Samjhake
Real Analysis-II

Real Analysis-II· L03

Homework sets (Spivak)

HW-1 through HW-5 problem sets with solutions.

Canonical content

All five homework sets are on the Notes page (with worked solutions).

What you will cover

Spivak-style problem sets: topology/continuity, derivatives, directional derivatives, IFT, bump functions.

Visualization

HW-1 — Spivak problems

Visualization

HW-2 — derivatives & chain rule

Visualization

HW-3 — directional derivatives

Visualization

HW-4 — inverse function theorem

Visualization

HW-5 — smooth bump functions