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IB Math AI HL Flashcards

Master Mathematics: Applications and Interpretation with 944+ free flashcards. Spaced repetition helps you remember more and forget less.

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944 flashcards across all 78 topics

U1: Numbers and Algebra

Sequences and sigma notation

Geometric sequences

Financial applications: compound interest and annual depreciation

Exponents and logarithms

Approximating and estimating

Loan repayments and amortization

Technology methods for linear and polynomial systems

Log laws (HL only)

Non-integer exponents (HL only)

Infinite geometric series (HL only)

Complex numbers: intro (HL only)

Complex numbers: continued (HL only)

Matrices (HL only)

Eigenvalues & eigenvectors (HL only)

U2: Functions

Equations of a line

Functions, domains, ranges, and graphs

Graph of a function

Features of a graph

Modeling functions

Modeling skills

Composite & inverse functions (HL only)

Graph transformations (HL only)

HL modelling (HL only)

Log-log & semi-log graphs (HL only)

U3: Geometry and Trigonometry

3D space, volume, angles, and midpoints

2D and 3D trigonometry

Angles of elevation and depression

Circle arc length and area of sector (degrees)

Line intersections and perpendicular bisectors

Voronoi diagrams

Radians (HL only)

Unit circle & trig equations (HL only)

Matrix transformations (HL only)

Vector definitions (HL only)

Vector equation of a line (HL only)

Vectors & kinematics (HL only)

Scalar & vector products (HL only)

Graph theory (HL only)

Adjacency matrices (HL only)

Route algorithms (HL only)

U4: Statistics and Probability

Introduction to statistics

Presentation of data

Mean, median, and mode

Correlation of data

Trial and outcome

Discrete random variables

Binomial distribution

Normal distribution

Spearman rank correlation coefficient

Expected, observed, hypotheses, chi-squared, goodness of fit, and t-test

Data collection & validity (HL only)

Non-linear regression (HL only)

E(X), Var(X) & estimators (HL only)

Central limit theorem (HL only)

Confidence intervals (HL only)

Poisson distribution (HL only)

t & z tests, errors (HL only)

Markov chains (HL only)

U5: Calculus

Introduction to limits

Increasing and decreasing functions

Introduction to derivatives

Tangents and normals

Introduction to integration

Stationary points, local maximum and minimum

Differentiation rules (HL only)

Second derivatives (HL only)

Integration techniques (HL only)

Areas & volumes of revolution (HL only)

Kinematics (HL only)

Differential equations (HL only)

Slope fields (HL only)

Euler's method (1st order) (HL only)

Phase portraits (HL only)

Euler's method (2nd order) (HL only)

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