M408C: DIFFERENTIAL AND INTEGRAL CALCULUS
M408D: SEQUENCES, SERIES AND MULTIVARIABLE CALCULUS
Prerequisite and degree relevance:
For M408C, either a 5460./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.
For M408D, a grade of C or better in M408C or the equivalent. (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.)
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.
M498C 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.
Some sections of M408D are reserved for students with a score of 4 or 5 on the College Board Calculus AB examination. Studnts with a 4 or 5 on the Calculus C examination may enroll in reserved advanced placement section of M427L in lieu of M408D. The advanced placement sections of M408D and 427L are honors sections and are designed for students with above-average mathematical aptitude and and a desire to study in greater depth the material of these courses.
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. 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, etc. M408D contains a discussion of various techniques of integration, 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.