Civil Engineering (CE) Exam > Civil Engineering (CE) Notes > Topic wise GATE Past Year Papers for Civil Engineering > Fourier Series and Transform
Fourier Series and Transform | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE) PDF Download
Question 1: The solution at x = 1, t = 1 of the partial differential equation 
subject to initial conditions of u(0) 
______.
(a) 1
(b) 2
(c) 4
(d) 6
[2018 : 2 Marks, Set-I]
Answer: (d)
Solution:
D’Alembert’s formula,
u(x, t) = 3x + 3t
At x = 1, t = 1
u(x, f) = 6
Question 2: The Fourier series of the function,
f(x) = 0, (-π < x < 0 )
f(x) = π - x, (0 < x < π) in the interval [- π, π] is
The convergence of the above Fourier series at x = 0 gives
[2016 : 1 Mark, Set-II]
Answer: (c)
Solution: The function is f(x) = 0,
-p < x < 0
= p - x, 0 < x < π
And Fourier series is,
At x = 0, (a point of discontinuity), the fourier series
Hence, eq. (i), we get,
⇒ 
Question 3: The infinite series 
corresponds to
(a) secx
(b) ex
(c) cos x
(d) 1 + sin2x
[2011 : 2 Marks]
Answer: (b)
Solution: 
(By McLaurin’s series expansion)
The document Fourier Series and Transform | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE) is a part of the Civil Engineering (CE) Course Topic wise GATE Past Year Papers for Civil Engineering.
All you need of Civil Engineering (CE) at this link: Civil Engineering (CE)
Related Exams
About this Document
4.86/5
Rating
Apr 01, 2025
Last updated
Document Description: Fourier Series and Transform for Civil Engineering (CE) 2025 is part of Topic wise GATE Past Year Papers for Civil Engineering preparation.
The notes and questions for Fourier Series and Transform have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Fourier Series and Transform covers topics
like and Fourier Series and Transform Example, for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Fourier Series and Transform.
Introduction of Fourier Series and Transform in English is available as part of our Topic wise GATE Past Year Papers for Civil Engineering
for Civil Engineering (CE) & Fourier Series and Transform in Hindi for Topic wise GATE Past Year Papers for Civil Engineering course.
Download more important topics related with notes, lectures and mock test series for Civil Engineering (CE)
Exam by signing up for free. Civil Engineering (CE): Fourier Series and Transform | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE)
Description
Full syllabus notes, lecture & questions for Fourier Series and Transform | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE) - Civil Engineering (CE) | Plus excerises question with solution to help you revise complete syllabus for Topic wise GATE Past Year Papers for Civil Engineering | Best notes, free PDF download
Information about Fourier Series and Transform
In this doc you can find the meaning of Fourier Series and Transform defined & explained in the simplest way possible. Besides explaining types of
Fourier Series and Transform theory, EduRev gives you an ample number of questions to practice Fourier Series and Transform tests, examples and also practice Civil Engineering (CE)
tests
Related Searches
Fourier Series and Transform | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE)
,Previous Year Questions with Solutions
,Important questions
,Fourier Series and Transform | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE)
,study material
,MCQs
,Fourier Series and Transform | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE)
,video lectures
,Extra Questions
,practice quizzes
,Semester Notes
,ppt
,mock tests for examination
,Free
,Sample Paper
,Summary
,past year papers
,Exam
,Viva Questions
,Objective type Questions
,shortcuts and tricks
;
Additional Information about Fourier Series and Transform for Civil Engineering (CE) Preparation
Fourier Series and Transform Free PDF Download
The Fourier Series and Transform is an invaluable resource that delves deep into the core of the Civil Engineering (CE) exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Fourier Series and Transform now and kickstart your journey towards success in the Civil Engineering (CE) exam.
Importance of Fourier Series and Transform
The importance of Fourier Series and Transform cannot be overstated, especially for Civil Engineering (CE) aspirants.
This document holds the key to success in the Civil Engineering (CE) exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Fourier Series and Transform Notes
Fourier Series and Transform Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Fourier Series and Transform.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Fourier Series and Transform Notes on EduRev are your ultimate resource for success.
Fourier Series and Transform Civil Engineering (CE) Questions
The "Fourier Series and Transform Civil Engineering (CE) Questions" guide is a valuable resource for all aspiring students preparing for the
Civil Engineering (CE) exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Fourier Series and Transform on the App
Students of Civil Engineering (CE) can study Fourier Series and Transform alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Fourier Series and Transform,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Fourier Series and Transform is prepared as per the latest Civil Engineering (CE) syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup