1 semester

**Prerequisite:** Successful *completion *of Pre-Calculus Math 12 (i.e. this course may not be taken concurrently with Pre-Calculus Math 12)

**Recommendation:** A minimum of 73% (B) in Pre-Calculus Math 12

Calculus 12 is intended for students planning to take a first-year Calculus course as part of their post-secondary studies in such disciplines as economics, engineering, mathematics and science. Calculus 12 is intended for mathematically capable, hard-working students and requires significant amounts of work outside of class each day (30-60 minutes per night). Note that this time estimate does not include additional time for review and test preparation and will vary depending on individual ability.

This course previews most of the major topics taken in first-year Calculus. It is a great advantage to be familiar with the nature of the subject prior to encountering it in postsecondary as it is very different from previous courses in mathematics. Although many universities only *recommend *taking Calculus 12, some university programs are shifting to requiring that Calculus 12 be successfully taken (e.g. University of Toronto Engineering). Students are expected to research what their prerequisites are; it is recommended to sign-up for Calculus 12, should you not be certain which postsecondary pathway you are taking. *Again, only programs that require First Year Calculus may have a Calculus 12 requirement. *

**Topics may include:** functions and graphs; limits: left and right limits, limits to infinity, continuity; differentiation: rate of change, differentiation rules, higher order/implicit, applications; integration: approximations, fundamental theorem of calculus, methods of integration, applications