Exclusive to AA HL, Maclaurin series provides a powerful method for representing functions as infinite power series centred at zero. Students develop expansions for standard functions including eˣ, sinx, cosx, ln(1+x) and (1+x)^p, and use substitution, multiplication, differentiation and integration to obtain series for related functions. Convergence is discussed, and Maclaurin series can also be developed as solutions to differential equations, linking this subtopic to both calculus and the broader course.
Start here
Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.
Video lessons
Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.
Take the mock exams
It’s time to put your knowledge to the test with our mock exams — the closest experience you’ll get to the real IB Math exams. Note: read the instructions on taking mock exams here.
