MATH40002 Revalidated practice comparison

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: 2f6bf8b5e4e11a1fc9c0f2ff30a46cb0cdbf525e684af4f8a56c93e15f7fdb0a
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.

English passage 1 (5% down the source page) MATH40002 Revalidation of the equal-difficulty replacement matrix

English passage 2 (11% down the source page) Revalidation rules

English passage 3 (15% down the source page) The same topic does not imply the same difficulty. Retain only entries checked for historical starting point, course method sequence, marks, steps, computational load, abstraction, synthesis and estimated time entries are retained. The new approach does not require alignment with 2026 Same knowledge point or question-number slot .

English passage 4 (19% down the source page) Item Status Treatment Evidence / Reason

English passage 5 (21% down the source page) S1Q1 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S1Q2 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S1Q3 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S1Q4 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S2Q1 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S2Q2 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S2Q3 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S2Q4 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S3Q1 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S3Q2 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S3Q3 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S3Q4 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S4Q1 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S4Q2 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S4Q3 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S4Q4 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S5Q1 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S5Q2 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S5Q3 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S5Q4 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S6Q1 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S6Q2 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S6Q3 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) S6Q4 Validation passed Included in the final six papers 2020-2026 Official paper solutions and examiner comments (not accessible in this session: lecture notes/problem sheets/tutorial) Old :Taylor Integral remainder ↔MVT/Heine- Cantor State

English passage 6 (80% down the source page) Delete Remove from the formal equal-difficulty matrix; may retain as Specialist recognition practice

English passage 7 (80% down the source page) Both concern function analysis, but theorem hypotheses and recall demands differ; insufficient evidence of equal difficulty .

English passage 8 (82% down the source page) Old: integrability with finitely many discontinuities ↔ Step functions are integrable Delete Remove from the formal equal-difficulty matrix; may retain as Specialist recognition practice

English passage 9 (82% down the source page) The latter is an overly narrow special case; length of the exceptional region + The method sequence using uniform continuity on the regular region was not practised .

English passage 10 (85% down the source page) Old: telescoping divergent coefficients ↔ Arbitrary comparison for divergence Coefficients

English passage 11 (85% down the source page) Delete Remove from the formal equal-difficulty matrix; may retain as Specialist recognition practice

English passage 12 (85% down the source page) Same conclusion but different first key steps and dependencies between subparts; not a direct equal-difficulty replacement Replace . Old: bounded convex / Long chain of concavity and asymptotic arguments ↔ Bounded convex function Must be constant

English passage 13 (87% down the source page) Reclassify as specialist practice Remove from the formal equal-difficulty matrix; may retain as Specialist recognition practice

English passage 14 (87% down the source page) Similar topics, but different numbers of steps, integral bounds and asymptotic demands; no longer evidence of whole-paper equivalence evidence .