M408C: DIFFERENTIAL AND INTEGRAL CALCULUS

Prerequisite and degree relevance:

Either a 560/540 on the Mathematics Level I or IC Test or 560 on Mathematics Level II

or a grade of at least C in M304E or M305G.

Note: Students who score less than 600/580 on the Mathematics Level I or IC Test should

be aware that studies show taking M305G first is likely to improve their grade in M408C.

408C may not be counted by students with credit for Mathematics 403K, 308K, or 308L.

408D may not be counted by students with credit for Mathematics 403L, 308M.

M408C and M408D (or the equivalent sequence M308K, M308L, M308M) are required

for mathematics majors, and mathematics majors are required to make grades of C or

better in these courses.

Course description:

M408C is our standard first-year calculus course. 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, its primary objective is not

the production of theorem-provers.

The syllabus for M408C includes most of the elementary topics in the theory of real-

valued functions of a real variable: limits, continuity, derivatives, maxima and minima,

integration, area under a curve, volumes of revolution, trigonometric, logarithmic and

exponential functions and techniques of integration.

M408C classes meet three hours per week for lectures and two hours per week for

problem sessions.