IB Maths HL - Topic 9 Calculus (Option) - Notes

Handwritten notes that I made for my HL students on the Calculus Option (topic 9) in the IB. These are 23 pages of concise, rich notes, that clarify some of the more complicated aspects of this topic such as Rolle’s theorem or homogeneous differential equations. I use these to inform my teaching, to tell me what I need to cover next, as well as giving the notes to my students so that they can listen properly instead of frantically copying things down from the board. Subtopics:

9.1 - Limits, Squeeze Thm., L’Hôpital’s Rule, Improper Integrals

9.2 - Series and Convergence tests

9.3 - Power Series, Taylor/Maclaurin Series, Error Bounds

9.4 - Continuity, Differentiability, Rolle’s Thm., Mean Value Theorem, Reimann Sums

9.5 - Differential Equations, Separable, Linear, Homogeneous, Euler’s Method, Slope Fields

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