SL 5.1—Introduction to Limits

SL 5.2—Increasing and decreasing functions

SL 5.3—Introduction to derivatives

SL 5.4—Tangents and normals

SL 5.5—Introduction to integration

SL 5.6—Stationary points, local max and min

SL 5.7—Optimisation

SL 5.8—Trapezoid rule

AHL 5.9—Differentiating standard functions and derivative rules

AHL 5.10—Second derivatives, testing for max and min

AHL 5.11—Indefinite integration, reverse chain, by substitution

AHL 5.12—Areas under a curve onto x or y axis. Volumes of revolution about x and y

AHL 5.13—Kinematic problems

AHL 5.14—Setting up a DE, solve by separating variables

AHL 5.15—Slope fields

AHL 5.16—Eulers method for 1st order DEs

AHL 5.17—Phase portrait

AHL 5.18—Eulers method for 2nd order DEs

AHL 5.17—Phase portrait Exercises

SL 5.1—Introduction to Limits

SL 5.2—Increasing and decreasing functions

SL 5.3—Introduction to derivatives

SL 5.4—Tangents and normals

SL 5.5—Introduction to integration

SL 5.6—Stationary points, local max and min

SL 5.7—Optimisation

SL 5.8—Trapezoid rule

AHL 5.9—Differentiating standard functions and derivative rules

AHL 5.10—Second derivatives, testing for max and min

AHL 5.11—Indefinite integration, reverse chain, by substitution

AHL 5.12—Areas under a curve onto x or y axis. Volumes of revolution about x and y

AHL 5.13—Kinematic problems

AHL 5.14—Setting up a DE, solve by separating variables

AHL 5.15—Slope fields

AHL 5.16—Eulers method for 1st order DEs

AHL 5.17—Phase portrait

AHL 5.18—Eulers method for 2nd order DEs

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Concept explainer video

Video coming soon

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Concept questions

Question Type 1: Finding the general solution to linear coupled differential equations with real and distinct eigenvalues

Question Type 2: Finding the particular solution to linear coupled differential equations with some initial condition and real and distinct eigenvalues

Question Type 3: Finding the general solution to linear coupled differential equations with any type of eigenvalues

Question Type 4: Sketching trajectories of general solution of linear coupled differential equations onto a phase portrait

Question Type 5: Interpreting key informative points using phase portraits

Question Type 6: Determining the type of eigenvalue given a phase portrait diagram