Mathematics: Applications and Interpretation HL

Calculus

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

Optimize quadratic profit models Develop optimize quadratic profit models through finite, checked AI HL practice aligned to current syllabus point AIHL 5.7. Interpret rates of change in context Develop interpret rates of change in context through finite, checked AI HL practice aligned to current syllabus point AIHL 5.3. Approximate areas with the trapezoidal rule Develop approximate areas with the trapezoidal rule through finite, checked AI HL practice aligned to current syllabus point AIHL 5.8. Solve separable growth equations Develop solve separable growth equations through finite, checked AI HL practice aligned to current syllabus point AIHL 5.14. Apply Euler method to first-order equations Develop apply euler method to first-order equations through finite, checked AI HL practice aligned to current syllabus point AIHL 5.16. Integrate rates for accumulated change Develop integrate rates for accumulated change through finite, checked AI HL practice aligned to current syllabus point AIHL 5.5. Differentiate products in context Develop differentiate products in context through finite, checked AI HL practice aligned to current syllabus point AIHL 5.9. Differentiate quotients in context Develop differentiate quotients in context through finite, checked AI HL practice aligned to current syllabus point AIHL 5.9. Interpret derivative signs from graphs Develop interpret derivative signs from graphs through finite, checked AI HL practice aligned to current syllabus point AIHL 5.1. Use second derivatives to classify stationary points Develop use second derivatives to classify stationary points through finite, checked AI HL practice aligned to current syllabus point AIHL 5.10. Interpret slopes in slope fields Develop interpret slopes in slope fields through finite, checked AI HL practice aligned to current syllabus point AIHL 5.15. Solve proportional decay equations Develop solve proportional decay equations through finite, checked AI HL practice aligned to current syllabus point AIHL 5.14. Classify phase portraits from eigenvalues Develop classify phase portraits from eigenvalues through finite, checked AI HL practice aligned to current syllabus point AIHL 5.17. Apply Euler method to coupled systems Develop apply euler method to coupled systems through finite, checked AI HL practice aligned to current syllabus point AIHL 5.16. Differentiate exponential models Develop differentiate exponential models through finite, checked AI HL practice aligned to current syllabus point AIHL 5.9. Calculate marginal profit Develop calculate marginal profit through finite, checked AI HL practice aligned to current syllabus point AIHL 5.1. Find tangent and normal equations in context Develop find tangent and normal equations in context through finite, checked AI HL practice aligned to current syllabus point AIHL 5.4. Calculate enclosed areas with signed integrals Develop calculate enclosed areas with signed integrals through finite, checked AI HL practice aligned to current syllabus point AIHL 5.12. Integrate by substitution in context Develop integrate by substitution in context through finite, checked AI HL practice aligned to current syllabus point AIHL 5.11. Optimize rectangle models with constraints Develop optimize rectangle models with constraints through finite, checked AI HL practice aligned to current syllabus point AIHL 5.7. Convert second-order equations to coupled systems Develop convert second-order equations to coupled systems through finite, checked AI HL practice aligned to current syllabus point AIHL 5.18. Apply the trapezoidal rule Develop apply the trapezoidal rule through finite, checked AI HL practice aligned to current syllabus point AIHL 5.8.