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MATH40004 FIGURE FILE QA REVISED 2

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: 520de3f678beba96f6c628e59a58045486bec88e0aa4a615bfc6c1ce850599f9
Source date: 2026-08-06

Source page 1

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

Mathematical content of source page 1 with translated prose supplied below
English passage 1 (6% down the source page) AUDITED_REVISED_2 revision statement
English passage 2 (11% down the source page) The body of this report comes from the previous revised version. Codex's independent review found that the previous main ZIP omitted the 2020 original question booklet and official solutions/marking materials, affecting the 2020 question-level evidence.
English passage 3 (12% down the source page) These question-level claims could not be independently verified within the package.
English passage 4 (15% down the source page) This version includes the original file “MATH40004MATH40011_Calculus and Applications_Q&S;_May_2020(3).pdf” unchanged under 06_SOURCE
English passage 5 (16% down the source page) _EVIDENCE/2020, registered in the original-evidence index and SHA256SUMS. This PDF has 22 pages. Its SHA-256 is:
English passage 6 (19% down the source page) 143a8d4fdaaf7f49f781e464c0794cc7a29cd1f96d25440bc26dafa79164520b Question-level conclusions for 2020–2026 must therefore be read with the original PDFs. Reports cannot replace original materials. Apart from evidence-chain completion and workbook
English passage 7 (22% down the source page) mechanical-format repairs, the report's conclusions have not been recalculated or altered. Version date: 2026-08-06.

Source page 2

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

Mathematical content of source page 2 with translated prose supplied below
English passage 1 (5% down the source page) figures and files QA Report

Source page 3

Mathematical typesetting and diagrams are retained below. Chinese prose is replaced by the English passages that follow, in source reading order.

Mathematical content of source page 3 with translated prose supplied below
English passage 1 (5% down the source page) automated and manual quality-check results
English passage 2 (9% down the source page) • All 12 separate PDFs passed Ghostscript parsing. Each paper has five pages and four occurrences of “Total: 20 marks”. Each solution file has four difficulty-budget blocks.
English passage 3 (12% down the source page) • Both compilations were rendered and checked page by page; no blank pages were found. Manual montage review found no clipping, black blocks, garbled formulas or misaligned questions and figures.
English passage 4 (15% down the source page) • Independent mathematical checks: 25 in total, 25 passed and 0 failed. Checks include ODE residuals, piecewise joins, Jordan chains, integrating-factor exactness, Hessian stationary points, approximation errors and substitution of second-order Taylor expressions.
English passage 5 (19% down the source page) File page 20 mark question embedded figure Result MATH40004_Mock_1_REVISED_HISTORICAL_COVERAGE.pdf 5 4 2 PASS MATH40004_Mock_2_REVISED_HISTORICAL_COVERAGE.pdf 5 4 0 PASS MATH40004_Mock_3_REVISED_HISTORICAL_COVERAGE.pdf 5 4 0 PASS MATH40004_Mock_4_REVISED_HISTORICAL_COVERAGE.pdf 5 4 0 PASS MATH40004_Mock_5_REVISED_HISTORICAL_COVERAGE.pdf 5 4 2 PASS MATH40004_Mock_6_REVISED_HISTORICAL_COVERAGE.pdf 5 4 2 PASS MATH40004_Mock_1_COURSE_METHOD_AUDITED.pdf 5 0 4 PASS MATH40004_Mock_2_COURSE_METHOD_AUDITED.pdf 6 0 6 PASS MATH40004_Mock_3_COURSE_METHOD_AUDITED.pdf 5 0 6 PASS MATH40004_Mock_4_COURSE_METHOD_AUDITED.pdf 5 0 6 PASS MATH40004_Mock_5_COURSE_METHOD_AUDITED.pdf 5 0 2 PASS MATH40004_Mock_6_COURSE_METHOD_AUDITED.pdf 5 0 4 PASS
English passage 6 (35% down the source page) figure checks
English passage 7 (39% down the source page) Questions provide the actual input figures, including a spherical-droplet model, given phase portrait and superposed-arc model. When students must draw, the question does not rely on hidden structure. Solutions supply completed stable-spiral, Jordan-node, saddle, bifurcation, fixed-point-line, centre, singularity-branch and Hessian-contour diagrams. Nodes, parameters and stability arrows agree with the question formulas.
English passage 8 (46% down the source page) mark allocations and file consistency
English passage 9 (49% down the source page) Each cover states 80 marks and each of the four main questions carries 20 marks. Compilation order is P1–P6; solution and question numbers match one to one. The final ZIP contains only revised materials, matrices, reports and the import list.
English passage 10 (55% down the source page) honest limitations
English passage 11 (58% down the source page) QA establishes only the listed parsing, rendering, page-count, text, figure and mathematical-residual checks. It does not claim to eliminate every reader-specific problem. Course lecture notes and Tony's answers for this course were unavailable, so page-by-page comparison with lecture wording and an individual error-profile audit could not be performed.