Mathematics: Applications and Interpretation HL

Number and algebra

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

Calculate amortized loan payments Free Develop calculate amortized loan payments through finite, checked AI HL practice aligned to current syllabus point AIHL 1.7. Calculate annuity future values Free Develop calculate annuity future values through finite, checked AI HL practice aligned to current syllabus point AIHL 1.7. Calculate revenue with matrices Develop calculate revenue with matrices through finite, checked AI HL practice aligned to current syllabus point AIHL 1.14. Track loan balances recursively Develop track loan balances recursively through finite, checked AI HL practice aligned to current syllabus point AIHL 1.7. Solve systems using matrices Develop solve systems using matrices through finite, checked AI HL practice aligned to current syllabus point AIHL 1.14. Use inverse matrices in applications Develop use inverse matrices in applications through finite, checked AI HL practice aligned to current syllabus point AIHL 1.14. Interpret dominant eigenvalues in models Develop interpret dominant eigenvalues in models through finite, checked AI HL practice aligned to current syllabus point AIHL 1.15. Calculate infinite geometric tails Develop calculate infinite geometric tails through finite, checked AI HL practice aligned to current syllabus point AIHL 1.11. Calculate annual depreciation Develop calculate annual depreciation through finite, checked AI HL practice aligned to current syllabus point AIHL 1.4. Calculate real investment values after inflation Develop calculate real investment values after inflation through finite, checked AI HL practice aligned to current syllabus point AIHL 1.4. Find investment rates with finance solvers Develop find investment rates with finance solvers through finite, checked AI HL practice aligned to current syllabus point AIHL 1.7. Find outstanding loan balances Develop find outstanding loan balances through finite, checked AI HL practice aligned to current syllabus point AIHL 1.7. Find annuity present values with finance solvers Develop find annuity present values with finance solvers through finite, checked AI HL practice aligned to current syllabus point AIHL 1.7. Split the first loan payment Develop split the first loan payment through finite, checked AI HL practice aligned to current syllabus point AIHL 1.7. Matrix applications and transition systems Model and solve multi-variable resource, coding, and sequential transformation problems with matrices. Add and subtract complex numbers Develop add and subtract complex numbers through finite, checked AI HL practice aligned to current syllabus point AIHL 1.12. Multiply complex numbers Develop multiply complex numbers through finite, checked AI HL practice aligned to current syllabus point AIHL 1.12. Use conjugates in complex quotients Develop use conjugates in complex quotients through finite, checked AI HL practice aligned to current syllabus point AIHL 1.12. Calculate complex moduli Develop calculate complex moduli through finite, checked AI HL practice aligned to current syllabus point AIHL 1.12. Determine principal complex arguments Develop determine principal complex arguments through finite, checked AI HL practice aligned to current syllabus point AIHL 1.12. Eigenvalues, diagonalisation, and matrix powers Use distinct real eigenvalues and normalized eigenvectors to diagonalize two-by-two matrices and apply powers in context. Multiply complex numbers in polar form Develop multiply complex numbers in polar form through finite, checked AI HL practice aligned to current syllabus point AIHL 1.13. Raise polar complex numbers to integer powers Develop raise polar complex numbers to integer powers through finite, checked AI HL practice aligned to current syllabus point AIHL 1.13. Solve quadratics with complex roots Develop solve quadratics with complex roots through finite, checked AI HL practice aligned to current syllabus point AIHL 1.12. Divide complex numbers in polar form Develop divide complex numbers in polar form through finite, checked AI HL practice aligned to current syllabus point AIHL 1.13. Convert Cartesian complex numbers to polar form Develop convert cartesian complex numbers to polar form through finite, checked AI HL practice aligned to current syllabus point AIHL 1.13. Convert polar complex numbers to Cartesian form Develop convert polar complex numbers to cartesian form through finite, checked AI HL practice aligned to current syllabus point AIHL 1.13. Find amplitudes of combined sinusoidal models Develop find amplitudes of combined sinusoidal models through finite, checked AI HL practice aligned to current syllabus point AIHL 1.13. Find phase angles of combined sinusoidal models Develop find phase angles of combined sinusoidal models through finite, checked AI HL practice aligned to current syllabus point AIHL 1.13.