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).