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
Numbers & Rounding
Sequences & Series
Sequences in General
Arithmetic Sequences
Arithmetic Sequences
Geometric Sequences
Geometric Sequences
Percentage Change
Percentage Change - Finance Application
Binomial Theorem
Binomial Theorem
Deductive & Contradiction
Deductive and Contradiction
Mathematical
Induction
Induction
Mathematical Induction
Systems of Linear
Equations
Equations
Systems of Linear Equations
Complex Numbesr & Plane
Complex Numbers and Complex Plane
Polynomials over Complex Numbers
Polynomials Over Fields
De Moivre's Theorem & Root of zn=a
De Moivre's Theorem and Roots of zn=a
IB Mathematics AA HL
Topic 2: Functions
Linear
Functions
Functions
Linear Functions
Quadratic Functions
Quadratic Functions
Function
Functions and Basics
Composition
of Functions
of Functions
Composite Functions
Inverse Function
Inverse Functions
Function Transformation
Transformations of Functions
Asymptotes
Horizontal and Vertical Asymptotes
Exponential Functions
Exponents and Growth
Logarithmic Functions
Logarithms
Exponential Equations
Exponential Equations
Polynomial
Functions
Functions
Polynomial Functions
Sum & Product of Roots
Sum and Product of Roots
Rational Functions
Rational Functions
Polynomial & Rational Inequalities
Polynomial and Rational Inequalities
IB Mathematics AA HL
Topic 3: Geometry & Trigonometry
3D Coordinate Geometry
Three-Dimensional Geometry
Sine Rule &
Cosine Rule
Cosine Rule
Triangles and Rules
Navigation
Bearings and Elevation
Arcs & Sectors
The Trigonometric Circle
Unit Circle & Trigonometric Identities
Sin, Cos, Tan Definition
Trigonometric Equations
Solving Equations
Trigonometric Functions
Graphs of Sin, Cos, Tan
Advanced Identities
More Identities and 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
Kinematics
Kinematics
Kinematics
Vector Cross
Product
Product
Cross Product
Vector Equations
of Planes
of Planes
Planes
Intersections
in 3D
in 3D
Intersections Among Lines and Planes
Distances
in 3D Space
in 3D Space
Distances
IB Mathematics AA HL
Topic 4: Statistics & Probability
Basic Concepts
of Statistics
of Statistics
Basic Statistical Concepts
Central Tendency & Spread
Measures of Central Tendency
Frequency Tables
& Grouped Data
& Grouped Data
Grouped Data Analysis
Linear
Regression
Regression
Regression and Best Fit Lines
Elementary
Set Theory
Set Theory
Set Theory and Venn Diagrams
Probability
Foundations
Foundations
Introduction to Probability
Conditional
Probability
Probability
Conditional and Independent Events
Tree
Diagrams
Diagrams
Probability Tree Diagrams
Discrete Random
Variables
Variables
Discrete Probability Distributions
Binomial
Distribution
Distribution
The Binomial Distribution
Normal
Distribution
Distribution
The Normal Distribution
Continuous
Distributions
Distributions
Continuous Random Variables
Permutations &
Combinations
Combinations
Combinations and Permutations
IB Mathematics AA HL
Topic 5: Calculus
Intro to Limits
& Derivatives
& Derivatives
Introduction to Limits and Derivatives
Product &
Quotient Rules
Quotient Rules
Linearity, Product and Quotient Rules
Chain
Rule
Rule
Chain Rule
Tangents &
Normals
Normals
Tangent and Normal Lines
Monotonicity
& Extremum
& Extremum
Monotonicity and Extremum
Concavity &
Inflection
Inflection
Concavity and Points of Inflection
Graph of the
Derivative
Derivative
The Graph of the Derivative
Optimization
Optimization
Indefinite
Integrals
Integrals
The Indefinite Integral
Integration by
Substitution
Substitution
Integration by Substitution
Definite Integrals
& Area
& Area
Definite Integrals and Area Between Curves
Kinematics
Kinematics
More
Derivatives
Derivatives
More Derivatives
Implicit
Differentiation
Differentiation
Implicit Differentiation
Related
Rates
Rates
Related Rates
Continuity &
Differentiability
Differentiability
Continuity and Differentiability
L'Hôpital's
Rule
Rule
L'Hôpital's Rule
More
Integrals
Integrals
More Integrals
Further
Substitution
Substitution
Further Integration by Substitution
Integration
by Parts
by Parts
Integration by Parts
Volumes of
Revolution
Revolution
Volumes of Revolution
Differential
Equations
Equations
Differential Equations
Maclaurin
Series
Series