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Germany‘s Final Exam – Basics of Calculus

21K views · Jan 11, 2026 · Education

Comments · 99

  • @jmpattillo · 8 months ago

    I would not have graduated.

    24

  • @OnceAnEngineer · 8 months ago

    Again, a clear and patient explanation.  My calculus was decades ago, but it's fun to be refreshed with a problem like this.

    3

  • @eMCatman · 8 months ago

    Finally, an anti-derivative example using the mysterious "C" constant! LOL I didn't see calculus until my first semester of engineering math in college

    13

  • @michaelmullen2991 · 8 months ago

    Vary good, brings back memories of me helping my daughter with her high school math when she was a senior, I didn't have calculus until I was in college. I tutored Algebra, Geometry, Trigonometry, Calculus and a few others as need dictated when I was in college as a way of making some extra money but I hadn't use calculus much at all in my job and admittedly had struggled at times helping her. Thank you.🙂

    2

  • @Paul-u9d · 8 months ago

    I was an electrical engineer for 30 years, after my position was shipped over seas, I became a math teacher at my local hs. I had many happy albeit, brief years shaping fragile eggshell minds!

    1

  • @strshdw71 · 8 months ago

    I got two more constants from this problem. The first constant is that Susanna is a wizard math teacher. The second constant is that I would have soooo failed this test. Math and I have an understanding: I hate it and it hates me.

    1

  • @m_dot_h_dot · 8 months ago

    For those interested: In Germany, there is no such thing as separate courses for "calculus", "algebra", "trigonometry", etc. There is only "Mathematik" (="math"), which teaches the entire spectrum of mathematics. In some schools (specifically "Gymnasium" - the more theoretical branch of schools), there are different levels like "Grundkurs" (= "Math 101") and "Leistungskurs" (= "AP Math"). Both are still very broad, but have different difficulties.

    1

  • @xoxb2 · 8 months ago

    Blimey. I was at school in England in the 70s/80s. We never went anywhere near this. Thank God! Haven't got the first clue what's going on here.

    3

  • @jidraffgithendu7546 · 2 months ago

    Very nicely explained Susanne

  • @abpob6052 · 8 months ago

    That was an excellent problem for a HS graduate that had taken Calculus. It covered several basic topics and was not overly difficult. I haven't seen calculus in 40 yrs but could still get part A in my head and part B with a pencil and paper.

  • @cousinfrosty1157 · 8 months ago

    It's been 45 years since I took calculus in college for my computer science degree.  I always loved math. I can still do power rule stuff, but my memory is a little fuzzy now beyond that. Love the channel!

  • @mohabatkhanmalak1161 · 8 months ago

    Wonderful, I sort of had an idea what was being asked (the no calculator was a clue), but got stuck and had to see the solution. Thanks teacher Susanne.

    2

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