How to prepare for Engineering Maths for GATE exam 2023?

Check out the topic-wise strategy to prepare for engineering mathematics in GATE exam 2023 slated to be held in February next year. Engineering mathematics is one of the compulsory subjects in GATE with a high weightage.

Engineering Mathematics holds key relevance in the Graduate Aptitude Test in Engineering (GATE) 2023 as the weightage given to this subject has been consistent over the years. Every year the weightage of this subject ranges between 12 and 15 marks. Engineering Mathematics, a wide subject covered in over four to five semesters during college time, needs a strategic preparation plan. The key to prepare for this subject is to make short notes and keep them handy with you or have a Formula Sheet so that you can look up a concept whenever you need it.

Know how to Prepare for Engineering Mathematics in GATE exam 2023

Take a look at the topic-wise strategy to prepare for engineering mathematics in the GATE exam.

Linear Algebra

While preparing for Linear Algebra, the focus must be on Eigenvalue Problems and also Matrix Algebra as almost every time there will be a question from either of these two topics. One must also remember the properties of eigenvalues like the relation between eigenvalues of two matrices which are inverse of each other and other similar properties. No need to get involved in the basis vectors and span of basis vectors to form an n-dimensional space as those concepts are absolutely unnecessary for GATE.

Calculus

Calculus can be basically divided into three categories:

• Differential Calculus: It involves basic concepts of Limits, derivatives and application of derivatives such as Increasing, Decreasing functions and Maxima and Minima problems.
• Integral Calculus: It involves indefinite and definite integrals and the properties of definite integrals. Also, you need to be very well versed with the concepts of multiple integrals like Double and Triple integrals and also Line, Surface and Volume Integrals.
• Vector Calculus: It involves Gradient, Divergence and Curl and Vector Integral Theorems (Green’s, Gauss’s and Stokes Theorem) and there are lot many properties of each concept and you must remember all those to solve the problems faster like divergence of the curl is always zero, believe me, that these properties do come in handy in the exam.

Differential Equations

There are not many concepts in the differential equations as you can always check the solution by satisfying each option in the differential equation given in the problem statement but at the same time do remember some special differential equations like Bernoulli’s Equation and Euler Differential Equation.

Also, in the latest years questions based on the existence of solution and uniqueness theorem have been seen so they also need to be prepared.

Complex Functions

It is the smallest topic among all topics from Engineering Mathematics and the only important concepts are Cauchy-Riemann Equations for Analytic Functions and Residue Method of Integration and the rest of the topics are not necessary for GATE.

Probability and Statistics

The general problems involving Probability can be prepped up by practice and there is no need to study much about them but you can always remember Baye’s Theorem, more focus should be on Random Variables like Poisson’s Distribution and other distributions. Statistics is also very important and you must remember to mean, median and mode concepts as well as the coefficient of co-relation, so do make short notes for each of these concepts.

The pre-requisite for probability is Permutation and Combination which you need a basic idea about and not up to JEE level.

Numerical Methods

Two things are important in this section one is the equation solving by methods like Newton-Raphson and Bisection Method and the other is the Numerical Integration technique by methods like Trapezoidal Rule and Simpson’s rule so do mug up the formulas for each of these methods and make good use of Calculator like you can form equations in the form of the answer of the previous step so that recursion becomes faster and more accurate.

Transform Theory

This chapter is just included in the Electrical & Electronics Engineering (EEE) and Electronics & Communication Engineering (ECE) GATE curriculum and it includes Laplace, Fourier and Z-Transform. They can be better prepared from Signals and Systems books like Oppenheim and Wilsky.

So, basically, the key to tackling such a large subject is to narrow down the course content to the most relevant topics and cut out the unnecessary topics otherwise your workload will increase but not your performance.

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