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 reflexivity mean in the context of equivalence relations?
💡 Hint: Think of what happens when you compare an element to itself.
Question 2
Easy
Define a surjective function in simple terms.
💡 Hint: Consider how each element in the output set is associated.
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 characterizes a bijective function?
- It is injective
- It is surjective
- Both injective and surjective
💡 Hint: Think about the definitions of injective and surjective.
Question 2
True or False: A surjective function guarantees that all outputs are unique.
- True
- False
💡 Hint: Consider mappings where elements can overlap.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine and justify whether the relation defined on the set {1, 2, 3} with pairs {(1, 2), (2, 1), (2, 3)} is an equivalence relation.
💡 Hint: Examine each of the equivalence relation properties separately.
Question 2
Calculate the number of surjective functions from a set with 3 distinct elements to a set with 2 distinct elements, employing the Stirling function.
💡 Hint: Break it down using partitions and consider permutations!
Challenge and get performance evaluation