Gate 2018 Mathematics Syllabus Pdf

How to prepare Engineering Mathematics for GATE 2022?

By Abhinav Gupta | Updated : September 3rd, 2021

Graduate Aptitude Test in Engineering (GATE) is one of the important exam conducted annually for admissions to post graduate courses in eminent institutions throughout the country. According to the defined syllabus of GATE exam, Engineering Mathematics is one of the subjects which bear consistent 15% of total weightage from the last five to six years.

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Though mathematics has been a formidable subject from school time when it comes to point of scoring it has been a boon for smart and hardworking students. When we script the syllabus of Engineering Mathematics it looks vast and conformable to take a large amount of time to complete. But if a candidate prepares it with proper strategy subject can be completed in a few days and a good number of the score can be pulled out from it. This article focuses on aspects of how to prepare for the Engineering Mathematics for the GATE Exam in a short interval of time to make that 15% countable in a final score.

Subject Analysis and Important Topics for Each Chapter

Whether the candidate has completed his graduation in Electrical, Mechanical, Civil, or any stream, Engineering Mathematics covers the same 15% weightage in every specialization. Therefore, for a candidate aiming to crack the GATE exam with a good score, Engineering Mathematics cannot be ignored. Talking about the syllabus of Engineering mathematics, it is almost the same for each specialization except for some topics like transform theory in Electrical and Electronics and Discrete Mathematics in Computer Science Engineering. Maintaining the universality of the article, each chapter with preferred specialization has been described which also summarizes the important topics to cover for the GATE exam.

Linear Algebra (For all streams): While preparing for linear algebra candidate should have focused on Eigenvalues & vectors, rank & determinant of matrices, and systems of linear equations. Do not cover topics like basis vectors and span of basis vectors to form an n-dimensional space.
Calculus (For all streams): From calculus, the candidate should focus on maxima and minima in single variable calculus. Vector calculus is a very important topic that covers Gradient, Divergence and Curls, and Vector Integral Theorems. Sometimes questions also arise from Limits.
Differential Equations (For all streams): the General question like finding the solution of the differential equation is asked in the GATE exam. Along with first-order equations, Bernoulli's Equation and Euler Differential Equation should also be covered.
Probability and statistics (For all streams): The candidate should be practising more questions on Bayes' Theorem, Random Variables like Poisson's Distribution, Statistics, mean, median, and mode concepts as well as the coefficient of correlation. These topics would be sufficient to have a good hand on probabilities and statistics.
Complex Analysis (Not for GATE CS): It is the smallest topic to cover and the candidate should focus only on Cauchy-Riemann Equations, Residue Method of Integration, and Taylor series.
Numerical Methods (Not for GATE CS): While practising this topic candidate should pay attention to important formulae for Trapezoidal Rule and Simpson's Rule and practice as many questions on equation solving using Newton-Raphson and Bisection method and numerical integration techniques.
Transform Theory (For GATE EE and ME): Covering topics like Laplace and inverse Laplace transforms would be enough for a candidate from this chapter.
Discrete Mathematics (Only for GATE CS): Being a CS student candidate should be covering topics like Graph connectivity and colouring, Mathematical Logic (Propositions, and Predicate logic), Relations, and Functions. Question pattern on discrete mathematics would be like finding tautology, satisfiability, equivalences of given propositional statements, finding the number of edges, vertices, or components for the given connected or disconnected graph, checking isomorphism, Euler circuit, Hamiltonian cycle for given graphs, and Simple properties of various graphs such as a complete graph, bipartite graph, regular graph, cycle graph, and line graph.

Concise Strategy to Cover Syllabus

Having information about the important topics to cover and the pattern of questions to be asked it is important for a candidate to acquire a proper strategy to cover the syllabus in a short span of time by just following these simple tricks:

Do not mug up Maths by going through whole textbooks/standard books, it is waste of time and moreover, if you try to learn, you won't finish learning it even after the GATE exam is over.
However, the Candidate can refer tostandard books such as Higher Engineering Mathematics by B.S. Grewal and advanced engineering mathematics by Erwin kreyszig for noting down important formulae and shortcuts.
Study the list of topics on a priority basis and practice the previous year's problems after completion of each topic. This process would give you familiarity with the level and pattern of questions.
While preparing for Engineering Mathematics, the candidate should revise on a regular basis to link up all topics in mind while giving a revision whack at the time of completion of the syllabus.
Candidates can opt for online mock tests after completing the syllabus as it will be advantageous in improving the weaker areas and put a final finishing in your preparation prior to the exam.
Maintaining a habit of making notes of shortcuts and formulae would be very handy in Engineering mathematics.

Briefing the article in few words it is understood that to tackle the vast syllabus of Engineering mathematics, candidates should narrow down the syllabus and cover the most important topics, and finally practice as much as possible. As it is also firmly said in words,

"You don't learn to walk by following rules. You learn by doing, and by falling over"

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