Calculus pre-test

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General Questions
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

 * 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?
 * 11) What are logarithmic equations?

Calculus I

 * 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

 * 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?