# Best GATE Preparation Tips & Tricks for Engineering Mathematics

By Aditi Verma|Updated : September 7th, 2021

Engineering Mathematics is very important for the GATE exam as the weight-age of this subject is around 15 marks. If you can manage to prepare in the following way, it is easy for you to score well in GATE. This article covers important questions answers about Engineering Mathematics preparation and provides a chapter-wise detailed analysis on Engineering Mathematics subject for GATE Exam.

Engineering Mathematics is very important for the GATE exam as the weight-age of this subject is around 15 marks. If you can manage to prepare in the following way, it is easy for you to score well in GATE. This article covers important questions and answers about Engineering Mathematics preparation and provides a chapter-wise detailed analysis of Engineering Mathematics subject for GATE Exam.

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### Which book is good for GATE Preparation?

Answer: ”Higher Engineering Mathematics” By B. S. Grewal.

### How to read the book for GATE preparation?

• There is no reading in maths, only problem solving and practice. So practice all the related topics relevant to the GATE syllabus.
• Revise already studied (short)notes for every topic covering all important points and formulas while practising the problems.
• Practice the previous year GATE problems after every topic completion.

### How many days or months are required to complete the syllabus?

Answer: It may take a minimum of 1 month for beginners. But every aspirant could have studied engineering mathematics in their undergraduate courses, so it is easier to complete in less than 20 days with the preparation of 2 to 3 hours per day.

### How to practice remembering the concepts and formulas?

Answer: Do not waste your time reading many books. Follow the recommended book and practice a minimum of two times to remember the concepts and revise the formulas every week. Make flashcards and short notes and keep looking at them at intervals of time.

### Important tips to remember for preparation and revision

Only studying for preparation of the subject is not enough for the GATE Exam; practice previous year GATE Questions and attempt as many online practice tests to understand/ remember/ revise the concepts.

## Analysis and Expected Questions of Engineering Mathematics in GATE

The analysis discussed below consists of important topics and model questions. Important topics are not to be left at any cost during the preparation of the subject, while model questions contain detailed descriptions of the pattern of questions asked in the GATE exam.

### Linear Algebra

(for All GATE streams)

• Important topics
• Eigenvalues and vectors
• Finding rank and determinant of matrices
• Systems of Linear Equations
• Model questions
• Find the Matrix for the given Eigenvalues and Eigenvectors.
• Properties of Eigenvalues for symmetrical matrices.
• Find the rank or determinant for the given matrix.
• Properties of Matrices based on determinants, rank, etc.
• Find the solution for the given system of linear equations

### Calculus

(for all streams, some of the below topics are not there in all streams)

• Important topics
• Limit
• Maxima and Minima
• Gradient, Divergence, and Curl (Vector Analysis in GATE EC)
• Model questions
• Find the maximum and minimum values for the given functions.
• Simple questions on limit and continuity
• Find the Divergence of the Given vector field.

### Differential Equations

(for All GATE streams)

• Important topics
• First-order equations (linear and nonlinear)
• Cauchy's and Euler's equations
• Model questions
• Find the solution of given differential equation

### Complex Analysis

(except GATE CS)

• Important topics
• Analytic Functions
• Cauchy-Riemann equations
• Taylor’s Series
• Model questions
• Find the expression for one of u(x,y) and v(x,y), for the given analytical function f(z) = u(x, y) + i v(x, y) and also provided value of i with other expression.
• Integration of given complex function in either counterclockwise or anticlockwise direction.

### Numerical Methods

(except GATE CS)

• Important topics
• Newton-Raphson method
• Integration by trapezoidal and Simpson’s rules
• Model questions
• Find the iteration value of the equation using the Newton-Raphson method.
• Find the value of the given integral using Trapezoidal and Simpson’s rules.

### Probability and Statistics

(for All GATE streams)

• Important topics
• Joint and Conditional Probability
• Uniform, Normal, Exponential Distributions
• Model questions
• Finding the probability for coin-based problems, dice-based problems, etc.
• Finding the probability using distributions

### Transform Theory

(for GATE EE and ME)

• Important topics:
• Laplace transform
• Model questions:
• Find the Laplace Transform and Inverse Laplace transform of the given function.

### Discrete Mathematics

(only for GATE CS)

• Important topics
• Mathematical Logic (Propositions and Predicate logic)
• Relations and Functions
• Graph Connectivity and colouring
• Model questions
• Find the first-order logic sentence for the given English statement and with predicates.
• Finding tautology, satisfiability, equivalences of given propositional statements.
• Find the given relation is reflexive, symmetric, transitive, equivalence, etc.
• Finding the number of edges, vertices, or components for the given connected or disconnected graph.
• Checking isomorphism, Euler circuit, Hamiltonian cycle for given graphs.
• Simple properties of various graphs such as a complete graph, bipartite graph, regular graph, cycle graph and line graph.

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## FAQs

• The standard book recommended is B. S. Grewal. You can prefer any other book according to your preference.

• Solve previous year GATE questions. They are the perfect practise sheet.

• Make flashcards and do lots and lots of practice. The more questions you will practice, the less you will forget.

• Do not skip any topic because all topics have equal weightage.

### ESE & GATE ME

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