Calculus pre-test

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General Questions[edit]

What are you looking to get out of this course?

What would you say is your general knowledge of math?

Would you like a formal treatment of Calculus (very heavy, requires set theory), or an intuitive treatment of Calculus?

What times do you have available/would prefer for lectures?

Any other comments?

Pre-Calculus[edit]

  1. What is a function?
  2. What is an inverse function?
  3. What is a logarithm?
  4. What is a radian?
  5. What is a trigonometric function?
  6. Name a trigonometric identity.
  7. What is a parametric equation?
  8. What is a slope-intercept equation?
  9. What does it mean for something to be proportional?
  10. What does injective, surjective, and bijective mean?

Calculus I[edit]

  1. I will accept an intuitive or formal answer for this, although a formal answer is obviously preferred: what is a limit?
  2. What is a one-sided limit?
  3. What does it mean for a function to be continuous? Is it possible for a function to be discontinuous everywhere?
  4. What is a derivative?
  5. What is the product rule?
  6. What is the relation between differentiability and continuity?
  7. What is the chain rule?
  8. What is the relation between a local extrema and a derivative of a function?
  9. What is the mean value theorem?
  10. What is L'Hôpital's rule?

Calculus II[edit]

  1. What is an integral?
  2. What is a Riemann Sum?
  3. What is the Fundamental Theorem of Calculus?
  4. What is the substitution method?
  5. What is the difference between a definite and indefinite integral?