Sep 3, 2021

Linear Algebra

Calculus

Differential Equations

Probability and Statistics

Numerical Methods

A detailed analysis of the Engineering Mathematics syllabus for GATE 2022 is listed below:

During Linear Algebra preparation, candidates should focus on Basics of Matrices & Determinants, Rank of a Matrix, Linear Systems of Equations, Eigen Values & Eigen Vectors. Extra focus should be given to Eigenvalue problems and the Matrix Algebra as one can anticipate questions from either of these two topics.

Calculus can be divided into three categories: Differential, Integral, and Vector Calculus. To excel in this section, it is recommended to focus more on Maxima and Minima in single variable calculus. Also, candidates should study vector calculus properly as it covers Gradient, Divergence, and Curl and Vector Integral Theorems (Green’s, Gauss’s, and Stokes Theorem).

Topics such as First Order Differential Equations (Variable Separable DE, Homogeneous DE, Exact DE, Linear DE), Higher-Order Linear Differential Equations with Constant Coefficients, Methods of Parameter Variations, Partial Differential Equations, Bernoulli’s Equation and Euler Differential Equation are paramount while studying Differential Equations.

Sampling theorems, Conditional probability, Mean, Median, Mode and Standard deviation, Random variables, Discrete and continuous distributions: Normal, Poisson, and Binomial distributions. Tests of Significance, Statistical power analysis, and Sample size estimation. Linear Regression and Correlation analysis are some topics that shouldn’t be missed at any cost while covering the Probability and Statistics section.

You need to focus on two critical areas in this section. First, equation solving by methods like Newton-Raphson and Bisection Method, and second, Numerical Integration technique by methods like Trapezoidal Rule and Simpson’s rule. Hence it is imperative to learn all the formulas related to these sections by heart.

**Special Topics: **Fourier Series, Laplace Transforms, Numerical methods for linear and nonlinear algebraic equations, Numerical integration and differentiation. Complex analysis. Probability and statistics.

Also read: **How To Prepare For GATE General Aptitude?**** **

Now when you are aware of the Engineering Mathematics syllabus and its important topics, it’s time to master the subject. A well-structured strategy and its proper execution can help you get ahead of the game while preparing for GATE.

Follow the tips listed below to cover the entire syllabus efficiently as well as effectively and to score well in Engineering Mathematics:

**Tip #1- **Like any other subject, Mathematics also requires development from the root level. Hence, devote one hour daily to practice Maths questions.

**Tip #2- **While studying, do not try to cram the formulas. Mugging won’t help you; instead, smart work will. Make a list of all the important formulas and understand the basic concepts/techniques required for solving Maths questions.

**Tip #3- **Solve Previous Year Questions. While solving them, carefully analyze the topics/areas from which questions are frequently asked. Once you are aware of such areas, mastering them should be your priority.

**Tip #4- **Practice solving questions as much as you can during preparation. This is the only way to score good marks in Engineering Mathematics. You can refer to **PrepLadder GATE QBank** and solve a variety of questions for better preparation.

**Tip #5- **Attempt mock tests for self-analysis. It will help you to identify weaknesses and give a reality check of your preparation. More importantly, revise on a regular basis to ensure that you retain all the formulas for a longer period.

Follow the above-stated tips religiously to become a PRO in Engineering Mathematics and stand a chance to score full marks in this section.

Make your GATE exam preparation more convenient with **PrepLadder****. **It is an excellent source of quality and reliable learning material for GATE aspirants and has everything you need to ace the GATE on one single platform.

Keep following our articles and our **Telegram Channel** to apprise yourself with the latest information about the exam.

All the best for your exam.

Own Your Dream

Raminder is a Content Manager at PrepLadder. He has worked in several aspects of the education industry throughout his career and has assisted numerous candidates in cracking major competitive exams.