MATH40007 Final QA and Codex Import Instructions
English review edition prepared on 4 October 2026 from a preserved source copy. It is a later presentation, not the historical study interface. Source checks and difficulty judgements describe the original material author's own process; they do not indicate Imperial College London endorsement.
Source SHA-256: 80cc2d5591ba307436c4052855e7e091ef5f29daf2057e680f4c77f8a67c4bacSource date: 2026-08-06
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Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.
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MATH40007 Final files and figures QA Report
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1. Structure checks
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File
Check items
Result
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Combined questions: 6 papers, each with 4 questions of 20 marks, 2 hours and 80 marks — passed.
Combined solutions: all 24 questions have corresponding solutions and difficulty allocations — passed.
Difficulty: A32/B20/C12/D16 for every paper — passed.
Version: the final package excludes old V1–V6 question booklets — passed.
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2. figure checks
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Every question that requires structural understanding includes an actual figure or a complete reconstructible description:
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Circuits and conductance networks: P1 Q1–Q2, P2 Q1, P3 Q1, P4 Q1, P6 Q4.
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Random-walk graphs: P2 Q2, P5 Q2, P6 Q3.
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Trees, wheel graphs, complete graphs and block graphs: P3 Q2–Q3, P4 Q3, P5 Q1.
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Spring-mass systems: P2 Q3, P5 Q3, P6 Q2.
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Complex-potential regions are defined jointly by coordinate domains, boundaries and analytic functions and do not rely on missing figures.
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Page-by-page rendering checks found no blank pages, clipped figures, overlaps, corrupted characters or question/answer mismatches.
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3. Mathematical consistency checks
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Linear systems, Kirchhoff current laws, conductance and random-walk harmonic equations were solved again.
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Green matrices were checked by direct inversion.
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Modal problems were checked for eigenvalues, eigenvectors and reconstruction of initial conditions.
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Complex-potential problems were checked for boundary magnitudes, singularity strengths, derivatives and flux conservation.
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For segmented conductors, continuity of potential and current at interfaces was checked.
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Total marks and A/B/C/D allocations reconcile for every paper.
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4. Codex Import rules
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The website may import only the files in this ZIP. Operating requirements:
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1. Remove the old MATH40007_All_6_Questions_FINAL_V6.pdf, old solutions and old coverage reports from the active allowlist; retain them in QUARANTINE_DO_NOT_USE.
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2. For practice questions, use MATH40007_6_Papers_REVISED_HISTORICAL_COVERAGE_Questions.pdf.
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3. For solutions and marking, use MATH40007_6_Papers_COURSE_METHOD_AUDITED_Solutions.pdf.
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Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.
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4. For examination analysis, use the diagnostic report and effective-coverage workbook.
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5. Explicitly label Paper 1 as 2026 structural reinforcement and Papers 2–6 as historical coverage/transfer.
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6. Stop displaying the old conclusion that the six papers cover the main methods across seven years.
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5. Usage limitations
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These papers are unofficial practice calibrated to the official 2026 difficulty distribution; they are not institution-certified B papers. Course notes, problem sheets and standard methods in official solutions take priority. If methods conflict, do not replace the course’s main method with a more advanced or complicated solution.