M408D: SEQUENCES, SERIES, AND  MULTIVARIABLE CALCULUS

(TCCN: MATH 2419)

Prerequisite and degree relevance: A grade of C- or better in M408C or M408L or the equivalent. 408D may not be counted by students with credit for Mathematics 403L, 408S, 408M. Both of M408C and M408D (or the equivalent sequences M408K, M408L, M408M; M408N, M408S, M408M) are required for mathematics majors, and mathematics majors are required to make grades of C- or better in these courses. Certain sections of this course are reserved as advanced placement or honors sections; they are restricted to students who have scored well on the advanced placement AP/BC exam, or are honors students, or who have the approval of the Mathematics Advisor. Such sections and their restrictions are listed in the Course Schedule for each semester.

Note: The pace of M408C and M408D is brisk. For this reason, transfer students with one semester of calculus at another institution are requested to consult with the Undergraduate Adviser for Mathematics to determine whether M408D or an alternative, M308L, is the appropriate second course.

Course description: M408C, M408D is our standard first-year calculus sequence. It is directed at students in the natural and social sciences and at engineering students. The emphasis in this course is on problem solving, not on the presentation of theoretical considerations. While the course necessarily includes some discussion of theoretical notions, it s primary objective is not the production of theorem-provers. M408D contains a treatment of infinite series, and an introduction to vectors and vector calculus in 2-space and 3-space, including parametric equations, partial derivatives, gradients and multiple integrals. M408C and M408D classes meet three hours per week for lectures and two hours per week for problem sessions.