IB Mathematics AA HL - Lecture Notes
The IB Mathematics Analysis & Approaches (AA) Higher Level (HL) Lecture Notes page are clear, comprehensive, and well-organized, making complex concepts easy to understand. With detailed explanations, diagrams, and examples, they are perfect for exam review and enhancing understanding, offering essential support for academic success.
IB Mathematics AA HL
Topic 1: Number & Algebra
Numbers &
Rounding
Rounding
Numbers & Rounding
Sequences
& Series
& Series
Sequences in General
Arithmetic
Sequences
Sequences
Arithmetic Sequences
Geometric
Sequences
Sequences
Geometric Sequences
Financial
Applications
Applications
Percentage Change & Finance
Binomial
Theorem
Theorem
The Binomial Theorem
Deductive
Proofs
Proofs
Deductive & Contradiction
Mathematical
Induction
Induction
Mathematical Induction
Linear
Equations
Equations
Systems of Equations
Complex
Numbers
Numbers
The Complex Plane
Complex
Polynomials
Polynomials
Polynomials Over Fields
De Moivre's
Theorem
Theorem
Theorem & Roots
IB Mathematics AA HL
Topic 2: Functions
Lines &
Linear Functions
Linear Functions
Lines (Linear Functions)
Quadratic
Functions
Functions
Quadratics
Domain,
Range, Graph
Range, Graph
Functions & Basics
Composition
of Functions
of Functions
Composite Functions: fog
The Inverse
Function
Function
Inverse Functions: F⁻¹
Function
Transformations
Transformations
Transformations of Functions
Asymptotes
Horizontal & Vertical
Exponential
Functions
Functions
Exponents & Growth
Logarithmic
Functions
Functions
Logarithms & Rules
Exponential
Equations
Equations
Exponential Equations
Polynomial
Functions
Functions
Polynomial Functions
Sum & Product
of Roots
of Roots
Sum and Product of Roots
Rational Functions
& Partial Fractions
& Partial Fractions
Rational Functions
Polynomial &
Rational Inequalities
Rational Inequalities
Inequalities
Modulus
Equations
Equations
Equations & Inequalities
Symmetries &
Transformations
Transformations
Symmetries of f(x)
IB Mathematics AA HL
Topic 3: Geometry & Trigonometry
3D Coordinate
Geometry
Geometry
Three-Dimensional Geometry
Sine Rule &
Cosine Rule
Cosine Rule
Triangles & Rules
3D Applications
& Navigation
& Navigation
Bearings & Elevation
Arcs &
Sectors
Sectors
The Trigonometric Circle
Unit Circle
& Identities
& Identities
Sin, Cos, Tan Definition
Trigonometric
Equations
Equations
Solving Equations
Trigonometric
Functions
Functions
Graphs of Sin, Cos, Tan
Advanced
Identities
Identities
More Identities & Equations
Inverse Trig
Functions
Functions
Arcsin, Arccos, Arctan
Vectors:
Geometric
Geometric
Geometric Representation
Vectors:
Algebraic
Algebraic
Algebraic Representation
Scalar (Dot)
Product
Product
Angle Between Vectors
Vector Lines
(2D)
(2D)
Vector Equation 2D
Vector Lines
(3D)
(3D)
Vector Equation 3D
Vector Equation
of a Plane
of a Plane
Equation of a Plane
Intersections
& Distances
& Distances
Intersections in 3D
IB Mathematics AA HL
Topic 4: Statistics & Probability
Basic Concepts
of Statistics
of Statistics
Basic Concepts
Central Tendency
& Spread
& Spread
Measures of Data
Frequency Tables
& Grouped Data
& Grouped Data
Grouped Data
Regression
Lines of Best Fit
Elementary
Set Theory
Set Theory
Venn Diagrams
Probability
Basic Probability
Conditional
Probability
Probability
Independent Events
Tree
Diagrams
Diagrams
Probability Trees
Discrete
Distributions
Distributions
General Distributions
Binomial
Distribution
Distribution
B(n,p) Distribution
Normal
Distribution
Distribution
N(μ,σ²) Distribution
Continuous
Distributions
Distributions
General Continuous
Counting &
Permutations
Permutations
Combinations
IB Mathematics AA HL
Topic 5: Calculus
Limits &
Derivatives
Derivatives
The Limit & f'(x) Concept
Derivative
Rules
Rules
Standard Derivatives
The Chain
Rule
Rule
Composite Functions
Tangents &
Normals
Normals
Lines at a Point
Monotony:
Max & Min
Max & Min
Increasing/Decreasing
Concavity &
Inflexion
Inflexion
Points of Inflexion
Graph of
f'(x)
f'(x)
Visualizing Derivatives
Optimization
Applied Max/Min Problems
Indefinite
Integral
Integral
Anti-Differentiation
Integration by
Substitution
Substitution
Standard Substitution
Definite Integral
& Area
& Area
Area Between Curves
Kinematics
Displacement, Velocity, Accel.
More
Derivatives
Derivatives
Advanced Rules
Implicit
Differentiation
Differentiation
& More Kinematics
Related
Rates
Rates
Rates of Change
Continuity &
Differentiability
Differentiability
Formal Definitions
L'Hôpital's
Rule
Rule
Limits of Indeterminate Forms
More
Integrals
Integrals
Advanced Integration
Further
Substitution
Substitution
Advanced Substitution
Integration
by Parts
by Parts
Product Integration
Further Areas
& Volumes
& Volumes
Volumes of Revolution
Differential
Equations
Equations
Solving DEs
Maclaurin
Series
Series