variables |

### Click Here to Download GATE Engineering Mathematics Syllabus in PDF

### GATE Engineering Mathematics Syllabus – Linear Algebra

Algebra of matrices; Inverse and rank of a matrix; System of linear equations; Symmetric, skew-symmetric and orthogonal matrices; Determinants; Eigenvalues and eigen vectors, Diagonalisation of matrices; Cayley-Hamilton Theorem.

### GATE Engineering Mathematics Syllabus – 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.

### GATE Engineering Mathematics Syllabus – Vector Calculus

Gradient, divergence and curl; Line and surface integrals; Green’s theorem, Stokes theorem and Gauss divergence theorem (without proofs).

### GATE Engineering Mathematics Syllabus – Complex Variable

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.

### GATE Engineering Mathematics Syllabus – Ordinary Differential Equation

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.

### GATE Engineering Mathematics Syllabus – Partial Differential Equation

Classification of second order linear partial differential equations; Method of separation of variables; Laplace equation; Solutions of one dimensional heat and wave equations.

### GATE Engineering Mathematics Syllabus – Probability

Axioms of probability; Conditional probability; Bayes’ Theorem; Discrete and continuous random variables: Binomial, Poisson and normal distributions; Correlation and linear regression.

### GATE Engineering Mathematics Syllabus – 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 and 4th order Runge-Kutta method.

## Books for GATE Engineering Mathematics

GATE Engineering Mathematics Book Name | Buy Now |
---|---|

Engineering Mathematics for GATE & ESE (Prelims) 2019 – Theory & Previous Year Solved Questions |
Click Here |

GATE ESE 2019 Engineering Mathematics, ECE,EEE,INST,MECH,CE,PI, 25 Years of Previous GATE Questions with Solutions, Subject Wise & Chapter Wise |
Click Here |

Engineering Mathematics : ESE, GATE, PSUs 2019 | Click Here |

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