M408C: DIFFERENTIAL AND INTEGRAL CALCULUS

(TCCN: MATH 2417)

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 or M505G. 408C may not be counted by students with credit for Mathematics 403K, 308K, or 308L. 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.

Note: Students who score less than 600/580 on the Mathematics Level I or IC Test should be aware that studies show taking M305G or M505G first is likely to improve their grade in M408C.

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.