- 5 Sections
- 81 Lessons
- 40 Weeks
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- Unit 1. Number and algebra15
- 1.1Scientific notation AA HL
- 1.2Arithmetic sequences and series AA HL
- 1.3Geometric sequences and series AA HL
- 1.4Financial applications AA HL
- 1.5Exponents and logarithms AA HL
- 1.6Deduction AA HL
- 1.7Infinite geometric sequences AA HL
- 1.8The binomial theorem AA HL
- 1.9Counting principles AA HL
- 1.10Partial fractions AA HL
- 1.11Complex numbers AA HL
- 1.12Complex numbers different forms AA HL
- 1.13Powers and roots of complex numbers AA HL
- 1.14Proof by induction and Contradiction AA HL
- 1.15Systems of linear equations AA HL
- Unit 2. Functions15
- 2.1Straight lines AA HL
- 2.2Functions AA HL
- 2.3Graphs and Key features of functions AA HL
- 2.4Composite and inverse functions AA HL
- 2.5The quadratic function AA HL
- 2.6Quadratic equations and quadratic inequalities AA HL
- 2.7Rational functions AA HL
- 2.8Exponential functions AA HL
- 2.9Solving equations AA HL
- 2.10Transformations of graphs AA HL
- 2.11Polynomial functions AA HL
- 2.12Further rational functions AA HL
- 2.13Odd and even functions AA HL
- 2.14Solving inequalities AA HL
- 2.15Further graph transformations AA HL
- Unit 3. Geometry and trigonometry18
- 3.1Three-dimensional space AA HL
- 3.2Triangle trigonometry AA HL
- 3.3Applications of trigonometry AA HL
- 3.4The circle AA HL
- 3.5Trigonometric ratios beyond acute angles AA HL
- 3.6Trigonometric identities AA HL
- 3.7Circular functions AA HL
- 3.8Trigonometric equations AA HL
- 3.9Inverse trigonometric functions AA HL
- 3.10Trigonometric identities AA HL
- 3.11Further circular functions AA HL
- 3.12Vectors AA HL
- 3.13Scalars AA HL
- 3.14Lines in two and three dimensions AA HL
- 3.15Relative positions of lines AA HL
- 3.16Vector product AA HL
- 3.17Vector equations of a plane AA HL
- 3.18Angles between lines and planes AA HL
- Unit 4. Probability and statistics14
- 4.1Collection of data and sampling AA HL
- 4.2Presentation of data AA HL
- 4.3Measures of central tendency AA HL
- 4.4Linear correlation of bivariate data AA HL
- 4.5Probability and expected outcomes AA HL
- 4.6Probability calculations AA HL
- 4.7Discrete random variables AA HL
- 4.8The binomial distribution AA HL
- 4.9The normal distribution and curve AA HL
- 4.10Further linear regression AA HL
- 4.11Conditional probability AA HL
- 4.12The standard normal distribution AA HL
- 4.13Bayes’ theorem AA HL
- 4.14Continuous random variables AA HL
- Unit 5. Calculus19
- 5.1Introduction to differentiation AA HL
- 5.2Increasing and decreasing functions AA HL
- 5.3Derivatives of power functions AA HL
- 5.4Tangents and normals AA HL
- 5.5Introduction to integration AA HL
- 5.6Differentiation rules AA HL
- 5.7Further graph properties AA HL
- 5.8Optimisation AA HL
- 5.9Kinematics AA HL
- 5.10Indefinite integrals AA HL
- 5.11Definite integrals AA HL
- 5.12Limits and continuity AA HL
- 5.13Limits of indeterminate forms AA HL
- 5.14Applications of differentiation AA HL
- 5.15Further differentiation AA HL
- 5.16Further integration AA HL
- 5.17Area and volume AA HL
- 5.18Differential equations AA HL
- 5.19Maclaurin and Taylor series expansions AA HL