Engineering Mathematics Formulas For Gate Pdf

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Graduate Aptitude Test in Engineering or GATE is one of the most crucial national exams. It is organized jointly by the Indian Institute of Science, Bengaluru and seven different Indian Institutes of Technology. It is an annual examination. GATE draws lakhs of aspirants every year. The exam is a screening test or elimination round used by the institutes. The aspirants who seek admission to postgraduate/ doctoral courses in reputed institutions throughout the country appear in GATE. Also, aspirants who want to apply for PSU Jobs and CSIR fellowships apply for GATE. Today we will focus on Engineering Mathematics for GATE 2021.

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Table of Contents

GATE has a defined syllabus for every stream. Engineering Mathematics for GATE 2021 is one of the subjects compulsory for all engineering streams. It carries about 12% – 18% of the total marks. We have observed this trend for the last six to seven years.

Importance of Engineering Mathematics

Mathematics has always been a crucial subject ever since our school times. While some students hate this subject, there are others who have loved it since they first started learning it. Some people consider mathematics a curse whereas some consider it a blessing for extra marks.

Coming to the Engineering Mathematics as a subject in Graduate Aptitude Test in Engineering, it is entirely different. Unlike high school mathematics, it is much more advanced. It includes more topics and plays a significant role in cracking GATE with a high score. Many people who are not so good with numbers wonder how to prepare for this subject while doing their GATE Preparation. Again, it is a well-known fact that Engineering Mathematics for GATE is an area where one can score high easily. Of course one has to prepare it well.

Still wondering how to crack GATE by scoring well in Engineering Maths? How to prepare Engineering Mathematics for GATE without any coaching? Whether you should opt for GATE Preparation Online or Offline? Searching for preparation tips for Engineering Mathematics for GATE?

Then, one thing is sure, that is, you have just found the key to the chest containing all the answers. We, through this blog, will answer all your question and guide you in preparing Engineering Mathematics for GATE 2021 Exam.

Important Topics and Subtopics- Analyzing The Subject in Details

Irrespective of the stream the candidate has in his/ her graduation, Engineering Mathematics will be there in all of them. It will account for the same percentage of marks in every stream. Thus, ignoring Engineering Mathematics for GATE will be a big mistake. Ignoring this subject will cost you valuable GATE marks.

The topics covered under Engineering Mathematics for GATE 2021 are nearly the same for every stream of engineering. There are minute differences in topics, but the major syllabus remains the same for all.

We have created a list of the topics covered under Engineering Mathematics for GATE 2021, for each stream.

Engineering Mathematics for GATE 2021 Syllabus- for All the Applicable Streams

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Linear Algebra (For all streams): In linear algebra, the aspirants should focus on rank & determinant of matrices, Eigenvalues & vectors, and systems of linear equations. Topics such as basis vectors and span of basis vectors to form an n-dimensional space are not be covered.

Calculus (For all streams): Calculus is essential. All the aspirants should focus on maxima & minima in single variable calculus. Vector calculus which plays a significant role covers Gradient, Divergence, Curl as well as Vector Integral Theorems. Aspirants are advised to practice limits as well.

Differential Equations (For all streams): Finding the solution of differential equations are extremely important. Focusing on higher-order differential equations is a must along with first-order equations. Bernoulli’s Equation and Euler Differential Equation should also be paid attention to.

Probability and statistics (For all streams): Bayes’ Theorem will cover most of the questions. Question from Random Variables like Poisson’s Distribution, statistics, mean, median and mode as well as the coefficient of correlation has a high probability of appearing in GATE Exam.

Complex Analysis (Excluding CS): Cauchy-Riemann Equations, Residue Method of Integration and Taylor series have to be practiced well. It looks small, but each of the subtopics is extremely large by themselves.

Numerical Methods (Excluding CS): Making a note of important formulae for Trapezoidal Rule and Simpson’s Rule is a must. Aspirants must practice as many questions as possible on solving equations using the Newton-Raphson method, Bisection method, and numerical integration techniques.

Transform Theory (For EE and ME ONLY): Laplace and inverse Laplace transforms are the topics to be practiced well.

Discrete Mathematics (For CS ONLY): Graph connectivity and coloring, Relations and Functions and Mathematical Logic (Propositions, and Predicate logic). Discrete Mathematics – tautology, satisfiability, equivalences of given propositional statements. Finding the number of edges, vertices, or components for the given connected or disconnected graph, Euler circuit, checking isomorphism, Hamiltonian cycle for given graphs as well as simple properties of various graphs such as a complete graph, bipartite graph, regular graph, cycle graph, and line graph.

STRATEGIES FOR PREPARING ENGINEERING MATHEMATICS FOR GATE 2021 SUCCESSFULLY

Engineering Mathematics Formulas For Gate Pdf

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Now that the aspirants know about the topics and important subtopics, they are quite ahead of many others. Yet, this is not enough. The aspirants must have a proper strategic plan to be able to cover the entire syllabus efficiently as well as effectively. We, therefore, bring some strategies into the light for you to be able to prepare yourself extremely well for GATE.

  • Both the basic and the standard books can be referred to while preparing for GATE exam. You can refer MADE EASY Mathematics Book which is an all in one book where you will find concepts supplemented with previous solved GATE questions of all branches. This makes it a complete book for practice.
  • Do not try to memorize maths by mugging up the entire textbooks/standard books. You’ll only be wasting time. Remember the formulae and understand the techniques used to solve the questions. Making a separate note of the advanced techniques will surely help you.
  • Prioritize your study. Practice previous year numerical after you complete each topic.
  • Revise regularly. Revise the formulae every day. Solve a few questions from the topics and subtopics included in the previous day’s study schedule.
  • Aspirants should take mock tests. You should join a good Online Test Series which will help you in practicing the questions in a simulated environment.
  • Make a formula notebook. It is essential for last moment revision. You can also note down important techniques along with the formulae.

Extra Tips

It is essential to keep on revising the subjects while preparing other subjects as well.

Engineering Mathematics for GATE 2021 is very challenging. It is, thus, very important for the aspirants to solve not only the basic numerical but also advanced numerical. But, before solving those make sure that you have solved all the different types of basic numerical.

Take enough rest between subtopics. Overloading your brain will only make your study unproductive. Thus this will only waste your time and energy. Give enough time to regain energy and get prepared for the next.

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Try to analyze the past Question Papers of GATE and establish a trend by yourself. This will aid you to prepare in a more directed manner.

Make sure that you manage your time well during the solving process. Taking too much time for solving is bad. Taking too less time can also be dangerous as mistakes can be easily made in a hurry. Ensure that the time you take for solving each numerical is optimum. This will help you in increasing the efficiency in the real examination.

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Clear your doubts when they arise. Do not postpone your doubts for some later time. Ensure that the source of doubt clearing is trusted. If your doubt does not get cleared in one attempt, then take another attempt. Do not proceed to other subtopics before completing the one you are doing presently.

Conclusion

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Finally, do not PANIC under any circumstance. Panic will only deteriorate your ability to solve and will only make your head go blank. Take a couple of deep breaths. This will calm you down. Most importantly drink some water. Staying hydrated helps reduce panic.

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We hope that this article was extremely useful and that you found it enlightening. It is our sincere hope that, now, you will be able to prepare Engineering Mathematics for GATE 2021 efficiently and effectively. We strongly believe that this guide will, surely, help you score well in this section in GATE. We, also, hope that we have been able to clear all your doubts about Engineering Mathematics preparation for GATE Exam.

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MADE EASY WISHES ALL THE ASPIRANTS THE BEST OF LUCK FOR THE UPCOMING GATE EXAMINATION!