IB Mathematics Applications & Interpretation Topic Calculus (SL/HL) covers syllabus content. Use these notes, questionbank, videos, flashcards, and lessons to review the topic, practise exam questions, and move between notes, videos, flashcards, and lessons where available.
Practice
What this topic covers
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