HUNTERTUTORING

Answer Key — Fourier series

View PDF →

Fourier analysis & transforms

Do not share with students before practice tests.

Worksheets — Sets 1–10

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

Worksheets — Sets 11–20

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

Review tiers 1–10

  • Checklists are parent-judged.
  • Written items: verify against practice set patterns.
  • Standard text: Orthogonality of sine and cosine functions on intervals Fourier series for periodic functions; coefficients and convergence Even and odd extensions; sine and cosine series Parseval's theorem and energy interpretation Gibbs phenomenon and convergence at discontinuities

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 |

___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

Back to unit