This resource has a pdf of handwritten notes for the fifth topic of the recently changed Applications and Interpretations HL (AIHL) course. This has the 8 subtopics that are included in A&I SL, plus an additional 10 subtopics for HL. There will also be significant overlap with the A&A Calculus. The other three courses have been available for a while, and I have only just been able to get A&I HL written, in time for the 2023 May exams.

My hope is that if you like this resource, please ‘follow’ my shop, so you will be notified when the remainder of the notes become available over the next few months. Please let me know if you have any feedback or improvements that could be made.

This topic (calculus) includes:

5.1 - Limits, Slopes of Curves

5.2 - Increasing, Decreasing Intervals

5.3 - Polynomial Derivatives

5.4 - Tangents, Normals

5.5 - Intro to Integration

5.6 - Turning Points

5.7 - Optimisation

5.8 - Trapezoidal Rule

5.9 - Differentiation Rules (HL)

5.10 - Second Derivatives (HL)

5.11 - Integration Methods (HL)

5.12 - Area & Volume (HL)

5.13 - Kinematics (HL)

5.14 - Separable Diff. Eqs. (HL)

5.15 - Slope Fields (HL)

5.16 - Euler's Method (HL)

5.17 - Phase Portraits & Coupled Systems (HL)

5.18 - 2nd Order Diff. Eqs. (HL)