Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define Fourier Cosine Transform.
💡 Hint: Think of the functions defined and their nature.
Question 2
Easy
What type of functions does the Fourier Sine Transform typically use?
💡 Hint: Consider boundary conditions.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the Fourier Cosine Transform of \( e^{-ax} \)?
- \\( \\frac{2a}{\\pi(a^2+s^2)} \\)
- \\( \\frac{2s}{\\pi(as^2)} \\)
- \\( \\frac{2}{a^2+s^2} \\)
💡 Hint: Remember the form of the transform.
Question 2
True or False: The Fourier Sine Transform is used for functions that are even.
- True
- False
💡 Hint: Think about the nature of sine functions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For the function \( f(x) = e^{-3x} \), calculate both the Fourier Cosine and Sine transforms and use them in a practical engineering problem such as heat diffusion.
💡 Hint: Consider how temperature changes with distance from the source.
Question 2
Discuss how the choice between FCT and FST could change the outcome in solving a boundary value problem for a beam fixed at one end versus a string fixed at both ends.
💡 Hint: Think about how boundary conditions affect physical properties.
Challenge and get performance evaluation