Analysis · Number
The Real Number System
The completeness of ℝ — every nonempty set bounded above has a least upper bound — is the axiom that makes calculus rigorous.
WHAT STUDENTS WILL LEARN
✓State the completeness axiom
✓Prove the Archimedean property and density of ℚ
✓Define supremum and infimum
✓Overview construction of ℝ from ℚ
COURSE OUTLINE · CLICK A PART FOR RESOURCES