An introductory course designed to teach the fundamental concepts and techniques of mathematical proofs.
When faced with a tough proof, break it into smaller, easier steps. Focus on one part at a time, and use what you've learned to build up to the big result. This makes complicated proofs feel less overwhelming and helps you spot errors quickly.
Splitting a proof into cases for even and odd numbers.
Proving a general rule by first showing it works for small values.