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 does the delta function represent in higher dimensions?
💡 Hint: Think about how the delta function behaves in one dimension.
Question 2
Easy
Write the delta function in 2D for a point at (x0, y0).
💡 Hint: How do you extend the concept of delta functions to 2 dimensions?
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 form of the delta function in three dimensions?
- $$\\delta(x-x_0)$$
- $$\\delta(x-x_0)\\delta(y-y_0)$$
- $$\\delta(x-x_0)\\delta(y-y_0)\\delta(z-z_0)$$
💡 Hint: Look for the representation in multiple dimensions.
Question 2
True or False: The delta function can represent a point load in 3D.
- True
- False
💡 Hint: Consider previous applications of the delta function.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A concentrated load is applied at a point (3, 4, 5) in a structure. Write the expression that models this using the Dirac delta function in 3D.
💡 Hint: Use the general form of the multi-dimensional delta function for point loads.
Question 2
Discuss how multi-dimensional delta functions impact numerical simulations in civil engineering. Provide an example.
💡 Hint: Think about how numerical tools apply delta function properties.
Challenge and get performance evaluation