MATH40004 VERSION CROSSWALK AND REVISION NOTES 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: ddfd5734d5a474feaff974bfd6758f25f60d189f80ec500406a18fb4f20ba78bSource 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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AUDITED_REVISED_2 revision statement
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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.
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These question-level claims could not be independently verified within the package.
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This version includes the original file “MATH40004MATH40011_Calculus and Applications_Q&S;_May_2020(3).pdf” unchanged under 06_SOURCE
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_EVIDENCE/2020, registered in the original-evidence index and SHA256SUMS. This PDF has 22 pages. Its SHA-256 is:
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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
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mechanical-format repairs, the report's conclusions have not been recalculated or altered. Version 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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old-to-new version mapping and revision notes
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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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status of old-version files
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The following old files remain in their historical locations but are all marked INACTIVE / DO NOT IMPORT: the six-paper compilation, eight-paper compilation, solution compilation, 50-knowledge-point coverage matrix, old replacement matrix and old QC report. The final ZIP excludes these files.
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old-to-new correspondence
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Old material | New material | Main changes
Old P1 | Revised P1 | Only this paper retains 2026 structural reinforcement; replace functions, models, matrices and integrating factors.
Old P2/part of P7 | Revised P2 | Rebuild as a 2025 bridge: series/iteration, Fourier translation/convolution, Euler-Cauchy, Jordan, double bifurcation and Jacobian/Hessian.
Old P3/part of P4 | Revised P3 | Organise by 2023–2024 entry points, not 2026 question numbers.
Earlier historical content in old P5 | Revised P4 | Concentrate on 2020–2022 definitions, parametric curves, Fresnel, centroids, sign-function Fourier, Green and zero-eigenvalue lines.
Gap content in old P7 | Revised P5 | Driven by the A/B matrix; fills gaps in flat functions, Heaviside, given phase portraits, Hessian and related abilities.
Old P6/P8 | Revised P6 | Remove the four-slot 2026 replication and use mixed transfer: arc centroids, centre resonance, single-variable integrating factors and nonstandard singularity collisions.
Old solutions | COURSE_METHOD_AUDITED solutions
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Main solutions are rewritten using official methods and add recognition signals, first steps, errors and self-checks.
Old coverage matrix → Effective-coverage matrix: replace binary knowledge-point flags with an A/B/C/D ability-unit matrix.
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file naming rules
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Question filenames contain REVISED_HISTORICAL_COVERAGE; solution filenames contain COURSE_METHOD_AUDITED. The Codex list uses unique stable IDs: math40004-revised-p1 through p6.
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correct rather than erase history
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Old files remain in the user's history for traceability. The list, manifest and final ZIP do not reference them, preventing simultaneous website versions.