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 gradient in your own words.
💡 Hint: Think about how it maps a scalar to a direction.
Question 2
Easy
What does divergence measure?
💡 Hint: Think of how fluids enter or leave a region.
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 gradient of a scalar field indicate?
- Direction of steepest descent
- Rate and direction of change
- Curvature at a point
💡 Hint: Consider where you'd look to find the quickest path uphill.
Question 2
Is the curl of a vector field always zero?
- True
- False
💡 Hint: Think about when you see spiraling motion.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A scalar field is defined as T(x,y) = 3x^2 + 2y^2. Calculate the gradient of T at the point (2, 1).
💡 Hint: Differentiate with respect to x and y to find the gradient vector.
Question 2
Given a vector field V(x, y, z) = (xz, y^2, xy), calculate its divergence.
💡 Hint: Apply the divergence operator using partial derivatives across each component.
Challenge and get performance evaluation