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 the term convolution in the context of Laplace Transforms.
💡 Hint: Think about how functions interact over time.
Question 2
Easy
What property states that (𝑓 ∗ 𝑔)(𝑡) = (𝑔 ∗ 𝑓)(𝑡)?
💡 Hint: Reflect on the order of operations.
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 definition of convolution?
💡 Hint: Think about integrating products over an interval.
Question 2
True or False: The convolution of two functions is non-commutative.
- True
- False
💡 Hint: Recall the commutative property you learned earlier.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the convolution of two functions 𝑓(𝑡) = e^{-at} and 𝑔(𝑡) = e^{-bt}. Show all steps.
💡 Hint: Set up your integral and consider how each function behaves over time.
Question 2
Explain and derive the inverse Laplace transform for 1/(s^2 + 1) using convolution.
💡 Hint: Look for pairs of known Laplace transforms that will yield the function when combined.
Challenge and get performance evaluation