HUNTERTUTORING

Answer Key — Applications and generalizations

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Fourier analysis & transforms

Do not share with students before practice tests.

Worksheets — Sets 1–10

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

Worksheets — Sets 11–20

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

Review tiers 1–10

  • Checklists are parent-judged.
  • Written items: verify against practice set patterns.
  • Standard text: Heat equation and PDE solutions via Fourier series Signal decomposition and frequency content Window functions and leakage (introduction) Fast Fourier transform (FFT) algorithm overview Introduction to wavelets (optional topic)

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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