Teach IB Maths AI HL AHL 5.17 with guided notes covering coupled differential equations, eigenvalues, equilibrium points, stability, and phase portraits.
Students learn how to:
• Represent coupled systems in matrix form
• Find eigenvalues and eigenvectors
• Construct general solutions for linear systems
• Identify equilibrium points
• Interpret trajectories in the x–y plane
• Classify stable and unstable nodes, saddle points, centres, and spirals
• Connect eigenvalue properties with system behaviour
Clear explanations, illustrated examples, and structured analysis help students connect algebraic calculations with the qualitative behaviour of dynamic systems. The notes are ideal for classroom teaching, revision, exam preparation, or independent study.
Pairs well with these resources:
IB Maths AI HL AHL 5.17 Phase Portraits Worksheet
IB Maths AI HL AHL 5.17 Phase Portraits Slides
Fully aligned with IB Mathematics: Applications and Interpretation HL AHL 5.17 – Phase Portraits of Coupled Differential Equations.
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