Analysis · Calculus
Continuity and Uniform Continuity
Continuity is local; uniform continuity is global. A continuous function on a closed bounded interval achieves its maximum and minimum.
WHAT STUDENTS WILL LEARN
✓Define continuity at a point via ε-δ
✓Prove EVT and IVT rigorously
✓Define uniform continuity
✓Prove continuous functions on compact sets are uniformly continuous
BUILDS ON
COURSE OUTLINE · CLICK A PART FOR RESOURCES