One of the most important exams for postgraduate admissions in top universities across the country is the Graduate Aptitude Test in Engineering (GATE). According to the GATE exam’s defined syllabus, Engineering Mathematics is one of the fields that has regularly accounted for 15% of total weightage in the GATE exam for the last five to six years.

Despite the fact that mathematics has always been a tough subject to score well in, it has proven to be beneficial to intelligent and motivated pupils. The Engineering Mathematics syllabus appears to be huge and conformable to taking a long time to complete when we script it. However, if a candidate prepares well, the topic can be finished in a matter of days and a good mark can be earned.

On that note, let’s talk about how to study Engineering Mathematics well in a s short time to maximise that 15%.

## Topic-wise Preparation Strategy for Engineering Mathematics

### Linear Algebra

In Linear Algebra, aspirants should concentrate on matrices’ ranks and determinants, Eigenvalues and vectors, and pair of linear equations. The topics of the basis vector should not be prepared.

### Calculus

This is a crucial topic in the GATE exam’s engineering mathematics section. In single variable calculus, all candidates should concentrate on maxima and minima. Gradient, Divergence, Curl, and the Vector Integral Theorem are all important concepts in Vector Calculus. Limits should also be practised by aspirants.

### Complex Analysis

Taylor Series, Cauchy-Riemann Equation, and Residue Method of Integration must all be well-practiced. It appears little, but each sub-topic is enormous in and of itself.

### Differential Equations

The importance of finding solutions to differential equations cannot be overstated. Along with first-order equations, a focus on higher-order differential equations is essential. It’s also worth remembering Bernoulli’s Theorem and Euler Differential Equations.

### 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 posed.

### Statistics and Probability

Most of the questions will be solved by Bayes’ theorem. Random variable questions such as Poisson’s Distribution, Measures of Central Tendency (Mean, Median, and Mode), and the Coefficient of Correlation are likely to occur in the GATE exam.

### Numerical Methods

Important equations for the Trapezoidal Rule and Simpson’s Rule should be written down. Aspirants should answer as many questions as they can about solving equations using the Newton-Raphson method, the Bisection method, and numerical integration techniques.

### Transform Theory

The topics of laplace and inverse laplace transformations should be well-practiced.

## General Strategy and Tips to Cover Syllabus

After having a thorough knowledge of the key topics to learn and the types of questions that will be asked, a candidate should develop a strong plan for studying the syllabus in a short period of time by simply following these simple suggestions and tactics.

- Do not attempt to memorise steps, formulas, or tricks unless you have a firm grasp of the basics.
- The Candidate can use common publications like Higher Engineering Mathematics by B.S. Grewal to jot down important equations, formulas, and tricks.
- After you’ve gone over the list of topics in order of priority, solve the previous year’s papers. This will familiarise you with the degree of difficulty and question pattern.

- While studying Engineering Mathematics, the student should revise on a frequent basis to ensure that all topics are retained, and give the course a full review at the end.
- Candidates can take online mock tests after completing the course to assist them strengthen their weak areas and put the final touches on their preparation before the exam.