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
What is the definition of convolution?
💡 Hint: Think about how functions interact with each other.
Question 2
Easy
Write the formula for convolution as defined in this section.
💡 Hint: Recall the limits of integration and functions involved.
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 convolution primarily used for?
- Combining functions
- Differentiation
- Finding roots
💡 Hint: Focus on the operation combining functions.
Question 2
True or False: The convolution of f and g is dependent on the order of functions used.
- True
- False
💡 Hint: Remember the properties of convolution.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Assuming f(t) = cos(t) and g(t) = sin(t), calculate (f * g)(t) using convolution and state its physical significance.
💡 Hint: Think about trigonometric identities or integration techniques.
Question 2
In a filtering system represented by h(t), the input signal is f(t) = e^(-at). Show how convolution of these two functions would provide the output signal.
💡 Hint: Refer back to the impulse response concept in system theory.
Challenge and get performance evaluation