Complex Variables · Calculus
Conformal Mappings
Every simply connected proper subdomain of ℂ is conformally equivalent to the unit disk — the Riemann mapping theorem. Conformal maps transform difficult geometries into tractable ones.
WHAT STUDENTS WILL LEARN
✓Define and apply Möbius transformations
✓Map standard domains using exp, log, z²
✓Apply the Riemann mapping theorem
✓Solve boundary value problems using conformal maps
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