GATE(EE)-2019 Preparation

1.  Matrix Algebra  1. MATRIX  A matrix is a rectangular array of numbers. The numbers may be real or complex. It may be represented as A matrix with m rows and n columns is called as m × n matrix. The numbers a11, a12, . . ., a1n are called the elements of the matrix. In the matrix, the horizontal lines are called rows or row vectors and the vertical lines are called columns or column vectors. The number aij indicates the element present in the ith row and jth column. 2. TYPES OF MATRICES  A matrix A = [aij ]m×n is said to be a (i) Rectangular matrix if m 6= n (ii) Square matrix if m = n (iii) Row matrix if m = 1 (iv) Column matrix if n = 1 (v) Null or zero matrix if aij = 0, ∀ i and j (vi) Diagonal matrix if m = n and aij = 0, ∀ i 6= j (vii) Scalar matrix if m = n and aij = 0, ∀ i 6= j and aii = λ(scalar) ∀ i (viii) Unit or Identity matrix if m = n and aij = 0, ∀ i 6= j and aii = 1 ∀ i (ix) Upper triangular matrix if m = n and aij = 0, ∀...

Section 1: 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 ...

The GATE exam is not very easy to crack and requires a smart study plan, focus and grit to score well. Practical and in-depth knowledge of concepts and theories is very essential to fetch high marks. The GATE examination has multiple choice and numerical type of questions, hence it requires lot of practice to score high marks. Previous year question papers can help a lot. A thorough Practice can help to analyze weak areas and you can concentrate on revising them. Also, time your speed of solving the papers to get accustomed to attempting within the allotted time. Concentrate on both theory as well as numerical problems. The topics that carry more weightage must be prepared thoroughly to get you a high score. Keep a list of important definitions, derivations, equations, theorems of every subject as a ready with you You can also study in groups, especially technical topics since that will help you learn faster. It will also help you find new skills and techniques of learnin...

GATE Exam Pattern Section Question No No. of Questions Marks Per Question Total Marks General Aptitude 1 to 5 5 1 5 Technical 1 to 25 25 1 25 Engineering 26 to 55 30 2 60 Total Question: 65 Total Marks: 100 Total Duration: 3hrs Technical Section:70 Marks General Aptitude:15 Marks Engineering Mathematics:15 Marks 25 marks to 40 marks will allotted to Numeric Answer Type Questions Multiple Choice Questions (MCQ) These questions are objective in nature, and each question will have choice of four answers, out of which the candidate has to mark the correct answer. Each question carries 1 or 2 marks questions in all the sections. Numerical Answer Question There will be no choices available for these types of questions. A Numeric Answer question carries 1 or 2 marks questions in all sections. The answer for these questions is a real number, to be entered by using mouse and virtual keypad displayed on the monitor. NO negative marking for the...

GATE Eligibility   Bachelor's degree holders in Engineering/Technology/ Architecture (4 years after 10+2) and those who are in the final year of such programmes.  Bachelor's degree holders in Engineering/Technology/Architecture (Post-B.Sc./Post-Diploma) and those who are in the final year of such programmes.  Master's degree holders in any branch of Science/Mathematics/ Statistics/Computer Applications or equivalent and those who are in the final year of such programmes.  Candidates in the second or higher year of the Four-year Integrated Master's degree programme (Post-B.Sc.) in Engineering/Technology.  Candidates in the fourth or higher year of Five-year Integrated Master's degree programme or Dual Degree programme in Engineering/Technology.  Candidates with qualifications obtained through examinations conducted by professional societies recognized by UPSC/ AICTE (e.g. AMIE by Institute of Engineers (India); AMICE by Ins...