Coverage & provenance · Complex numbers
All coverage topics · Student practice
Indexing is not transcription, and transcription is not mathematical review. This page keeps those stages visible.
19 of 19 groups have authored prompts and authored interactive lessons; 0 await conversion. 19 have mathematical review recorded. Review includes documented qualifications where the printed source is inconsistent or depends on an unstated assumption. This is a first authoring and mathematical review pass, not independent expert certification. Difficulty ratings remain unassigned. The ledger below distinguishes these states.
Inventory reconciliation: Inequalities Q13–14 are on question PDF page 3, printed page 22. Their extra indentation caused the initial scan to stop at Q12. The corrected topic count is 14 and the overall count is 248; original source bytes are unchanged.
Collection-wide source ledger
248 complete-source articles and 15 topic metadata articles cover 468 original page instances. Source transcription, mathematical review and browser acceptance are recorded separately.
Download the native page-by-item ledger →Topic ledger
| Topic | Groups | Authored explanations | Maths review | Source pages |
|---|---|---|---|---|
| 15 · Complex numbers | 19 | 19 / 19 | 19 / 19 | 5 question / 23 solution |
Source qualifications and cautions
The original pages remain unchanged. Corrections, interpretation choices and necessary domain conditions are recorded alongside the authored working.
15-04 · reviewed: independently derived and compared with rendered question/answer pages
An inverse tangent alone does not identify the quadrant.
15-06 · reviewed: independently derived and compared with rendered question/answer pages
The printed first equation contains modulus bars; plain extraction omits them. Squaring creates a rejected candidate.
15-09 · reviewed: independently derived and compared with rendered question/answer pages
Three distinct real roots require strict inequalities; “only real roots” includes repeated roots.
15-10 · reviewed: independently derived and compared with rendered question/answer pages
The conjugate of a root need not be a root of a polynomial with complex coefficients.
15-13 · reviewed with source qualification; see warning and topic review evidence
The printed polynomial assumes a monic quartic; the literal root data permit any nonzero real scalar multiple.
15-17 · reviewed: independently derived and compared with rendered question/answer pages
The angle of w−z belongs to the vector ZW, not WZ.
15-19 · reviewed: independently derived and compared with rendered question/answer pages
Argument subtraction may need reduction into the principal interval; here −11π/12 already lies there.
Series expansion topic 09 has byte-identical question and solution PDFs. Their printed solutions are transcribed once; the provenance ledger accounts for both file instances.
Exam references
2025 TJC H2 Maths (9758), JC2 MSM. Individual exam references are retained on question pages; original question and solution page numbers are kept independently. Source margin notes, short keys, tables and diagrams are transcribed into native articles. All 468 original page instances map to 2,703 native item records. Diagrams are source-specific D3 SVGs.
Owner reports that the source contributor has permission to republish. Original attribution and source-page provenance are retained. Originals are preserved privately for quality checks and are excluded from the delivered site.
Byte verification
Original ZIP: 11,692,621 bytes.
SHA-256: 39645f7e5aee1f8d870eca9267920157747d43725a1cc8b0486cb43ca532b1cc
30 PDFs / 468 PDF pages. Every PDF has its own byte length and SHA-256 in the manifest.
Question-by-question status
| Question | Conversion | Mathematical review | Question PDF pages |
|---|---|---|---|
| 15-01 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 1 |
| 15-02 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 1 |
| 15-03 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 1 |
| 15-04 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 1 |
| 15-05 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 1 |
| 15-06 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 1 |
| 15-07 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 2 |
| 15-08 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 2 |
| 15-09 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 2 |
| 15-10 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 3 |
| 15-11 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 3 |
| 15-12 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 3 |
| 15-13 · Source review | authored | reviewed with source qualification; see warning and topic review evidence | 3 |
| 15-14 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 3 |
| 15-15 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 4 |
| 15-16 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 4 |
| 15-17 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 4 |
| 15-18 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 4 |
| 15-19 · Source review | authored | reviewed: independently derived and compared with rendered question/answer pages | 4 |