Topic-wise Strategy and Tips to Prepare Engineering Mathematics for GATE 2022 Exam

GATE (Graduate Aptitude Test in Engineering) is one of India's most prestigious entrance exams, providing applicants with numerous options to advance their careers. As of 2022, there are 29 disciplines or subjects to choose from, and candidates can pursue any of them based on their interests and passions.

The majority of students want to crack the GATE exam because it will help them advance in their careers while also ensuring a prosperous and secure future. If you intend to take the GATE exam, you should familiarise yourself with important exam details.

Engineering mathematics is extremely crucial for the GATE exam, as it accounts for roughly 15 percent of the total score. It will be simple for you to score well in GATE if you can prepare in the following manner. This article includes a chapter-by-chapter extensive study of the Engineering Mathematics subject for the GATE Exam, as well as essential questions and answers about Engineering Mathematics preparation. 

On that note, let’s break down each topic into important sub-topic with important tips that will help you ace the engineering mathematics section in the upcoming GATE exam.

Linear Algebra

Candidates should focus on Basics of Matrices & Determinants, Rank of a Matrix, Linear Systems of Equations, Eigen Values & Eigen Vectors during their Linear Algebra preparation. Eigenvalue problems and Matrix Algebra should be given extra attention since questions on either of these topics can be expected.

Calculus

Differential, Integral, and Vector Calculus are the three categories of calculus. It's best to concentrate on Maxima and Minima in single variable calculus if you want to do well in this area. Additionally, candidates should thoroughly learn vector calculus, which covers Gradient, Divergence, and Curl, as well as Vector Integral Theorems (Green's, Gauss's, and Stokes' Theorems).

Differential Equations

While studying Differential Equations, it is essential to learn about First Order Differential Equations (Variable Separable DE, Homogeneous DE, Exact DE, Linear DE), Higher-Order Linear Differential Equations with Constant Coefficients, Partial Differential Equations, Bernoulli's Equation, and the Euler Differential Equation are all examples of parameter variation methods.

Complex Analysis

It is the smallest of the Engineering Mathematics courses, with the only relevant concepts being Cauchy-Riemann Equations for Analytic Functions, greatest integer function and the Residue Method of Integration; the rest of the topics are not required for GATE.

Numerical Methods

In this part, you should concentrate on two key points. The first involves solving equations using methods such as Newton-Raphson and the Bisection Method, while the second involves using methods such as the Trapezoidal Rule and Simpson's Rule to perform numerical integration. As a result, it's critical to memorise all of the formulas in these sections.

Probability and Statistics

Random variables, Discrete and continuous distributions: Normal, Poisson, and Binomial distributions, Sampling theorems, Conditional probability, Measure of Central Tendency and Standard deviation, statistical power analysis, and sample size estimation are all examples of statistical power analysis.

Lines of Regression and Correlation analysis are some topics that shouldn’t be missed at any cost while covering the Probability and Statistics section. 

Transform Theory

This chapter, which comprises Laplace, Fourier, and Z-Transform, is only available in the GATE curriculum for Electrical & Electronics Engineering (EEE) and Electronics & Communication Engineering (ECE). Signals and Systems books by Oppenheim and Wilsky can help them prepare better.

Discrete Mathematics

Finding tautologies, equivalences of given propositional statements, finding the number of edges, vertices, or components for a given connected or disconnected graph, isomorphism, Euler circuit, and Simple properties of various graphs such as a complete graph, bipartite graph, cycle graph, and line graph are just a few discrete mathematics topics from which questions can be asked in the exam.

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