Mathematics: Applications and Interpretation HL

Geometry and trigonometry

Official Mathematics: applications and interpretation HL strand for the current first-assessment-2021 syllabus.

Count walks with adjacency matrices Develop count walks with adjacency matrices through finite, checked AI HL practice aligned to current syllabus point AIHL 3.15. Use Voronoi boundaries in context Develop use voronoi boundaries in context through finite, checked AI HL practice aligned to current syllabus point AIHL 3.6. Classify Eulerian routes in networks Develop classify eulerian routes in networks through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Find minimum spanning tree weights Develop find minimum spanning tree weights through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Calculate travelling salesperson upper bounds Develop calculate travelling salesperson upper bounds through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Solve Chinese postman route problems Develop solve chinese postman route problems through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Find two-step Markov probabilities Develop find two-step markov probabilities through finite, checked AI HL practice aligned to current syllabus point AIHL 4.19. Test candidate Markov distributions Develop test candidate markov distributions through finite, checked AI HL practice aligned to current syllabus point AIHL 4.19. Count adjacency-matrix walks Develop count adjacency-matrix walks through finite, checked AI HL practice aligned to current syllabus point AIHL 3.15. Apply graph degree sums Develop apply graph degree sums through finite, checked AI HL practice aligned to current syllabus point AIHL 3.14. Find Voronoi boundary equations Develop find voronoi boundary equations through finite, checked AI HL practice aligned to current syllabus point AIHL 3.6. Determine Euler trail and circuit conditions Develop determine euler trail and circuit conditions through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Calculate nearest-neighbour TSP upper bounds Develop calculate nearest-neighbour tsp upper bounds through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Calculate minimum spanning tree weights Develop calculate minimum spanning tree weights through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Solve Chinese postman lengths Develop solve chinese postman lengths through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Calculate deleted-vertex lower bounds Develop calculate deleted-vertex lower bounds through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Calculate vector-product components Develop calculate vector-product components through finite, checked AI HL practice aligned to current syllabus point AIHL 3.13. Calculate vector-product magnitudes Develop calculate vector-product magnitudes through finite, checked AI HL practice aligned to current syllabus point AIHL 3.13. Calculate triangle areas with vector products Develop calculate triangle areas with vector products through finite, checked AI HL practice aligned to current syllabus point AIHL 3.13. Resolve vectors into parallel and perpendicular components Develop resolve vectors into parallel and perpendicular components through finite, checked AI HL practice aligned to current syllabus point AIHL 3.13. Determine in-degrees and out-degrees in directed graphs Develop determine in-degrees and out-degrees in directed graphs through finite, checked AI HL practice aligned to current syllabus point AIHL 3.14. Select Prim algorithm edges from weight matrices Develop select prim algorithm edges from weight matrices through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Judge Kruskal algorithm cycle decisions Develop judge kruskal algorithm cycle decisions through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Solve Chinese postman routes with two odd vertices Develop solve chinese postman routes with two odd vertices through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Classify Hamiltonian routes Develop classify hamiltonian routes through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Compare travelling salesperson bounds Develop compare travelling salesperson bounds through finite, checked AI HL practice aligned to current syllabus point AIHL 3.16. Apply affine matrix transformations to points Develop apply affine matrix transformations to points through finite, checked AI HL practice aligned to current syllabus point AIHL 3.9. Use determinants as area scale factors Develop use determinants as area scale factors through finite, checked AI HL practice aligned to current syllabus point AIHL 3.9. Recover points with inverse affine transformations Develop recover points with inverse affine transformations through finite, checked AI HL practice aligned to current syllabus point AIHL 3.9. Compose two matrix transformations Develop compose two matrix transformations through finite, checked AI HL practice aligned to current syllabus point AIHL 3.9.