Advanced calculus and modelling
Differential equations and kinematics models solved using both analytic technique and technology.
16 questionsReview and practiseReviewed betaReviewed beta practice: most questions have passed SubjectScout's content review, but this is still unofficial and not rights-cleared exam-board material. 100% of 160 questions reviewed.
MATH AI HL · Learning hub
Mathematics: Applications & Interpretation HL
Differential-equation modelling and probability distributions, extended to HL depth across three genuinely distinct papers. Selected topics only, not full syllabus coverage.
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Key concepts
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Probability distributions
Poisson and normal distributions, and an introduction to hypothesis testing.
16 questionsReview and practiseMatrices and Markov chains
Matrix algebra, determinants and inverses, and transition matrices applied to Markov chains.
16 questionsReview and practiseGraph theory and networks
Graphs, trees, minimum spanning trees, shortest-path algorithms, and the travelling salesman problem.
16 questionsReview and practiseGeometry and trigonometry: vectors
3D vectors, lines in space, the dot and cross products, and Voronoi diagrams.
16 questionsReview and practiseStructured progression
Revision Ladder
Start with foundations, then move through application and challenge. Stages use activity marks and complexity.
Stage 1
Start stage Foundation
Recall core ideas and establish reliable methods.
20 questions available0/20 completedStage 2
Start stage Apply
Connect concepts and apply them in exam-style contexts.
49 questions available0/49 completedStage 3
Start stage Challenge
Tackle the highest-mark, multi-step questions available.
11 questions available0/11 completedProgress dashboard
Topic practice
Recommended next: Advanced calculus and modelling
Topics 5 and 1
Advanced calculus and modelling
Not startedDifferential equations and kinematics models solved using both analytic technique and technology.
0%0/32 complete
Topic 4 HLProbability distributions
Not startedPoisson and normal distributions, and an introduction to hypothesis testing.
0%0/32 complete
Topic 1 HLMatrices and Markov chains
Not startedMatrix algebra, determinants and inverses, and transition matrices applied to Markov chains.
0%0/32 complete
Topic 3 HLGraph theory and networks
Not startedGraphs, trees, minimum spanning trees, shortest-path algorithms, and the travelling salesman problem.
0%0/32 complete
Topic 3 HLGeometry and trigonometry: vectors
Not started3D vectors, lines in space, the dot and cross products, and Voronoi diagrams.
0%0/32 complete
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This is unofficial practice under accuracy, provenance, and rights review. Use the latest official subject guide to confirm syllabus coverage and examination requirements.