Talk:Calculus pre-test

I am currently a first year mathematics student at Wollongong University Australia. Whilst I am fully aware that courses do differ in content, I thought I would give another prespective on how we approach calculus in its various levels.  =Pre-Calculus= Algebra Trig Functions I have not even covered these things
 * 1)  Algebra comes first
 * 2)  What is a logarithm?
 * 3)  What is a slope-intercept equation?
 * 1)  What is a radian?
 * 2)  What is a trigonometric function?
 * 3)  Name a trigonometric identity.
 * 1)  What is a function?
 * 2)  What is an inverse function?
 * 3)  What is a parametric equation?
 * 1)  What does it mean for something to be proportional?
 * 2)  What does injective, surjective, and bijective mean?

=Calculus I=

Limits Differentiation
 * 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?
 * 1)  What is a derivative?
 * 2)  What is the product rule?
 * 3)  What is the relation between differentiability and continuity?
 * 4)  What is the chain rule?

I have not even covered these things
 * 1)  What is the relation between a local extrema and a derivative of a function?
 * 2)  What is the mean value theorem?
 * 3)  What is L'Hôpital's rule?

=Calculus II= Integration
 * 1)  What is the Fundamental Theorem of Calculus?
 * 2)  What is an integral?
 * 3)  What is the substitution method?
 * 4)  What is the difference between a definite and indefinite integral?

I have not even covered these things
 * 1)  What is a Riemann Sum?

My Outline
It seems clear below that Pre Calculus covers Calculus I or Differentiation covers Calculus II or Integration covers
 * 1)  Algebra
 * 2)  Trigonometry
 * 3)  Functions
 * 1)  Limits
 * 2)  Differentiation rules
 * 1)  Integration rules

there should be Calculus III or Advanced Calculus covers
 * 1)  What is the relation between a local extrema and a derivative of a function?
 * 2)  What is the mean value theorem?
 * 3)  What is L'Hôpital's rule?
 * 4)  What is a Riemann Sum?

Course Outline
Precalculus should probably follow an outline similar to OpneStax: Precalculus. -- Dave Braunschweig (discuss • contribs) 00:33, 2 May 2020 (UTC)