TITLE: Outline and Goals of a One-Year Calculus Sequence
QUESTION [8 upvotes]: Our department is considering restructuring our traditional three semester calculus sequence so that the calculus requirement for our majors is satisfied in two semesters. 

Does your department offer such a two
  semester sequence and, if so, could
  you provide a rough outline of topics
  covered and/or textbooks used? What
  are your department's learning goals
  for this sequence? If your department
  does not offer such a sequence, has it
  been considered?

We are particularly interested in responses from faculty at small liberal arts colleges.
Addendum: It has been suggested that we consider, for the first semester, accelerating the Calculus I (differentiation) part of the course by reviewing for a week and then proceeding with Calculus II (integration) at the usual pace. The second semester is then dedicated to multivariable calculus. If your institution has tried this, feedback on this would be helpful.
Note: We intend to offer the abridged sequence only for mathematics majors (or perhaps mathematics and physics majors).

REPLY [2 votes]: We are slightly similar in that we are trying to put lots of content into a smaller space with our Calc Sequence.  We have 6 credits to do Calc 1, 2 and anything else vitally important that needs more than Calc 2, i.e. difference equations, partial derivatives and intro to differential equations.  I contextualize most everything in the biological, environmental and social science as opposed to the strictly physics approach of many texts.
I am using a yet unpublished book by Gross, Bodine and Lenhart, so that won't help you, but another good one I've seen is MAA's Online calculus book by Smith.
I did a survey of faculty who had Calc as a program requisite or a course prereq and listed all different topics, followed by some explanation as to applications of the content.  What it came down to was a preference for our case concept over computation, and an understanding of equilibria and modeling.  We eliminated several proofs of derivative formulas as well as did not discuss several integration techniques.  Skipped L'Hospital and convergence of series.  What we DID get to that many don't, especially in a 3-3 sequence do was some intro programming, discrete and continuous population growth models, and SIR models.
I have taught Calc I and II in one 3 credit semester before using Cullen's Mathematics for Bioscience and it was rather accelerated.  I highly recommend the use of a CAS for an accelerated sequence with less emphasis on hand calculation techniques.