HUNTERTUTORING

Answer Key — Discrete dynamical systems

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Dynamical systems

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Worksheets — Sets 1–10

| Set | Guidance | | --- | --- | | Set 1 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 2 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 3 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 4 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 5 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 6 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 7 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 8 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 9 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 10 | Discrete dynamical systems — verify written work and accept reasonable drawings. |

Worksheets — Sets 11–20

| Set | Guidance | | --- | --- | | Set 11 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 12 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 13 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 14 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 15 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 16 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 17 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 18 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 19 | Discrete dynamical systems — verify written work and accept reasonable drawings. | | Set 20 | Discrete dynamical systems — verify written work and accept reasonable drawings. |

Review tiers 1–10

  • Checklists are parent-judged.
  • Written items: verify against practice set patterns.
  • Standard text: Iterated maps and cobweb diagrams Fixed points and stability for discrete systems Period doubling and route to chaos (logistic map) Symbolic dynamics and shift maps (introduction) Fractals and sensitive dependence (overview)

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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