19.1 - Discrete Mathematics
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
Define a ring in your own words.
💡 Hint: Think about the combination of a set and operations.
What is an example of a ring?
💡 Hint: Consider commonly used number sets.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What are the properties required for a ring?
💡 Hint: Recall the axioms discussed in class.
All non-zero elements in a field have an inverse.
💡 Hint: Think about what makes fields special compared to rings.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a ring of integers mod 5, determine whether the number 2 has a multiplicative inverse.
💡 Hint: Try finding a number that gives 1 when multiplied by 2.
Prove that the set of polynomials over a ring forms a ring itself.
💡 Hint: Focus on how addition and multiplication of coefficients work in the original ring.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.