IB Maths AI Worksheet AHL 5.17 - Phase Portraits of Coupled Differential Equations

Teach IB Maths AI HL AHL 5.17 with a complete student-and-teacher notes pack covering coupled differential equations, eigenvalues, stability, and phase portraits.

Students learn how to:

• Represent coupled systems in matrix form
• Calculate eigenvalues and eigenvectors
• Find and classify equilibrium points
• Construct general solutions
• Sketch and interpret phase portraits
• Identify nodes, saddle points, centres, and spirals
• Explain stability and trajectory behaviour

The student copy includes structured notes and guided practice, while the teacher copy provides complete solutions, eigenvalue calculations, and clear explanations. Ideal for classroom teaching, revision, exam preparation, or independent study.

Pairs well with these resources:

IB Maths AI HL AHL 5.17 Phase Portraits Slides

IB Maths AI HL AHL 5.17 Phase Portraits Worksheet

Fully aligned with IB Mathematics: Applications and Interpretation HL AHL 5.17 – Phase Portraits of Coupled Differential Equations.