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 is a proof in mathematics?
💡 Hint: Consider how you validate a statement mathematically.
Question 2
Easy
Define Mathematical Reasoning.
💡 Hint: Think about why reasoning is essential in logic.
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 mathematical reasoning primarily concerned with?
- Constructing random algorithms
- Deriving logical conclusions
- Speeding up code
💡 Hint: Think about how mathematicians ensure their statements hold true.
Question 2
A proof by contradiction assumes what?
- True
- False
💡 Hint: This type of proof is named for what it aims to expose.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove by induction that for all integers n ≥ 1, the sum of the first n even numbers equals n(n + 1).
💡 Hint: Set up your base case carefully, and then demonstrate the inductive step.
Question 2
Demonstrate how mathematical reasoning is crucial in validating an algorithm's performance.
💡 Hint: Consider time complexity notation and proofs of correctness.
Challenge and get performance evaluation