This is an honors level multivariable calculus course with considerable focus on proofs and formal reasoning. The lectures will emphasize concepts in mathematical thinking. Students begin professional write-ups of homework problems, and some proofs are included in the assignments and on the exams. Sept. - Dec. It is a continuation of Calculus II, Semester II with greater emphasis on concepts and proofs.
Lectures go well beyond the text.
Students are expected to do more proofs and formal reasoning than in previous courses in homework and exams, and professional write-ups of homework problems are required each week. Upon successful completion of Calculus III, one possible option is the Advanced Topics course. This is a bridge course to upper division mathematics. Lectures are independent of texts, making class participation and note-taking a major part of each session. Topics may include significant numbers of proofs.