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8 votes
5 answers
509 views

Good exercises that force you to apply the definition of the derivative, without explicitly telling you to do so?

I'd like to ask my students whether some real function is differentiable at a certain $x_0$. I prefer not telling them that they have to use the definition of the derivative, but to instead present a ...
Snaw's user avatar
  • 181
-1 votes
1 answer
201 views

Questions about the calculus AP [closed]

I'm not sure if this is the proper place to ask this question, but I figured I'll try anyway. If I have the option of taking a Calculus AP class, and am thinking of pursuing a career in either ...
Burt's user avatar
  • 694
14 votes
4 answers
1k views

As a TA, how to reduce imprecise notations/statements in students' exams

I'm not a course instructor, just a TA of the first quarter calculus course who lead discussion sections and grade exams. When grading the midterm, I found large number of students showed some ...
user avatar
11 votes
8 answers
1k views

Intergration by differentiating will get you $0$ marks - but how to explain why?

When integrating and differentiating, sometimes one direction is easy and the other is harder. A nice example is $\frac{d}{dx}\tan x=\sec^2x$, where differentiating is easy but integration (without ...
user1729's user avatar
  • 1,510
12 votes
4 answers
14k views

What should you do if you lose your student's exam?

Several times, I have come close to losing a student's Calculus exam. These exams are usually common exams, with everyone grading 100's of stacks. I've had exams go in wrong piles or get squished in ...
Brian Rushton's user avatar