Complex Variables

By : Mohd. Irshad

Updated : Feb 17, 2021, 8:37

Complex variables are an integral part of many examinations. GATE is one of the examinations that lays stress on the complex variables questions. Complex variables GATE EE questions are designed to test your math knowledge and application. You will find that understanding the concept is done better by practising as many complex variables GATE EE questions as you can.

Complex variables online tests will present you with multiple answers. You will have to pick the answer after quickly solving the equation. Complex variables MCQs hold significant weightage in GATE, JEE, COMED-K, NTSE and other entrance exams, including CBSE and State Board examinations. Before attempting the examination, it is indispensable for aspirants to be well-versed with complete, complex variables syllabus for GATE.

Important Complex Variables Questions for GATE EE

Good complex variables GATE EE notes will break down the types of questions that you will be asked to solve along with a detailed explanation of how you can quickly apply the fundamentals to solve the online quizzes. The types of complex variables topics for GATE EE and complex variables for computer science include:

Topic

Explanation

Analytic Functions

Function f(z) is analytic in region R of the complex plane if f(z) f(z) is single-valued and has a derivative at each point of R

Cauchy-Riemann equations

Two equations for the partial derivatives of a and b, with both satisfied if the function f(z) has a complex derivative 

Cauchys Integral Theorem and Integral Formula

Cauchy's integral formula could be used to obtain an expression for the derivative of f (z) 

Taylor and Laurent Series

Laurent series is a representation of the function as a power series and includes terms of negative degree. Taylor series is an infinite sum at a single point in the function's derivatives. 

Tips to Solve Complex Variables Questions for GATE


Working with good complex variables notes for GATE EE is the best way to improve your accuracy and speed. Some tips you can keep in mind when solving complex variables quizzes are:

  1. Check the solution by satisfying each option in the given problem statement.
  2. Remember the formulae and understand the techniques used to solve the questions.
  3. Make a formula notebook; it is essential for last-moment revision.

Familiarise yourself with the complex variables study material for GATE EE. You must aim to solve many complex variables MCQ beforehand to ensure good speed.

Importance of Complex Variables in GATE EE Exam


The importance of complex variables depends on the examination you are attempting. The questions are part of the math section.

  • Complex variables questions are frequently asked in competitive entrance exams.
  • Preparing for complex variables helps in the preparation of other math topics.
  • Complex variables questions count for 12 of the 145 questions in the math section of the GATE examination.
  • Complex variables are applied in many mathematics branches like algebraic geometry, number theory, analytic combinatorics, applied mathematics and even in physics.

Most Recommended Books for Complex Variables for GATE

You can choose from a plethora of complex variables books and practice books to refer to when preparing for competitive exams. Complex variables notes for EE are valuable for anyone looking to ace the GATE examination. Here is a list of recommended books based on the complex variables GATE syllabus.

Book

Author/Publisher

Engineering Mathematics Formulas & Shortcut Handbook

Gradeup

GATE Engineering Mathematics

Made Easy Publications

GATE Engineering for all streams

Arihant Publications

Advanced Engineering Mathematics

Erwin Kreyszig

Higher Engineering Mathematics

B. S. Grewal

Why Prepare for Complex Variables from BYJU'S Exam Prep?

BYJU'S Exam Prep provides quizzes, books, mock tests, and more preparatory materials like complex variables MCQ pdf to aspirants who want to improve their skills in the math section of competitive examinations. BYJU'S Exam Preps mock complex variables online tests are based on the actual exams structure, allowing students to practice for the tests. The mentors at BYJU'S Exam Prep are proactive and are always available to answer any queries and clear all doubts by the aspirant. The BYJU'S Exam Prep community allows aspirants to interact with each other and discuss questions, concepts, deadlines, and the latest exam patterns. BYJU'S Exam Preps streamlined approach gives students the ability to learn and monitor their performance with complex variables.

Frequently Asked Questions 

Q. What are complex variables?

A complex number is expressed in the form a + bi, when a and b are real numbers, and i is an imaginary unit, where i2 = −1. Complex variables investigate the functions of these complex numbers

Q. Are complex variables questions hard to solve?

Complex variables have a reputation for being fairly challenging to solve. However, this is not true. You can solve most complex variables by practising with the appropriate study materials

Q. What are the applications of complex variables?

Complex variables are used in algebraic geometry, analytic combinatorics, number theory, hydrodynamics, thermodynamics, applied mathematics, and quantum mechanics

Q. Which career fields utilise the knowledge of complex variables?

Complex variables are used in a variety of careers in different fields. These include electrical engineers, quantum physicists, economists, and sales analyst

Q. What is the GATE exam?

Graduate Aptitude Test in Engineering (GATE) is a country-level examination conducted by IISc in association with several IITs. Students who want to pursue M. Tech or MS at IISc, IITs, NITs or any other university should appear in this exam.