IB Mathematics: Applications and Interpretation
Unit 1 — Numbers, Approximation and the GDC
Unit 2 — Exponents and Logarithms
Unit 3 — Sequences and Series
Unit 4 — Financial Mathematics
Unit 5 — Complex Numbers
Unit 6 — Matrices
Unit 7 — Eigenvalues and Eigenvectors
Unit 8 — Linear Functions and Models
Unit 9 — Functions
Unit 10 — Modelling with Functions
Unit 11 — Transformations of Graphs
Unit 12 — Further Models
Unit 13 — Geometry and Trigonometry
Unit 14 — Voronoi Diagrams
Unit 15 — Radians and the Unit Circle
Unit 16 — Matrix Transformations
Unit 17 — Vectors
Unit 18 — Vector Kinematics
Unit 19 — Graph Theory
Unit 20 — Graph Algorithms
Unit 21 — Statistics
Unit 22 — Correlation and Regression
Unit 23 — Non-Linear Regression and Logarithmic Scales
Unit 24 — Probability
Unit 25 — Probability Distributions
Unit 26 — Hypothesis Testing
Unit 27 — Random Variables and Estimation
Unit 28 — The Poisson Distribution
Unit 29 — Hypothesis Testing for Parameters
Unit 30 — Markov Chains
Unit 31 — Introduction to Differentiation
Unit 32 — Applications of Differentiation
Unit 33 — Integration
Unit 34 — Further Differentiation
Unit 35 — Further Integration
Unit 36 — Kinematics
Unit 37 — Differential Equations
Unit 38 — Coupled Systems and Phase Portraits

Unit 31 — Introduction to Differentiation

Topic 5: Calculus

Syllabus content: SL 5.1 SL 5.3 SL 5.2 SL 5.4

Section	Syllabus
31.1 Limits and the Derivative (coming soon)	SL 5.1
31.2 The Power Rule (coming soon)	SL 5.3
31.3 Increasing and Decreasing Functions (coming soon)	SL 5.2
31.4 Tangents and Normals (coming soon)	SL 5.4

Review exercises (coming soon)