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Mathematics Applications & Interpretation (AI)

What Is a Phase Portrait for a System of Coupled Differential Equations?

Learn how a phase portrait represents coupled differential equations, how eigenvalues determine stability, and what IB Math AI HL exam answers require.

AHL 5.17-Phase portrait

How Do Eigenvalues Determine Whether Solutions Move Toward or Away From the Origin?

Learn how eigenvalue signs and real parts classify phase portraits as stable, unstable, saddle, spiral, or centre for IB Mathematics AI HL exam questions.

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Every question IB students actually ask.

Mathematics Applications & Interpretation (AI)

What Is a Phase Portrait for a System of Coupled Differential Equations?

How Do Eigenvalues Determine Whether Solutions Move Toward or Away From the Origin?

MYP Subjects

Mathematics Applications & Interpretation (AI)

What Is a Phase Portrait for a System of Coupled Differential Equations?

How Do Eigenvalues Determine Whether Solutions Move Toward or Away From the Origin?

How Do You Sketch a Trajectory Using a Phase Portrait?

How Do You Convert a Second-Order Differential Equation Into a Coupled First-Order System?

How Do You Solve a Second-Order Differential Equation Using Euler's Method?

How Do You Find the Length of an Arc and the Area of a Sector?

How Do You Find the Determinant and Inverse of a 2×2 Matrix?

How Are Matrices Used to Code and Decode Messages?

How Do You Find the Characteristic Polynomial of a 2×2 Matrix?

How Are Eigenvalues Used to Find Powers of a Matrix (Population Models; Predator-Prey Models)?

What's the Difference Between Gradient-Intercept, General, and Point-Gradient Form of a Line?

How Do You Diagonalize a 2×2 Matrix?

What's the Relationship Between Gradients of Parallel and Perpendicular Lines?

What Is a Function, and What Are Its Domain and Range?

How Do You Create a Sketch From Information Given or a Real-World Context?

How Do You Find the Maximum, Minimum, Intercepts, and Asymptotes of a Graph Using Technology?

How Do You Model a Real-World Situation With a Linear Function?

How Do You Find the Points of Intersection of Two Curves Using Technology?

How Do You Model Exponential Growth or Decay (Population; Radioactive Decay; Compound Interest)?

How Do You Choose an Appropriate Mathematical Model for a Real-World Context?

How Do You Determine a Reasonable Domain for a Model?

How Do You Model a Real-World Situation With a Cubic Function?

How Do You Find the Parameters of a Model Using Simultaneous Equations or Given Data Points?

What Is a Logistic Model and What Does Its “Carrying Capacity” Mean?