Oxford University Mathematician takes American AP Calculus BC Math Exam

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Published 2024-02-11
University of Oxford Mathematician Dr Tom Crawford sits the AP Calculus BC exam with no preparation. The exam is often taken by American High School students as part of college application process.

There are 5 AP Math exams, 4 on Calculus, and 1 on Statistics. The Calculus BC exam is the highest level offered.

The paper in the video is the 2022 version of the exam, Section II, Part B (non-calculator). You can download the exam paper and mark scheme for yourself at the links below.

BC Paper Section II: tomrocksmaths.files.wordpress.com/2024/02/bc-2022-…

BC Mark Scheme Section II: tomrocksmaths.files.wordpress.com/2024/02/bc-2022-…

The exam paper and all questions contained within are the property of AP Central. Material is used under a 'fair use' policy for educational purposes.

Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: www.conted.ox.ac.uk/profiles/tom-crawford

Watch Tom take other Exams on the designated playlist here:    • Exams  

A-level Maths:    • Oxford University Mathematician Sits ...  

A-level Further Maths:    • Oxford University Mathematician vs Hi...  

GCSE Maths:    • Oxford University Mathematician takes...  

GCSE Further Maths:    • Oxford University Mathematician takes...  

SAT Maths:    • Oxford University Mathematician takes...  

Cambridge University Admissions Test (STEP Paper) Part 1:    • Oxford University Mathematician takes...  

Cambridge University Admissions Test (STEP Paper) Part 2:    • Oxford University Mathematician sits ...  

German Maths Abitur:    • Oxford University Mathematician takes...  

IB Maths:    • Oxford University Mathematician takes...  

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Video edited by Ryd Cook.

All Comments (21)
  • @austint1151
    He made a mistake a minute in. He labeled something as (4, 0) instead of (0, 4). Didn't lead to any miscalculations but imagine plugging those numbers in without realizing it. Actual mathematician doing the same stuff we do. That actually feels great.
  • @wolfiegames1572
    0:33 Quick correction: Calculas AB and BC are the 2 calculus courses, Precalculus isn't really a calculus course, more just expanding on and connecting topics covered in algebra 2 and geometry and Adopt AP Precalculus isn't a course but it's there because this is the first year that AP Precalculus exists so it contains information for schools and stuff to learn about it.
  • Just started watching your video, the one on GCSE exam paper. I’m glad to see I have more to watch! These are incredibly fun to watch
  • @Taco_cat1239
    As a student studying for calc bc, this video was phenomenal and fun to watch
  • @profenk
    Wow I’ve been waiting for SOMEONE to take the BC exam, and you’re the one. Ive been straight up practicing for a year already.
  • I had this exam when taking AP Calc BC a couple years ago! I still remember that 6b problem because the 1/10 tripped me up haha. Loved seeing you go through the exam!
  • I took my AP Calc BC test back in 2022, one of my favorite AP classes I ever took. Got a 5 in it :)
  • @JohnSm3847
    I remember taking AP chem in high school. That course had me on my knees. Watching you work through the FRQ practice problems gave me flashbacks.
  • @yaseensaid5962
    I love you man , God bless you and your country 🇬🇧❤
  • @browningcf
    I love seeing this so much because as I do math I have to have all these same thoughts. And now that im a teacher it's great to see a professor struggle with these same things.
  • @pullfunnystick
    I’m not near any of this but the fact a person this established is working this hard and thinking this hard ab this scares me
  • @robertmiller4139
    As an AP Calculuc BC teacher, I really enjoyed hearing your thought processes.
  • @jackzawada4375
    You're unnaturally stylish for a mathematician, Dr Tom! ;-) Keep up the good work sir, much love, much love...
  • @cosmicflare_
    There’s no IB math HL at my school (only SL), so I’m doing this next year. Ty for making this
  • @Oirezthefirst
    Love your videos, I was wondering if you could make a video about tetration,pentation and hexatation.
  • @moonrunes6719
    As someone taking AP Calculus BC right now, this was very fun to watch
  • @gethinlewis3394
    for the first question. you needed f(4) because of the integration constant. there would be no way of knowing any value of f by knowing f’ without knowing atleast one value of f at a certain point. the higher the order of derivative the more unknown constants, and therefore we’d need a value of f and f’ at a certain point to know anything about f and f’ from f’’