Answer Key — Numerical linear algebra and integration
Numerical analysis
Do not share with students before practice tests.
Worksheets — Sets 1–10
| Set | Guidance | | --- | --- | | Set 1 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 2 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 3 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 4 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 5 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 6 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 7 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 8 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 9 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 10 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. |
Worksheets — Sets 11–20
| Set | Guidance | | --- | --- | | Set 11 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 12 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 13 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 14 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 15 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 16 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 17 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 18 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 19 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. | | Set 20 | Numerical linear algebra and integration — verify written work and accept reasonable drawings. |
Review tiers 1–10
- Checklists are parent-judged.
- Written items: verify against practice set patterns.
- Standard text: Gaussian elimination with partial pivoting LU factorization and its use in solving Ax = b Iterative methods: Jacobi and Gauss–Seidel (introduction) Numerical differentiation: forward, backward, and central differences Numerical integration: trapezoidal and Simpson's rules; composite formulas
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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