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NotesMath AA SL
All Subjects

IB Math AA SL SL 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

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

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

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

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

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