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v0.1.868
NotesMath AA HL
All Subjects

IB Math AA HL HL Notes

Mathematics: Analysis and Approaches

Unit 1

1.1Standard form
1.2Arithmetic sequences & series
1.3Geometric sequences & series
1.4Financial applications
1.5Logarithms
1.6Proof
1.7Exponent & log laws
1.8Infinite geometric series
1.9Binomial theorem
1.10Counting & binomial (HL only)
1.11Partial fractions (HL only)
1.12Complex numbers: Cartesian (HL only)
1.13Complex numbers: polar (HL only)
1.14De Moivre & roots (HL only)
1.15Proof by induction (HL only)
1.16Systems of equations (HL only)

Unit 2

2.1Straight lines
2.2Functions, domain & range
2.3Graphing
2.4Key features of graphs
2.5Composite & inverse functions
2.6Quadratic functions
2.7Quadratic equations & discriminant
2.8Rational functions & asymptotes
2.9Exponential & log functions
2.10Solving equations
2.11Transformations
2.12Factor & remainder (HL only)
2.13Rational functions (HL only)
2.14Odd, even & self-inverse (HL only)
2.15Inequalities (HL only)
2.16Modulus functions (HL only)

Unit 3

3.13D geometry
3.2Sine & cosine rules
3.3Bearings & elevation
3.4Radians, arcs & sectors
3.5Unit circle & exact values
3.6Identities & double angles
3.7Trig graphs & transformations
3.8Trig equations
3.9Reciprocal & inverse trig (HL only)
3.10Compound angles (HL only)
3.11Trig relationships (HL only)
3.12Vectors (HL only)
3.13Scalar product (HL only)
3.14Vector lines (HL only)
3.15Classifying lines (HL only)
3.16Vector product (HL only)
3.17Vector planes (HL only)
3.18Lines & planes (HL only)

Unit 4

4.1Sampling & reliability
4.2Data presentation
4.3Central tendency & spread
4.4Correlation & regression
4.5Probability basics
4.6Combined & conditional events
4.7Discrete random variables
4.8Binomial distribution
4.9Normal distribution
4.10Regression & prediction
4.11Conditional probability
4.12z-values & inverse normal
4.13Bayes' theorem (HL only)
4.14Continuous random variables (HL only)

Unit 5

5.1Introduction to derivatives
5.2Increasing & decreasing
5.3Differentiating polynomials
5.4Tangents & normals
5.5Introduction to integration
5.6Chain, product & quotient
5.7Second derivative
5.8Optimisation & inflexion
5.9Kinematics
5.10Integration by substitution
5.11Definite integrals & areas
5.12First principles (HL only)
5.13Limits & l'Hopital (HL only)
5.14Implicit & related rates (HL only)
5.15Further calculus (HL only)
5.16Integration by parts (HL only)
5.17Volumes of revolution (HL only)
5.18Differential equations (HL only)
5.19Maclaurin series (HL only)

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