December 2024 against June 2024
What one sitting asked that the other did not — as a share of each paper, because December 2024 carries 200 subject questions and June 2024 carries 100. Comparing raw counts across papers of different sizes invents a trend in every row.
Asked more in December 2024
- Limit Theorems and Markov Chains+2.5 pp
6.5% (13) in December 2024 · 4.0% (4) in June 2024
- Eigenvalues and Canonical Forms+2.0 pp
6.0% (12) in December 2024 · 4.0% (4) in June 2024
- Hypothesis Testing+1.5 pp
4.5% (9) in December 2024 · 3.0% (3) in June 2024
- Analytic Functions+1.5 pp
2.5% (5) in December 2024 · 1.0% (1) in June 2024
- Groups+1.5 pp
4.5% (9) in December 2024 · 3.0% (3) in June 2024
- Determinants and Matrix Tricks+1.5 pp
1.5% (3) in December 2024 · 0.0% (0) in June 2024
Asked more in June 2024
- Probability-4.0 pp
5.0% (10) in December 2024 · 9.0% (9) in June 2024
- Vector Spaces and Linear Maps-3.0 pp
3.0% (6) in December 2024 · 6.0% (6) in June 2024
- Continuity and Differentiation-2.5 pp
2.5% (5) in December 2024 · 5.0% (5) in June 2024
- Cauchy Theory-2.0 pp
2.0% (4) in December 2024 · 4.0% (4) in June 2024
- The Real Line-1.5 pp
5.5% (11) in December 2024 · 7.0% (7) in June 2024
- Rings and Fields-1.5 pp
4.5% (9) in December 2024 · 6.0% (6) in June 2024
Present on one paper and absent from the other
Absent from one sitting is not absent from the syllabus. A topic carrying two questions one session and none the next has told you almost nothing.
Only in December 2024
- Lebesgue Measure and Integration · 2
- Metric Spaces · 2
- Determinants and Matrix Tricks · 3
Only in June 2024
- — none
Every topic, both papers
| Topic | December 2024 | June 2024 | Change |
|---|---|---|---|
| ProbabilityProbability, Statistics & Linear Programming | 5.0% (10) | 9.0% (9) | -4.0 pp |
| The Real LineAnalysis & Linear Algebra | 5.5% (11) | 7.0% (7) | -1.5 pp |
| EstimationProbability, Statistics & Linear Programming | 6.0% (12) | 6.0% (6) | 0.0 pp |
| Ordinary Differential EquationsODE, PDE & Applied Mathematics | 6.0% (12) | 5.0% (5) | +1.0 pp |
| Limit Theorems and Markov ChainsProbability, Statistics & Linear Programming | 6.5% (13) | 4.0% (4) | +2.5 pp |
| Rings and FieldsComplex Analysis, Algebra & Topology | 4.5% (9) | 6.0% (6) | -1.5 pp |
| Linear Models and MultivariateProbability, Statistics & Linear Programming | 5.0% (10) | 5.0% (5) | 0.0 pp |
| Eigenvalues and Canonical FormsAnalysis & Linear Algebra | 6.0% (12) | 4.0% (4) | +2.0 pp |
| Vector Spaces and Linear MapsAnalysis & Linear Algebra | 3.0% (6) | 6.0% (6) | -3.0 pp |
| Partial Differential EquationsODE, PDE & Applied Mathematics | 4.0% (8) | 4.0% (4) | 0.0 pp |
| Hypothesis TestingProbability, Statistics & Linear Programming | 4.5% (9) | 3.0% (3) | +1.5 pp |
| Inner Product Spaces and FormsAnalysis & Linear Algebra | 3.5% (7) | 4.0% (4) | -0.5 pp |
| GroupsComplex Analysis, Algebra & Topology | 4.5% (9) | 3.0% (3) | +1.5 pp |
| Continuity and DifferentiationAnalysis & Linear Algebra | 2.5% (5) | 5.0% (5) | -2.5 pp |
| Numerical AnalysisODE, PDE & Applied Mathematics | 3.0% (6) | 3.0% (3) | 0.0 pp |
| Calculus of VariationsODE, PDE & Applied Mathematics | 3.0% (6) | 3.0% (3) | 0.0 pp |
| Cauchy TheoryComplex Analysis, Algebra & Topology | 2.0% (4) | 4.0% (4) | -2.0 pp |
| Linear Integral EquationsODE, PDE & Applied Mathematics | 2.0% (4) | 3.0% (3) | -1.0 pp |
| Sequences and Series of FunctionsAnalysis & Linear Algebra | 3.0% (6) | 2.0% (2) | +1.0 pp |
| Classical MechanicsODE, PDE & Applied Mathematics | 2.0% (4) | 2.0% (2) | 0.0 pp |
| TopologyComplex Analysis, Algebra & Topology | 2.0% (4) | 2.0% (2) | 0.0 pp |
| Sampling and Design of ExperimentsProbability, Statistics & Linear Programming | 2.0% (4) | 2.0% (2) | 0.0 pp |
| Singularities and ResiduesComplex Analysis, Algebra & Topology | 2.0% (4) | 2.0% (2) | 0.0 pp |
| Functions of Several VariablesAnalysis & Linear Algebra | 2.0% (4) | 2.0% (2) | 0.0 pp |
| Analytic FunctionsComplex Analysis, Algebra & Topology | 2.5% (5) | 1.0% (1) | +1.5 pp |
| IntegrationAnalysis & Linear Algebra | 2.0% (4) | 1.0% (1) | +1.0 pp |
| Zeros and MappingsComplex Analysis, Algebra & Topology | 1.5% (3) | 1.0% (1) | +0.5 pp |
| Linear ProgrammingProbability, Statistics & Linear Programming | 1.0% (2) | 1.0% (1) | 0.0 pp |
| Determinants and Matrix TricksAnalysis & Linear Algebra | 1.5% (3) | 0.0% (0) | +1.5 pp |
| Lebesgue Measure and IntegrationAnalysis & Linear Algebra | 1.0% (2) | 0.0% (0) | +1.0 pp |
| Metric SpacesAnalysis & Linear Algebra | 1.0% (2) | 0.0% (0) | +1.0 pp |
19 of 31 topics moved by less than 1.5 percentage points and are greyed out — at four to thirteen questions a topic, a swing of one or two questions is noise, not a signal.