HUNTERTUTORING

Answer Key — Conformal mapping and advanced topics

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Complex analysis

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Worksheets — Sets 1–10

| Set | Guidance | | --- | --- | | Set 1 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 2 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 3 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 4 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 5 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 6 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 7 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 8 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 9 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 10 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. |

Worksheets — Sets 11–20

| Set | Guidance | | --- | --- | | Set 11 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 12 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 13 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 14 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 15 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 16 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 17 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 18 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 19 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. | | Set 20 | Conformal mapping and advanced topics — verify written work and accept reasonable drawings. |

Review tiers 1–10

  • Checklists are parent-judged.
  • Written items: verify against practice set patterns.
  • Standard text: Conformal maps and the Riemann mapping theorem (statement) Möbius transformations and the extended complex plane Argument principle and Rouché's theorem (introduction) Schwarz lemma and normal families (optional capstone)

Practice test scoring

| Tier | Pass guidance | | --- | --- | | 1–3 | Most oral tasks smooth; majority of written correct | | 4–6 | 7/10+ total with clear understanding | | 7–8 | 9/12+ with explanations | | 9–10 | Near-perfect; ready to move on |

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