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 convolution integral in your own words.
💡 Hint: Think about how functions can be combined in mathematics.
Question 2
Easy
What is an impulse response function?
💡 Hint: Consider the response of a system to a sudden force.
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 does the convolution integral compute in an LTI system?
- Output response
- Input force
- Impulse response
💡 Hint: Consider what we are trying to determine about the system.
Question 2
True or False: The principle of superposition applies to all systems, including non-linear.
- True
- False
💡 Hint: Review linear vs. non-linear characteristics.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Describe the process of applying the Duhamel integral to analyze a building’s response to an earthquake, including mathematical formulation.
💡 Hint: Focus on the relationship between the ground motion and the system's impulse response.
Question 2
Given a non-linear system with a specific input, explain why the convolution integral cannot be directly applied and suggest an alternative approach.
💡 Hint: Think of what characterizes non-linear systems and alternative mathematical solutions.
Challenge and get performance evaluation