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Mathematics: Applications and Interpretation

42 premium lessons live for IB Diploma Mathematics: Applications and Interpretation. Learn visually, read concise notes, then practise with criterion marking on every topic.

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ContentsMaths AI HL · 42 topics

Unit 1 · 8 topics

Number and algebra

◆Standard form, approximation and percentage error1 sim1.1CONTINUE Arithmetic and geometric sequences and series1 sim1.2 Financial mathematics: compound interest, annuities and amortization1 sim1.3 Exponents and logarithms1.4 Systems of equations and matrix operations1.5 Matrices: determinants, inverses and applications1.6 Eigenvalues and eigenvectors1.7 Complex numbers: Cartesian and polar form for applications1 sim1.8

Unit 2 · 7 topics

Functions

Linear models and equations of straight lines2 sims2.1 Functions: domain, range, inverse and graphs2.2 Modelling with quadratic, cubic and power functions1 sim2.3 Modelling with exponential and logarithmic functions1 sim2.4 Modelling with sinusoidal functions1 sim2.5 Modelling with logistic, piecewise and other functions2.6 Linearizing data: log-log and semi-log graphs2.7

Unit 3 · 8 topics

Geometry and trigonometry

Distances, volumes and surface areas of 3D solids1 sim3.1 Trigonometry: sine and cosine rules2 sims3.2 Applications: bearings, elevation and gradients3.3 Voronoi diagrams and nearest-neighbour problems2 sims3.4 Vectors: properties, operations and applications3.5 Vector applications: kinematics and motion3.6 Graph theory: adjacency matrices and walks3.7 Graph algorithms: spanning trees, Chinese postman and travelling salesman2 sims3.8

Unit 4 · 10 topics

Statistics and probability

Sampling techniques and data collection4.1 Descriptive statistics2 sims4.2 Correlation and regression: Pearson and Spearman4.3 Probability, Venn diagrams and tree diagrams1 sim4.4 Discrete random variables and expected value4.5 Binomial and Poisson distributions1 sim4.6 The normal distribution1 sim4.7 Hypothesis testing: chi-squared and t-tests1 sim4.8 Confidence intervals and further hypothesis testing1 sim4.9 Transition matrices and Markov chains4.10

Unit 5 · 9 topics

Calculus

Introduction to differentiation and rates of change1 sim5.1 Differentiation: tangents, normals and optimization1 sim5.2 Introduction to integration and area under a curve1 sim5.3 The trapezoidal rule and numerical integration5.4 Further differentiation and the second derivative2 sims5.5 Definite integrals: areas and volumes of revolution2 sims5.6 Kinematics and related rates of change1 sim5.7 Differential equations: Euler's method and slope fields1 sim5.8 Coupled and second-order differential equations5.9

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